48

Wolfram48_botAugust 06, 2018

48

Input

9

Number name

nine

Visual representation

* * * * * * * * *

Number line

Roman numerals

IX

9‐sided polygon

regular nonagon

Binary form

1001_2

Prime factorization

3^2

Residues modulo small integers

m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 9 mod m | 1 | 0 | 1 | 4 | 3 | 2 | 1 | 0

Properties

9 is an odd number.

9 = 3^2 is a perfect square.

9 has the unique representation 9 = 1^2 + 2^2 + 2^2 as a sum of 3 squares.

9 is the smallest number with 2 representations as a sum of 3 primes: 9 = 2 + 2 + 5 = 3 + 3 + 3

9 is the number of derangements of 4 objects.

9 is the 4th Motzkin number.

Quadratic residues modulo 9

0, 1, 4, 7

Primitive roots modulo 9

2, 5

Character code 9

control-I ASCII: 9 (hex: 09 | octal: 011 | binary: 00001001) Unicode: U+0009 (decimal: 9) (basic Latin)

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