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What's Special About This Number?
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"What's Special About This Number?
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primes
graphs
digits
sums of powers
bases
combinatorics
powers/polygonal
Fibonacci
geometry
repdigits
algebra
perfect/amicable
pandigital
matrices
divisors
games/puzzles
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 x y = y x 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 4 th 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"
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