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

2025年6月10日 (二) 17:54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 are also welcome.

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.

1

... is the smallest positive number.
... is the multiplicative identity.

2

... is the smallest positive prime number.
... is the only even positive prime number.
... is an RDI₇^[3] of order 2.
... is the last distinct digit₇^[2] to encounter when the digits₇ of π are scanned^[4].

3

... is the smallest odd positive prime number.
... is the smallest Full Reptend Prime₁₄^[5].

π

... contains almost everyone's birthday in 6-digit or 8-digit form.
... is the irrational number that we most known.

4

... is the smallest positive composite number.
... is the 2nd square number.
... 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.

5

... is the smallest positive odd number that is not a repunit₂^[6] 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 number of known Shidinn characters with numeral sum of exactly 100000.

7

... is the third smallest repunit₂^[6] number.
... is the smallest positive two-digit₇^[2] number.
... is the second smallest positive 1-automorphic₁₄^[7] number.
... 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 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.
... 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^[6] number.
... is the smallest known repfigit₇^[9] number.
... is the third smallest positive 1-automorphic₁₄^[7] number.
... is the second cubic number.

9

... is the smallest positive odd composite number.
... is the second smallest Smarandache₇^[10] number.
... is the smallest Early Bird₇^[11] 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^[12].
... is the largest digit in base^[1] 10.

10

... is the smallest positive even number n where n-1 is a Fermat pseudoprime_n^[13].
... is the smallest positive integer that is not a Harshad₇^[14] number.
... is a Narcissistic₇^[15] number.
... is a disarium₇^[16] number.
... is the number of digits₇^[2] after the point to be scanned^[4] 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^[17].

12

... is the smallest abundant number.
... is the number of two-digit₇^[2] prime numbers.
... 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^[6] number.
... is an RDI₇^[3] of order 2.
... is the smallest positive odd Fibonacci number that is not palindromic₂^[17].
... is the number that represents Devil in western culture.

14

... is the smallest positive two-digit₁₄^[2] number.
... is the smallest two-digit₇^[2] "kind₇"^[18] number.
... is the smallest integer n such that eⁿ exceeds 7⁷.
... 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^[6] number.

16

... is the second smallest positive tesseractic number.
... is the smallest positive integer with five positive factors.
... is a repdigit₇^[8] number.
... is the second smallest Smarandache₁₄^[10] number.
... is the smallest positive composite number whose reversal₁₄^[19] is prime.

17

... is a Fermat prime.
... is the smallest prime number that is the concatenation₇^[20] of two prime numbers.

18

... 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^[19] is composite.

20

... is the smallest positive integer n such that 2ⁿ is pandigital₇^[12].
... is the smallest positive non-repdigit₇ integer whose square is repdigit₇^[8].
... 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^[6] number.
... is the third smallest^{[lɤ ɛyuə iq8 q6]} positive integer whose tesseractic is a happy₁₄^[21] number.

22

23

... is the smallest prime number that is not a twin prime.
... is the smaller prime factor of 2047, the smallest Mersenne composite number.

24

... is the smallest positive integer n such that 2ⁿ ends in three identical digits₇^[2].

25

... is a narcissistic₇^[15] number.
... is an RDI₁₄^[3] of order 2.
... is the smallest positive integer n such that 2ⁿ starts in three identical digits₇^[2] and ends in three identical digits₇.

26

27

28

<div sty

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[base-1] 1.0 ^1.1 引用错误：<ref>标签无效；未给name（名称）为base的ref（参考）提供文本

[digit-2] 2.00 ^2.01 ^2.02 ^2.03 ^2.04 ^2.05 ^2.06 ^2.07 ^2.08 ^2.09 ^2.10 ^2.11 ^2.12 ^2.13 ^2.14 ^2.15 ^2.16 ^2.17 引用错误：<ref>标签无效；未给name（名称）为digit的ref（参考）提供文本

[rdi-3] 3.0 ^3.1 ^3.2 引用错误：<ref>标签无效；未给name（名称）为rdi的ref（参考）提供文本

[constantdigitscanning-4] 4.0 ^4.1 引用错误：<ref>标签无效；未给name（名称）为constantdigitscanning的ref（参考）提供文本

[frp-5] 引用错误：<ref>标签无效；未给name（名称）为frp的ref（参考）提供文本

[repunit-6] 6.0 ^6.1 ^6.2 ^6.3 ^6.4 ^6.5 引用错误：<ref>标签无效；未给name（名称）为repunit的ref（参考）提供文本

[automorphic-7] 7.0 ^7.1 引用错误：<ref>标签无效；未给name（名称）为automorphic的ref（参考）提供文本

[repdigit-8] 8.0 ^8.1 ^8.2 ^8.3 引用错误：<ref>标签无效；未给name（名称）为repdigit的ref（参考）提供文本

[repfigit-9] 引用错误：<ref>标签无效；未给name（名称）为repfigit的ref（参考）提供文本

[smarandache-10] 10.0 ^10.1 引用错误：<ref>标签无效；未给name（名称）为smarandache的ref（参考）提供文本

[a116700-11] 引用错误：<ref>标签无效；未给name（名称）为a116700的ref（参考）提供文本

[pandigital-12] 12.0 ^12.1 引用错误：<ref>标签无效；未给name（名称）为pandigital的ref（参考）提供文本

[psp-13] 引用错误：<ref>标签无效；未给name（名称）为psp的ref（参考）提供文本

[harshad-14] 引用错误：<ref>标签无效；未给name（名称）为harshad的ref（参考）提供文本

[narcissistic-15] 15.0 ^15.1 引用错误：<ref>标签无效；未给name（名称）为narcissistic的ref（参考）提供文本

[disarium-16] 引用错误：<ref>标签无效；未给name（名称）为disarium的ref（参考）提供文本

[palindromic-17] 17.0 ^17.1 引用错误：<ref>标签无效；未给name（名称）为palindromic的ref（参考）提供文本

[a185186-18] 引用错误：<ref>标签无效；未给name（名称）为a185186的ref（参考）提供文本

[reversal-19] 19.0 ^19.1 引用错误：<ref>标签无效；未给name（名称）为reversal的ref（参考）提供文本

[concatenation-20] 引用错误：<ref>标签无效；未给name（名称）为concatenation的ref（参考）提供文本

[happy-21] 引用错误：<ref>标签无效；未给name（名称）为happy的ref（参考）提供文本

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