User:ColorfulGalaxy/Encyclopedia of numbers：修订间差异

2026年3月10日 (二) 20:38的版本

This article is inspired by this article, which was biased towards decimal properties and did not mention imaginary numbers. This article, instead, is biased towards septenary and tetradecimal properties, though the numbers are written in decimal. Shidinn-related entries, including those notable noticed by other Shidinn enthusiasts, are also welcome.

Readers may try to verify these as an exercise. If there is something wrong, please contact the author.

目录
0	1	2	7	14	49	196	343	2401	2744
Top of page — Legend — See also — External links

Legend

Positive prime numbers

Number (excluding positive prime numbers) whose absolute value is an integer

Number whose absolute value is a rational number that is not integer

Number whose absolute value is an algebraic irrational number

Number whose absolute value is a transcendental real number

Unknown/approximation

Some terms can have subscripts. They indicate which base^[1] the property applies in. For example, "digit₁₄"^[2] is read as "tetradecimal digit".

Numbers

0

... is the smallest non-negative number.
... is the additive identity.
... is the number of two-digit₇^[2] prime numbers that are both "emirp₇"^[3] and Mersenne.
... is the number of two-digit₇^[2] prime numbers that are neither "emirp₇"^[3] nor Mersenne.

1

... is the smallest positive number.
... is the multiplicative identity.
... has a Shidinn letter shaped like it: Shidinn letter 1
... percent is approximately the relative frequency of three-letter palindromic Shidinn words among all Shidinn words (not counting legacy spelling).
... is the only digit_14(za)^[2]^{[note 1]} with an ascender pointing at the top left corner. (citation needed)

2

... is the smallest positive prime number.
... is the only even positive prime number.
... is an RDI₇^[4] of order 2.
... is the last distinct digit₇^[2] to encounter when the digits₇ of π are scanned^[5].
... is an honest number^[6] in Shidinn.

3

... is the smallest odd positive prime number.
... is the smallest Full Reptend Prime₁₄^[7].
... percent is approximately the relative frequency of five-letter Shidinn words among all Shidinn words (not counting legacy spelling).

π

... contains almost everyone's birthday in 6-digit or 8-digit form.
... is the irrational number that we most known.
... is shaped like the middle case form of the Shidinn letter N.

4

... is the smallest positive composite number.
... is the 2nd smallest positive square number.
... is the number of two-digit₁₄^[2] repdigit₁₄^[8] triangular numbers.
... is the largest known positive integer n such that there exists an arithmetic progression with n terms (all positive, indexed 1 through n) satisfying the fact that the number of positive factors each term has is exactly equal to the term's index.
... has a Shidinn letter shaped like it: Shidinn letter 4
... percent is approximately the relative frequency of two-letter Shidinn words among all Shidinn words (not counting legacy spelling).

5

... is the smallest positive odd number that is not a repunit₂^[9] number.
... is the number of Platonic solids.
... is the number of letters in the longest word in Shidinn. There are 278 known five-letter words.
... was the number of members in the Shidinn community administration committee when it started.
... consecutive digits₇^[2] immediately after the point in π are multiples of 3.

6

... is the smallest positive composite number that is not a perfect power.
... is the largest digit₇^[2].
... is the smallest perfect number.
... is the smallest positive integer value of n such that the digits₇^[2] of n are all even, while the digits₇ of n² are all odd.
... is the smallest strobogrammatic_14(za)^{[note 1]} non-negative integer. Note that 0 is not strobogrammatic in this writing system.
... has a Shidinn letter shaped like it: Shidinn letter 6
... , as 3 plus 3, is an honest number^[6] in Shidinn.
... is the smallest positive integer that is not a self-ranked₁₀^[10] number in Shidinn, although it used to be a self-ranked₁₀ number in Shidinn.
... is the number of known Shidinn characters with gematria value of exactly 100000.

7

... is the third smallest repunit₂^[9] number.
... is the smallest positive two-digit₇^[2] number.
... is the second smallest positive 1-automorphic₁₄^[11] number.
... is the numerator of a fractional Friedman₁₄^[12] number: 7/5 = (8-1)/5 ≈ 1 + 5×14^-1 + 8×14^-2
... is the smallest positive strobogrammatic_xdi8 number.
... is the number of classical elements in Shidinn culture. See Seven elements.
... is the unique positive integer n such that "the smallest integer m such that e^m exceeds nⁿ is exactly equal to 2n".
... is the smallest positive non-unity integer n such that there exists a two-digit_n^[2] narcissistic_n^[13] square number.
... is the smallest positive non-unity integer n such that there exists a four-digit_n^[2] repdigit_n^[8] square number.
... is the smallest known positive non-unity integer n such that there exists a three-digit_n^[2] number k=a×n²+b×n+c satisfying that k-1, k and k+1 have a, b and c (i. e. its digits) positive factors respectively.
... , as 5 plus 2, is an honest number^[6] in Shidinn.
... is the number that represents God in western culture.

8

... is the smallest positive composite cube number.
... is the smallest positive composite Fibonacci number.
... is the largest cube in the Fibonacci sequence.
... is the second smallest repunit₇^[9] number.
... is the smallest known repfigit₇^[14] number.
... is the third smallest positive 1-automorphic₁₄^[11] number.
... is the numerator of a "nice" fractional Friedman₁₄^[12] number: 8/5 = 1×8/5 ≈ 1 + 8×14^-1 + 5×14^-2
... is the second positive cubic number.

9

... is the smallest positive odd composite number.
... is the second smallest Smarandache₇^[15] number.
... is the smallest Early Bird₇^[16] number.
... is the smallest positive integer n such that 3ⁿ starts with three identical digits₇^[2].
... is the smallest positive integer n such that nⁿ is pandigital₇^[17].
... is a value for n such that 1/n is a "nice" fractional Friedman₁₄^[12] number: 1/9 = 1^7+10+12/(6+3)
... is a (1)-shifted Friedman₇^[18] number: 9 = 3²
..., as 1¹+2³, is a handsome₇^[19] number.
... is the largest digit in base^[1] 10.
... is shaped like the Extended Shidinn letter pronounced like "thw" as in "thwarted".

10

... is the smallest positive even number n where n-1 is a Fermat pseudoprime_n^[20].
... is the smallest positive integer that is not a Harshad₇^[21] number.
..., as 1¹+3², is a handsome₇^[19] number.
... is a Narcissistic₇^[13] number.
... is a disarium₇^[22] number.
... is the smallest positive integer value of n such that the digits₇^[2] of n are all odd, while the digits₇ of n² are all even.
... is the smallest positive non-palindromic₇^[23] integer whose square is palindromic₇.
... is the number of digits₇^[2] after the point to be scanned^[5] in order to get all seven digits₇ from π.
... is the unique positive integer that comes between ${\sqrt {7\times 14}}$ and ${\frac {7+14}{2}}$ .
... is a strobogrammatic_xdi8 number.
... is the number of current members in the Shidinn community administration committee.

11

... is the smallest positive odd prime number that is not palindromic₂^[23].
... is the smallest Honaker₇^[24] prime.
... is a prime factor of the tenth smallest repunit₇^[9] number.
... is the smaller prime factor of the fifth smallest repunit₁₄^[9] number.
... is a value for n such that 1/n is a "nice" fractional Friedman₁₄^[12] number: 1/11 = 1³⁺¹¹/(6+5)

12

... is the smallest abundant number.
... is the number of two-digit₇^[2] prime numbers.
... is the only non-palindromic₇^[23] two-digit₇^[2] number that divides its reversal₇^[25].
... is the only two-digit₇ composite number that has a smaller multiset of prime factors^[26] than its reversal₇ does. (citation needed)
... is a "nice" (1)-shifted Friedman₇^[18] number: 12 = 2×6
... is the smallest known positive non-unity integer n such that there exists a five-digit_n^[2] number k=a×n⁴+b×n³+c×n²+d×n+f satisfying that k-2, k-1, k, k+1 and k+2 have a, b, c, d and f (i. e. its digits) positive factors respectively. More surprisingly, that number is a repdigit₁₂^[8] number.
... is the smallest true composite number.

13

... is the number of Archimedean solids.
... is the largest digit₁₄^[2].
... is the third smallest repunit₃^[9] number.
... is an RDI₇^[4] of order 2.
... is the smallest positive odd Fibonacci number that is not palindromic₂^[23].
... is a prime factor of the 12th smallest repunit₇^[9] number.
... is a prime factor of the 13th smallest repunit₁₄^[9] number.
... is the number that represents Devil in western culture.

14

... is the smallest positive two-digit₁₄^[2] number.
... is the smallest positive semiprime that is not a brilliant₇^[27] number.
... is the smallest two-digit₇^[2] "kind₇"^[28] number.
... is the smallest integer n such that eⁿ exceeds 7⁷.
... is the largest known positive non-unity integer n such that an n-digit_n^[2] pandigital_n^[17] "magic"_n^[29] number exists.
... is the index of the nasal sibilant in the Shidinn alphabet.

15

... is the smallest positive odd composite number that is not a perfect power.
... is the second smallest repunit₁₄^[9] number.
... is the number of two-digit₁₄^[2] triangular numbers.
... is the smallest Fermat pseudoprime₁₄^[20].

16

... is the second smallest positive tesseractic number.
... is the smallest positive integer with five positive factors.
... is a repdigit₇^[8] number.
... is a "nice" (2)-shifted Friedman₇^[18] number: 16 = 4×4
... is the second smallest Smarandache₁₄^[15] number.
... is the smallest positive composite number whose reversal₁₄^[25] is prime.

17

... is a Fermat prime.
... is the smallest prime number that is the concatenation₇^[30] of two prime numbers.

18

... is the only known Canada₇^[31] number.
... is the smallest two-digit₁₄^[2] number in the Fibonacci-like sequence starting with 2 and 1.

19

... is the smallest positive odd prime number whose reversal₂^[25] is composite.

20

... is the smallest positive integer n such that 2ⁿ is pandigital₇^[17].
... is the smallest positive non-repdigit₇ integer whose square is repdigit₇^[8].
... is the smallest positive non-palindromic₇^[23] integer whose tesseractic is palindromic₇.
... is the integer that caused an "e-mail war" between Shidinn enthusiasts on February 24, 2025.

21

... is the sum of all the one-digit₇^[2] numbers. It is also the numbers of dots on the dice used in most of the board games.
... is the third smallest repunit₄^[9] number.
... is the smallest positive odd semiprime that is not a brilliant₇^[27] number.
... is the third smallest^{[lɤ ɛyuə iq8 q6]} positive integer whose tesseractic is a happy₁₄^[32] number.

22

... is the smallest positive integer n whose square "ends with the digit₇^[2] it starts with, but is not palindromic₇^[23]".
... has a square root with a seven-digit₇^[2] string of copies of "4" and "5" immediately after the point.

23

... is the smallest positive odd prime number that is not a twin prime.
... is the smaller prime factor of 2047, the smallest Mersenne composite number.
... is the smallest two-digit₁₄^[2] prime number n such that 210-n is composite.
... is the smallest positive integer n such that 2ⁿ starts in two identical digits₁₄^[2].
... is a prime factor of the seventh smallest Smarandache₁₄^[15] number.

24

... is the smallest positive integer n such that 2ⁿ ends in three identical digits₇^[2].
... is the minimum difference between two distinct positive prime numbers that can be expressed as 8 times a square number plus 27 times a square number. This property of prime numbers was mentioned by a Shidinn enthusiast as an "unfortunate" property.

25

... is a narcissistic₇^[13] number.
... is an RDI₁₄^[4] of order 2.
... is the smallest Fermat pseudoprime₇^[20].
... is the smallest positive integer n such that 2ⁿ starts in three identical digits₇^[2] and ends in three identical digits₇.

26

... is the median of all two-digit₇^[2] prime numbers.
... is the smallest positive integer n whose digit₇^[2] median is an integer that doesn't divide n.

27

... is the second smallest composite Smith₇^[33] number.
... is the only known two-digit₇ composite Smith₇^[33] number.
... appears in an example of Anomalous Cancellation^[34] of digits₁₄: 27/189=1/7
... is the smallest non-unity positive integer n whose set of prime divisors^[26] is a proper subset of its set of digits₇^[2].

28

... is the smallest positive triangular number whose first digit₁₄^[2] is larger than its last digit₁₄.
... has the property that if each digit₇^[2] is replaced by its factorial, the resulting number is square.

29

... is the smallest positive odd prime number whose reversal₁₄^[25] is composite.
... is the number of distinct 3D pentominoes, if mirror reflections are considered different. Note that xp0_1$71 is symmetric.
... is the smaller prime factor of the seventh smallest repunit₇^[9] number. The unicode character whose ID is the seventh smallest repunit₇ number can be written in Shidinn as Ɐko.
... has the property that if each digit₇^[2] is replaced by its factorial, the resulting number is square.
... is the second smallest two-digit₁₄^[2] number in the Fibonacci-like sequence starting with 2 and 1.
... is a repfigit₁₄^[14] number.

30

... is a repdigit₁₄^[8] number.
... is the number of two-digit₇^[2] composite numbers.
... is a strobogrammatic_xdi8 number.

31

... is a Mersenne prime.
... is the smallest positive odd prime number whose reversal₇^[25] is composite.
... is the unique two-digit₇^[2] prime number whose reversal₇^[25] is composite.
... is the smallest prime number that is the concatenation₁₄^[30] of two prime numbers.
..., as 2²+3³, is a handsome₁₄^[19] number.
... is the "home prime"₁₄^[35] reached from 6.
... is the smallest positive integer whose tesseractic has 8 digits₇^[2].
... is the smallest positive integer whose tesseractic is pandigital₇^[17].
... is the third smallest repunit₅^[9] number.

32

... is a repdigit₇^[8] number.
... is a narcissistic₇^[13] number.
... is the second smallest positive hyperhypercube number.

33

..., as 2³+5², is a handsome₁₄^[19] number.

34

... is the smallest positive semiprime that is not a brilliant₁₄^[27] number.
... has the property that if each digit₇^[2] is replaced by its square, the resulting number is a triangular number.
... has the property that if each digit₁₄^[2] is replaced by its square, the resulting number is a triangular number.
... is the smallest known number in a Friedman₁₄ loop^[18]:

2⁶=64

8⁴=4096

6×(12×8-1)=570

2×12+10=34

35

... has the property that if each digit₇^[2] is replaced by its factorial, the resulting number is square.
... is in a Friedman₁₄ loop^[18]:

7³=343

(1+10)×7=77

5×7=35

7²=49

36

... has the property that if each digit₇^[2] is replaced by its factorial, the resulting number is square.
... is a "nice" (1)-shifted Friedman₇^[18] number: 36 = 6²

37

... is an RDI₁₄^[4] of order 2.
... is a prime factor of the ninth smallest repunit₇^[9] number.
... is a prime factor of the twelfth smallest repunit₁₄^[9] number.

38

... is the number of two-digit₁₄^[2] prime numbers.

39

... is the smallest non-palindromic₁₄^[23] two-digit₁₄^[2] number that divides its reversal₁₄^[25].

40

... is the smallest positive integer n such that the set {15^k|k∈N} has no n-digit₁₄^[2] member.
... is in a Friedman₁₄ pair^[18]:

12²=144

4×10=40

41

... is the sum of all the one-digit₁₄^[2] prime numbers.
... is one of four possible values of a two-digit₁₄^[2] prime number n such that 210-n is composite.
... is a prime factor of the eighth smallest repunit₁₄^[9] number.
... is a value for n such that 1/n is a "nice" fractional Friedman₁₄^[12] number: 1/41 = 0 + 4/(10 + 181 - 9×3×1)
... is the vertical stroke in Shidinn chat alphabet.

42

... has the property that if each digit₇^[2] is replaced by its factorial, the resulting number is square.
... is the number of U. S. states in the fictional Shidinn timeline.
... is the number that was been thought as the truth of the universe.
... is the number of years between Jay Chou's date of birth and the creation of this wiki. Jay Chou and Shidinn Wiki have the same birthday. (This entry was added by Translated ORK, making it questionable.)
... is the word for "two" (Unicode decimal 20108) in Shidinn chat alphabet.

43

... is the third smallest repunit₆^[9] number.
... is the first two digits₁₄^[2] of pi, i. e. floor(14×π).
... is the largest prime factor of the sixth smallest repunit₇^[9] number.
... has the property that if each digit₇^[2] is replaced by its square, the resulting number is a triangular number.
... has the property that if each digit₇^[2] is replaced by its factorial, the resulting number is square.

44

45

... is the number of letters in the Shidinn alphabet.
... is a narcissistic₇^[13] number.
... is the third smallest^{[lɤ ɛyuə iq8 q6]} positive integer whose tesseractic is a happy₇^[32] number.

46

... is the smallest Canada₁₄^[31] number.
... is equal to the rebasing_7→10^[36] of its own reversal₇^[25]. It is also the arithmetic square root of another integer with the same property.
... is the word for "prostrate" (Unicode decimal 20239) in Shidinn chat alphabet.

47

... is the largest two-digit₇^[2] prime number.
... is the largest positive integer such that every number resulting from removing some (or none) of its trailing digits₂ is either 0, 1, or a prime number. (OEIS A165802) This fact is mentioned on the website given below.
... is the representative prime number of User:Rachel1211.
... is the smallest positive prime number with digit₁₄^[2] median 4.
... is the smallest positive integer whose tesseractic has the last 3 digits₇^[2] the same as the three digits₇ before that.
... is a value for n such that the tesseractic of n can be written as the reversal₇^[25] of n concatenated₇^[30] with two identical three-digit₇ strings.
... is featured on this website. You can submit entries there.

48

... is the largest two-digit₇^[2] number.
... is the word for "kindness" (Unicode decimal 24681) in Shidinn chat alphabet.

49

... is the smallest three-digit₇^[2] number.
... is the sum of all the one-digit₁₄^[2] composite numbers.
... is the smallest positive composite number whose prime indices are all composite.

50

... is the smallest positive palindromic₇^[23] number that is not repdigit₇^[8].
... is the smallest Cyclops₇^[37] number.

51

... is the smallest Cyclops₇^[37] number that is not palindromic₇^[23].
... is the smallest positive odd semiprime that is not a brilliant₁₄^[27] number.

52

... is the word for "offer" (Unicode decimal 29486) in Shidinn chat alphabet.

53

... is the smallest three-digit₇^[2] prime number.
... is the number of three-digit₇^[2] prime numbers.
... is the smallest positive prime number that is not alternating₇^[38].
... is the smallest positive prime number with digit₇ median 1.
... is the smallest Cyclops₇^[37] prime number.
... is the word for "heart" (Unicode decimal 24515) in Shidinn chat alphabet.

54

... is the smallest three-digit₇^[2] abundant number.
... is the smallest Cyclops₇^[37] number n such that the nth prime number is also a Cyclops₇ number.

55

... is the second smallest positive integer that is both square pyramidal and triangular, as mentioned by a Shidinn enthusiast.

56

... is the largest two-digit_7ans^[39] number.
... is the number of Hanzi characters in the Firefly poem.

57

... is the third smallest repunit₇^[9] number.
... is the smallest three-digit_7ans^[39] number.
... is the smallest positive odd composite number whose digits₇^[2] are all odd.
... has the property that if each digit₁₄^[2] is replaced by its square, the resulting number is square.
... is the number of distinct symbols in the standard "Spot it" pack, with 8 symbols on each card. (See 73)

58

59

... is the smallest three-digit₇^[2] twin prime.
... is the smallest positive prime number with digit₇ mode 1.
... is a prime factor of the sixth smallest Smarandache₁₄^[15] number.
... is the smallest prime number that can be expressed as 8 times a square number plus 27 times a square number. This property of prime numbers was mentioned by a Shidinn enthusiast as an "unfortunate" property.

60

61

... is a prime factor of the sixth smallest repunit₁₄^[9] number.

62

63

64

65

..., as 4×14+9, is a Cyclic₁₄ number^[7], according to Wolfram Mathworld.

66

... is the third smallest Smarandache₇^[15] number.
... is the third smallest positive triangular number whose digits₁₄^[2] are all semiprime.

67

... is the smallest positive integer n such that 2ⁿ is the concatenation₁₄^[30] of n and another integer.
... is the second smallest positive integer whose square is a Cyclops₇^[37] number.
... is one of four possible values of a two-digit₁₄^[2] prime number n such that 210-n is composite.
... is a prime factor of the eleventh smallest repunit₁₄^[9] number.

68

69

70

... has the property that if each digit₇^[2] is replaced by its square, the resulting number is a triangular number.

71

... is the largest known positive integer whose square can be written as one plus the factorial of another positive integer.
... is the smallest positive palindromic₇^[23] prime number that is not repdigit₇^[8].
... has the property that if each digit₁₄^[2] is replaced by its square, the resulting number is a triangular number.
... is a prime factor of the tenth smallest repunit₁₄^[9] number.
... is featured on this website. You can submit entries there.

72

... is the smallest positive integer that is not a perfect power but can be written as the product of perfect powers.
... is the third smallest positive integer whose square is a Cyclops₇^[37] number.

73

... is the third smallest repunit₈^[9] number.
... is the smallest positive twin prime number such that none of the next three prime numbers is twin prime.
... is the third smallest positive integer that is both palindromic₂^[23] and palindromic_b3^[40].
... is the second smallest positive integer that is the sum of three different positive cubic numbers.
... is the sum of the cubes of the three smallest positive palindromic₃^[23] numbers.
... is the sum of the aliquot parts^[26] of the smallest three-digit₇^[2] number not containing a digit₇ "1".
... is the smallest positive prime number with digit₇ mode 3.
... is the smallest non-palindromic₇^[23] positive prime number that ends with two identical digits₇^[2].
... is the smallest positive integer n that is equal to the result of removing the digit₇ "0" from the nth positive prime number.
... is a prime factor of the seventh smallest Smarandache₁₄^[15] number.
... is the number of cards in the Seven elements poker game. The pack has 7 suits of 10 cards each, along with three extra cards (INF, 7UT and blank).
... is the theoretical number of distinct symbols in "Spot it" variant, with 9 symbols (instead of 8) on each card.
... is a number worshipped in Shidinn culture.
... is featured on this website. You can submit entries there.

74

75

76

... is the sum of the first three Smarandache₇^[15] numbers.

77

... is the smallest positive integer n such that 15ⁿ has (n+3) digits₁₄^[2].

78

... is the second smallest Canada₁₄^[31] number.

79

80

... , as 3⁴-1, is a Friedman₇^[41] number.

81

... is the third smallest positive tesseractic number.
... is in the username of User:DGCK81LNN.

82

... has a square root with a string of eleven even digits₇^[2]immediately after the point.
... is a strobogrammatic_xdi8 number.

83

... is the smallest positive prime number with digit₇ median 4.
... is the smallest positive prime number with digit₁₄^[2] median 9.

84

85

... is the largest known index of a square pyramidal number that is also triangular. Its index in the triangular sequence is 645.
... is the smallest positive palindromic₇^[23] semiprime that is not repdigit₇^[8].
... is the prime index of the "home prime"₁₄^[35] reached from 4.
... has the property that if each digit₁₄^[2] is replaced by its cube, the resulting number is square.

86

87

88

89

... is the smallest positive prime number with digit₇ mode 5.
... is one of four possible values of a two-digit₁₄^[2] prime number n such that 210-n is composite.
... is the total number of letters in the Shidinn alphabet and the Extended Shidinn alphabet, including the "number zero" letter.

90

91

... is the sum of all the one-digit₁₄^[2] numbers.
... is the third smallest repunit₉^[9] number.
... has the property that if each digit₇^[2] is replaced by its square, the resulting number is a triangular number.
... is the third smallest positive integer that is both square pyramidal and triangular, as mentioned by a Shidinn enthusiast.

92

93

94

95

96

97

... is the smallest positive prime number with digit₇ median 6.
... is the smallest positive prime number with digit₇ mode 6.
... has the property that if each digit₁₄^[2] is replaced by its square, the resulting number is square.
... is the last prime number that 10 ≤ x ≤ 99.

98

99

... is the median of all two-digit₁₄^[2] prime numbers.

100

... is the smallest positive Cyclops₇^[37] square number.
... is the smallest 2-digit₁₀₀ number.

101

... is the second smallest Cyclops₇^[37] prime number.
... is a prime factor of the tenth smallest repunit₁₄^[9] number.

102

103

... is the third smallest Cyclops₇^[37] prime number.
... is the smallest positive prime number with digit₁₄^[2] median 6.

104

105

106

107

... is the smallest positive prime number with digit₇ mode 2.
... is the sum of all the two-digit₇ "non-twin" prime numbers.
... is the smallest positive prime number with digit₁₄^[2] median 8.

108

109

... is a prime factor of the 13th smallest Smarandache₁₄^[15] number.

110

... is the smallest positive integer n such that 2ⁿ is pandigital₁₄^[17].

111

112

113

... is a prime factor of the 14th smallest repunit₇^[9] number.

114

... is the number that is CURRENTLY thought as the truth of the universe.

115

116

117

118

119

... is the smallest brilliant₇^[27] number with four distinct digits₇ in its set of prime factors. (citation needed)

120

121

122

... is the smallest positive integer n such that 2ⁿ starts with two identical digits₁₄^[2] followed immediately by two identical digits₁₄.

123

124

125

126

127

... is a Mersenne prime.
... is the smallest Mersenne prime that is "emirp₇"^[3].
... has the property that if each digit₇^[2] is replaced by its square, the resulting number is a triangular number.
... is a number worshipped in Shidinn culture.^{[lɤ ɛyuə iq8 q6]}

128

... is a handsome₇^[19] number. So are the eleven following integers.

129

130

131

132

... is the smallest positive integer n such that the nth Fibonacci number is pandigital₁₄^[17].^{[citation needed]}

133

134

135

136

... is the second smallest triangular number whose digits₇^[2] are all prime. The smallest is 3.
... is the smallest positive triangular number containing an odd semiprime digit₁₄ and an even semiprime digit₁₄.
... is the smallest three-digit₁₀ triangular number such that every number resulting from removing some (or none) of its leading digits₁₀ is either 0 or a triangular number. (observed by User:List of deleted users)
This property is preserved in tetradecimal as well, except that it is now a two-digit₁₄ number.
... is the index (in Infinite Song List) of the song whose original title is a result from spelling the word for "relics" backwards in the Japanese syllabary.
... is the number of standard "Mahjong" tiles, excluding the seasons and plants.

137

... is the smallest positive prime number with digit₁₄^[2] median 10.

138

139

140

141

142

143

144

... is the smallest xenodromic₇^[42] three-digit₇ square number.
... is a square number such that moving the first digit₇ to the last gives a larger square number.

145

146

147

148

149

... is the fourth smallest Cyclops₇^[37] prime number.
... is the smallest prime number whose digits₁₄^[2] are all composite.

150

151

152

153

154

... is the smallest sphenic^[43] number whose prime factors all end in an even digit₇.

155

156

157

... is a prime factor of the 13th smallest repunit₁₄^[9] number.

158

159

160

161

162

163

164

165

166

167

... is the smallest positive prime number with digit₁₄^[2] median 12.

168

... has the property that if each digit₁₄^[2] is replaced by its square, the resulting number is a triangular number.

169

170

171

... is the third smallest triangular number whose digits₇^[2] are all prime.
... is the fourth smallest positive repdigit₇^[8] triangular number.
... is the smallest positive triangular number whose first digit₁₄^[2] is larger than its last non-zero digit₁₄.
... is the sum of all positive factors of the smallest three-digit₇^[2] number not containing a digit₇ "1".

172

173

174

175

176

177

178

179

... is the smallest positive prime number with digit₇^[2] mode 4.

180

... is the smallest positive integer n such that n² starts in two identical digits₁₄^[2] and ends in two identical digits₁₄.

181

... is a prime factor of the 12th smallest repunit₇^[9] number.

182

... is the number of Shidinn letters in the Firefly poem.

183

184

185

186

187

188

189

190

191

... is a prime factor of the tenth smallest repunit₇^[9] number.

192

193

... is the largest two-digit₁₄^[2] prime number.
... is a prime factor of the twelfth smallest Smarandache₁₄^[15] number.

194

195

... is the largest two-digit₁₄^[2] number.

196

... is the smallest three-digit₁₄^[2] number.

197

... is the smallest three-digit₁₄^[2] prime number.
... is the smallest positive palindromic₁₄^[23] number that is not repdigit₁₄^[8].
... is the smallest positive palindromic₁₄^[23] prime number that is not repdigit₁₄^[8].
... is the smallest Cyclops₁₄^[37] number.
... is the smallest Cyclops₁₄^[37] prime number.
... is the smallest positive prime number with digit₁₄^[2] median 1.
... is the smallest positive prime number with digit₁₄^[2] mode 1.

198

... is the smallest Cyclops₁₄^[37] number that is not palindromic₁₄^[23].
... is the smallest composite Cyclops₁₄^[37] number.

199

200

201

... is the smallest three-digit₁₄^[2] squarefree^[44] composite number.

202

203

204

205

206

207

208

209

210

211

... is the third smallest repunit₁₄^[9] number.
... is the smallest repunit₁₄^[9] prime number.

212

213

214

215

216

217

218

219

220

221

222

223

224

225

... is the second smallest three-digit₁₄^[2] square number.

226

227

... is the third smallest Smarandache₁₄^[15] number, as well as the smallest Smarandache₁₄ prime number.
... is the second smallest prime number that can be expressed as 8 times a square number plus 27 times a square number. This property of prime numbers was mentioned by a Shidinn enthusiast as an "unfortunate" property.

228

229

230

231

232

233

234

235

236

237

238

239

240

... is the smallest positive integer n such that 2ⁿ starts in two identical digits₁₄^[2] and ends in two identical digits₁₄.

241

242

243

244

245

246

247

248

249

250

251

252

253

... is the smallest positive palindromic₁₄^[23] triangular number that is not repdigit₁₄^[8].

254

255

... is the smallest sphenic^[43] number whose prime factors all end in an odd digit₇.

256

257

... has the property that if each digit₇^[2] is replaced by its square, the resulting number is square.

258

259

260

261

262

263

264

265

266

267

268

269

270

271

272

273

274

275

276

277

278

279

280

281

282

283

284

285

286

287

288

289

290

291

292

293

294

295

296

297

298

299

300

Notes

↑ ^1.0 ^1.1 In Zbalermorna Abjad numerical system, ignoring the "li" and the "ju'u pavo lo'o".

References

↑ ^1.0 ^1.1 Base on Wolfram Mathwold⁽¹⁾
↑ ^2.000 ^2.001 ^2.002 ^2.003 ^2.004 ^2.005 ^2.006 ^2.007 ^2.008 ^2.009 ^2.010 ^2.011 ^2.012 ^2.013 ^2.014 ^2.015 ^2.016 ^2.017 ^2.018 ^2.019 ^2.020 ^2.021 ^2.022 ^2.023 ^2.024 ^2.025 ^2.026 ^2.027 ^2.028 ^2.029 ^2.030 ^2.031 ^2.032 ^2.033 ^2.034 ^2.035 ^2.036 ^2.037 ^2.038 ^2.039 ^2.040 ^2.041 ^2.042 ^2.043 ^2.044 ^2.045 ^2.046 ^2.047 ^2.048 ^2.049 ^2.050 ^2.051 ^2.052 ^2.053 ^2.054 ^2.055 ^2.056 ^2.057 ^2.058 ^2.059 ^2.060 ^2.061 ^2.062 ^2.063 ^2.064 ^2.065 ^2.066 ^2.067 ^2.068 ^2.069 ^2.070 ^2.071 ^2.072 ^2.073 ^2.074 ^2.075 ^2.076 ^2.077 ^2.078 ^2.079 ^2.080 ^2.081 ^2.082 ^2.083 ^2.084 ^2.085 ^2.086 ^2.087 ^2.088 ^2.089 ^2.090 ^2.091 ^2.092 ^2.093 ^2.094 ^2.095 ^2.096 ^2.097 ^2.098 ^2.099 ^2.100 ^2.101 ^2.102 ^2.103 ^2.104 ^2.105 Digit on Wolfram Mathworld
↑ ^3.0 ^3.1 ^3.2 emirP on OEIS
•emirP on NUMBERSAPLENTY
↑ ^4.0 ^4.1 ^4.2 ^4.3 Recurring digial invariant on Wolfram Mathworld
↑ ^5.0 ^5.1 Constant digit scanning on Wolfram Mathworld
↑ ^6.0 ^6.1 ^6.2 Honest mumber
↑ ^7.0 ^7.1
Cyclic number on Wolfram Mathworld
Full Reptend Prime on Wolfram Mathworld
↑ ^8.00 ^8.01 ^8.02 ^8.03 ^8.04 ^8.05 ^8.06 ^8.07 ^8.08 ^8.09 ^8.10 ^8.11 ^8.12 ^8.13 Repdigit on Wolfram Mathworld
•Repdigit on NUMBERSAPLENTY
↑ ^9.00 ^9.01 ^9.02 ^9.03 ^9.04 ^9.05 ^9.06 ^9.07 ^9.08 ^9.09 ^9.10 ^9.11 ^9.12 ^9.13 ^9.14 ^9.15 ^9.16 ^9.17 ^9.18 ^9.19 ^9.20 ^9.21 ^9.22 ^9.23 ^9.24 ^9.25 ^9.26 ^9.27 ^9.28 ^9.29 Repunit on Wolfram Mathworld
•Repunit on NUMBERSAPLENTY
↑ Self-ranked number on OEIS
↑ ^11.0 ^11.1 Automorphic number on Wolfram Mathworld
•Automorphic number on NUMBERSAPLENTY
↑ ^12.0 ^12.1 ^12.2 ^12.3 ^12.4 Fractional Friedman numbers, Redundant Friedman numbers, Almost Friedman numbers, Non-integral Friedman numbers
↑ ^13.0 ^13.1 ^13.2 ^13.3 ^13.4 Narcissistic number on Wolfram Mathworld
•Narcissistic number on NUMBERSAPLENTY
↑ ^14.0 ^14.1 Repfigit on Wolfram Mathworld
•Repfigit on NUMBERSAPLENTY
↑ ^15.00 ^15.01 ^15.02 ^15.03 ^15.04 ^15.05 ^15.06 ^15.07 ^15.08 ^15.09 Smarandache number on Wolfram Mathworld
↑ Early bird number on OEIS
↑ ^17.0 ^17.1 ^17.2 ^17.3 ^17.4 ^17.5 Pandigital on Wolfram Mathworld
•Pandigital on NUMBERSAPLENTY
↑ ^18.0 ^18.1 ^18.2 ^18.3 ^18.4 ^18.5 ^18.6 Anti-Friedman number, Shifted Friedman number, Friedman pair, Friedman loop
↑ ^19.0 ^19.1 ^19.2 ^19.3 ^19.4 Handsome number on OEIS
•Handsome number on NUMBERSAPLENTY
↑ ^20.0 ^20.1 ^20.2 Fermat pseudoprime on Wolfram Mathworld. Note: Numbers that share a prime factor with the base is usually not taken into consideration unless otherwise noted.
↑ Harshad number on Wolfram Mathworld
•Harshad number on NUMBERSAPLENTY
↑ Disarium number on OEIS
↑ ^23.00 ^23.01 ^23.02 ^23.03 ^23.04 ^23.05 ^23.06 ^23.07 ^23.08 ^23.09 ^23.10 ^23.11 ^23.12 ^23.13 ^23.14 ^23.15 ^23.16 ^23.17 Palindromic on Wolfram Mathworld
•Palindromic on NUMBERSAPLENTY
↑ Honaker prime on NUMBERSAPLENTY
↑ ^25.0 ^25.1 ^25.2 ^25.3 ^25.4 ^25.5 ^25.6 ^25.7 ^25.8 Reversal on Wolfram Mathworld
↑ ^26.0 ^26.1 ^26.2 Divisors, aliquot parts, prime factors, prime divisors, ω, Ω, mod on OEIS Wiki⁽¹⁾
↑ ^27.0 ^27.1 ^27.2 ^27.3 ^27.4 Brilliant number on OEIS
•Brilliant number on NUMBERSAPLENTY
↑ "Kind" number on OEIS
↑ "Magic" number on OEIS
↑ ^30.0 ^30.1 ^30.2 ^30.3 Concatenation on Wolfram Mathworld
↑ ^31.0 ^31.1 ^31.2 Canada number on NUMBERSAPLENTY
↑ ^32.0 ^32.1 Happy number on Wolfram Mathworld
•Happy number on NUMBERSAPLENTY
↑ ^33.0 ^33.1 Smith number on Wolfram Mathworld
•Smith number on NUMBERSAPLENTY
↑ Anomalous Cancellation on Wolfram Mathworld
↑ ^35.0 ^35.1 Home prime on Wolfram Mathworld
↑ Rebasing on OEIS Wiki
↑ ^37.00 ^37.01 ^37.02 ^37.03 ^37.04 ^37.05 ^37.06 ^37.07 ^37.08 ^37.09 ^37.10 ^37.11 ^37.12 ^37.13 Cyclops number on OEIS
↑ Alternating number on NUMBERSAPLENTY
↑ ^39.0 ^39.1 Bijective integer bases from The Wayback Machine via Google
↑ Balanced ternary on Simple Wikipedia
↑ Friedman numbers, Nice Friedman numbers
•Friedman numbers on NUMBERSAPLENTY
↑ Xenodromes on OEIS
↑ ^43.0 ^43.1 Sphenic number on NUMBERSAPLENTY⁽¹⁾
↑ Squarefree number on Wolfram Mathworld⁽¹⁾

⁽¹⁾Not a base-specific digit-related property

External links

Numbers on Archimedes Lab
Friedman's number property list - unfortunately, it lists only one property per number.
NUMBERSAPLENTY (unstable)

[za14-4] 1.0 ^1.1 In Zbalermorna Abjad numerical system, ignoring the "li" and the "ju'u pavo lo'o".

[base-1] 1.0 ^1.1 Base on Wolfram Mathwold⁽¹⁾

[digit-2] 2.000 ^2.001 ^2.002 ^2.003 ^2.004 ^2.005 ^2.006 ^2.007 ^2.008 ^2.009 ^2.010 ^2.011 ^2.012 ^2.013 ^2.014 ^2.015 ^2.016 ^2.017 ^2.018 ^2.019 ^2.020 ^2.021 ^2.022 ^2.023 ^2.024 ^2.025 ^2.026 ^2.027 ^2.028 ^2.029 ^2.030 ^2.031 ^2.032 ^2.033 ^2.034 ^2.035 ^2.036 ^2.037 ^2.038 ^2.039 ^2.040 ^2.041 ^2.042 ^2.043 ^2.044 ^2.045 ^2.046 ^2.047 ^2.048 ^2.049 ^2.050 ^2.051 ^2.052 ^2.053 ^2.054 ^2.055 ^2.056 ^2.057 ^2.058 ^2.059 ^2.060 ^2.061 ^2.062 ^2.063 ^2.064 ^2.065 ^2.066 ^2.067 ^2.068 ^2.069 ^2.070 ^2.071 ^2.072 ^2.073 ^2.074 ^2.075 ^2.076 ^2.077 ^2.078 ^2.079 ^2.080 ^2.081 ^2.082 ^2.083 ^2.084 ^2.085 ^2.086 ^2.087 ^2.088 ^2.089 ^2.090 ^2.091 ^2.092 ^2.093 ^2.094 ^2.095 ^2.096 ^2.097 ^2.098 ^2.099 ^2.100 ^2.101 ^2.102 ^2.103 ^2.104 ^2.105 Digit on Wolfram Mathworld

[emirp-3] 3.0 ^3.1 ^3.2 emirP on OEIS
•emirP on NUMBERSAPLENTY

[rdi-5] 4.0 ^4.1 ^4.2 ^4.3 Recurring digial invariant on Wolfram Mathworld

[constantdigitscanning-6] 5.0 ^5.1 Constant digit scanning on Wolfram Mathworld

[honest-7] 6.0 ^6.1 ^6.2 Honest mumber

[frp-8] 7.0 ^7.1
Cyclic number on Wolfram Mathworld
Full Reptend Prime on Wolfram Mathworld

[repdigit-9] 8.00 ^8.01 ^8.02 ^8.03 ^8.04 ^8.05 ^8.06 ^8.07 ^8.08 ^8.09 ^8.10 ^8.11 ^8.12 ^8.13 Repdigit on Wolfram Mathworld
•Repdigit on NUMBERSAPLENTY

[repunit-10] 9.00 ^9.01 ^9.02 ^9.03 ^9.04 ^9.05 ^9.06 ^9.07 ^9.08 ^9.09 ^9.10 ^9.11 ^9.12 ^9.13 ^9.14 ^9.15 ^9.16 ^9.17 ^9.18 ^9.19 ^9.20 ^9.21 ^9.22 ^9.23 ^9.24 ^9.25 ^9.26 ^9.27 ^9.28 ^9.29 Repunit on Wolfram Mathworld
•Repunit on NUMBERSAPLENTY

[a108968-11] Self-ranked number on OEIS

[automorphic-12] 11.0 ^11.1 Automorphic number on Wolfram Mathworld
•Automorphic number on NUMBERSAPLENTY

[almostfriedman-13] 12.0 ^12.1 ^12.2 ^12.3 ^12.4 Fractional Friedman numbers, Redundant Friedman numbers, Almost Friedman numbers, Non-integral Friedman numbers

[narcissistic-14] 13.0 ^13.1 ^13.2 ^13.3 ^13.4 Narcissistic number on Wolfram Mathworld
•Narcissistic number on NUMBERSAPLENTY

[repfigit-15] 14.0 ^14.1 Repfigit on Wolfram Mathworld
•Repfigit on NUMBERSAPLENTY

[smarandache-16] 15.00 ^15.01 ^15.02 ^15.03 ^15.04 ^15.05 ^15.06 ^15.07 ^15.08 ^15.09 Smarandache number on Wolfram Mathworld

[a116700-17] Early bird number on OEIS

[pandigital-18] 17.0 ^17.1 ^17.2 ^17.3 ^17.4 ^17.5 Pandigital on Wolfram Mathworld
•Pandigital on NUMBERSAPLENTY

[friedmanpair-19] 18.0 ^18.1 ^18.2 ^18.3 ^18.4 ^18.5 ^18.6 Anti-Friedman number, Shifted Friedman number, Friedman pair, Friedman loop

[handsome-20] 19.0 ^19.1 ^19.2 ^19.3 ^19.4 Handsome number on OEIS
•Handsome number on NUMBERSAPLENTY

[psp-21] 20.0 ^20.1 ^20.2 Fermat pseudoprime on Wolfram Mathworld. Note: Numbers that share a prime factor with the base is usually not taken into consideration unless otherwise noted.

[harshad-22] Harshad number on Wolfram Mathworld
•Harshad number on NUMBERSAPLENTY

[disarium-23] Disarium number on OEIS

[palindromic-24] 23.00 ^23.01 ^23.02 ^23.03 ^23.04 ^23.05 ^23.06 ^23.07 ^23.08 ^23.09 ^23.10 ^23.11 ^23.12 ^23.13 ^23.14 ^23.15 ^23.16 ^23.17 Palindromic on Wolfram Mathworld
•Palindromic on NUMBERSAPLENTY

[honaker-25] Honaker prime on NUMBERSAPLENTY

[reversal-26] 25.0 ^25.1 ^25.2 ^25.3 ^25.4 ^25.5 ^25.6 ^25.7 ^25.8 Reversal on Wolfram Mathworld

[technical-27] 26.0 ^26.1 ^26.2 Divisors, aliquot parts, prime factors, prime divisors, ω, Ω, mod on OEIS Wiki⁽¹⁾

[brilliant-28] 27.0 ^27.1 ^27.2 ^27.3 ^27.4 Brilliant number on OEIS
•Brilliant number on NUMBERSAPLENTY

[a185186-29] "Kind" number on OEIS

[a144688-30] "Magic" number on OEIS

[concatenation-31] 30.0 ^30.1 ^30.2 ^30.3 Concatenation on Wolfram Mathworld

[canada-32] 31.0 ^31.1 ^31.2 Canada number on NUMBERSAPLENTY

[happy-33] 32.0 ^32.1 Happy number on Wolfram Mathworld
•Happy number on NUMBERSAPLENTY

[smith-34] 33.0 ^33.1 Smith number on Wolfram Mathworld
•Smith number on NUMBERSAPLENTY

[anomalouscancellation-35] Anomalous Cancellation on Wolfram Mathworld

[homeprime-36] 35.0 ^35.1 Home prime on Wolfram Mathworld

[rebasing-37] Rebasing on OEIS Wiki

[cyclops-38] 37.00 ^37.01 ^37.02 ^37.03 ^37.04 ^37.05 ^37.06 ^37.07 ^37.08 ^37.09 ^37.10 ^37.11 ^37.12 ^37.13 Cyclops number on OEIS

[alternating-39] Alternating number on NUMBERSAPLENTY

[ans-40] 39.0 ^39.1 Bijective integer bases from The Wayback Machine via Google

[balancedternary-41] Balanced ternary on Simple Wikipedia

[friedman-42] Friedman numbers, Nice Friedman numbers
•Friedman numbers on NUMBERSAPLENTY

[xenodromic-43] Xenodromes on OEIS

[sphenic-44] 43.0 ^43.1 Sphenic number on NUMBERSAPLENTY⁽¹⁾

[squarefree-45] Squarefree number on Wolfram Mathworld⁽¹⁾

[1]

[2]

[3]

[note 1]

[4]

[5]

[6]

[7]

[8]

[9]

[10]

[11]

[12]

[13]

[14]

[15]

[16]

[17]

[18]

[19]

[20]

[21]

[22]

[23]

[24]

[25]

[26]

[27]

[28]

[29]

[30]

[31]

[32]

[33]

[34]

[35]

[36]

[37]

[38]

[39]

[40]

[41]

[42]

[43]

[44]

@@ 第320行： / 第320行： @@
 * ... is the unique two-digit<sub>7</sub><ref name="digit"/> prime number whose reversal<sub>7</sub><ref name="reversal"/> is composite.
 * ... is the smallest prime number that is the concatenation<sub>14</sub><ref name="concatenation"/> of two prime numbers.
+* ..., as 2<sup>2</sup>+3<sup>3</sup>, is a handsome<sub>14</sub><ref name="handsome"/> number.
 * ... is the "home prime"<sub>14</sub><ref name="homeprime"/> reached from 6.
 * ... is the smallest positive integer whose tesseractic has 8 digits<sub>7</sub><ref name="digit"/>.
@@ 第335行： / 第336行： @@
 ===33===
 <div style="border:2px solid #ff00ff">
+* ..., as 2<sup>3</sup>+5<sup>2</sup>, is a handsome<sub>14</sub><ref name="handsome"/> number.
 </div>