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0 - 50

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 (other than 0) 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.

36 is the smallest number (besides 1) which is both
square and triangular.

37 is the maximum number of 5th powers needed to sum to any number.

38 is the last
Roman numeral when written lexicographically.

39 is the smallest number which has 3 different
partitions into 3 parts with the same product.

40 is the only number whose letters are in alphabetical order.

41 is a value of n so that x2 + x + n takes on
prime values for x=0, 1, 2, ... n-2.

42 is the 5th
Catalan number.

43 is the number of sided
7-iamonds.

44 is the number of
derangements of 5 items.

45 is a
Kaprekar number.

46 is the number of different arrangements (up to rotation and reflection) of 9 non-attacking
queens on a 9×9 chessboard.

47 is the largest number of
cubes that cannot tile a cube.

48 is the smallest number with 10
divisors.

49 is the smallest number with the property that it and its neighbors are
squareful.

50 is the smallest number that can be written as the sum of of 2
squares in 2 ways.