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# 96

Please do not rely on any information it contains.

96 is an integer, the smallest that can be written as the difference of two squares in four distinct ways: 10 2 − 2 2 = 11 2 − 5 2 = 14 2 − 10 2 = 25 2 − 23 2 = 96.

## Membership in core sequences

 Even numbers ..., 90, 92, 94, 96, 98, 100, 102, ... A005843 Composite numbers ..., 93, 94, 95, 96, 98, 99, 100, ... A002808 Abundant numbers ..., 84, 88, 90, 96, 100, 102, 104, ... A005101

## Sequences pertaining to 96

 Multiples of 96 0, 96, 192, 288, 384, 480, 576, 672, 768, 864, 960, 1056, 1152, ... Divisors of 96 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 A018280

## Partitions of 96

There are 118114304 partitions of 96.

The Goldbach representations of 96 are: 89 + 7 = 83 + 13 = 79 + 17 = 73 + 23 = 67 + 29 = 59 + 37 = 53 + 43 = 96.

PLACEHOLDER

PLACEHOLDER

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## Representation of 96 in various bases

 Base 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Representation 1100000 10120 1200 341 240 165 140 116 96 88 80 75 6C 66 60 5B 56 51 4G

 ${\displaystyle -1}$ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1729