What’s Special About This Number?

I was wondering when i came across this page is to whether really a number has its own identity. If it does, how many such numbers would be there, a few hundreds?? thats it and definitely not in order. But this definitely changed my view and perceptions. This is guy is very into numbers and really puzzled me up on how would he had found these all.


The list contains the speciallity of first 10,000 numbers. Imagine that the numbers from 0 to 9999 have their own identity. They can be attributed to their own special property. To list a few here are some. To go through the complete list visit What’s Special About This Number?. Take a look each has a context reference too. Definitely a hell of work and dedication by the owner.

0 is the additive identity.
1 is the multiplicative identity.
2 is the only even prime.
3 is the number of spatial dimensions we live in.
4 is the smallest number of colors sufficient to color all planar maps.
5 is the number of Platonic solids.
6 is the smallest perfect number.
7 is the smallest number of faces of a regular polygon that is not constructible by straightedge and compass.
8 is the largest cube in the Fibonacci sequence.
9 is the maximum number of cubes that are needed to sum to any positive integer.
10 is the base of our number system.
11 is the largest known multiplicative persistence.
12 is the smallest abundant number.
13 is the number of Archimedian solids.
14 is the smallest number n with the property that there are no numbers relatively prime to n smaller numbers.
15 is the smallest composite number n with the property that there is only one group of order n.
16 is the only number of the form xy = yx with x and y different integers.
17 is the number of wallpaper groups.
18 is the only number that is twice the sum of its digits.
19 is the maximum number of 4th powers needed to sum to any number.20 is the number of rooted trees with 6 vertices.
21 is the smallest number of distinct squares needed to tile a square.
22 is the number of partitions of 8.
23 is the smallest number of integer-sided boxes that tile a box so that no two boxes share a common length.
24 is the largest number divisible by all numbers less than its square root.
25 is the smallest square that can be written as a sum of 2 squares.
26 is the only positive number to be directly between a square and a cube.
27 is the largest number that is the sum of the digits of its cube.
28 is the 2nd perfect number.
29 is the 7th Lucas number.
30 is the largest number with the property that all smaller numbers relatively prime to it are prime.
31 is a Mersenne prime.
32 is the smallest 5th power (besides 1).
33 is the largest number that is not a sum of distinct triangular numbers.
34 is the smallest number with the property that it and its neighbors have the same number of divisors.
35 is the number of hexominoes.

Complete list at…. What’s Special About This Number?

2 Responses

  1. Anonymous says:

    cooool … never knew that!!

  2. bubka says:

    did you know that every natural number is special?

    for otherwise, by the well ordering of the natural numbers, there would be a smallest number that is not special, and that would make it very special!