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96

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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.

Values for number theoretic functions with 96 as an argument

PLACEHOLDER

Factorization of 96 in some quadratic integer rings

PLACEHOLDER

TABLE GOES HERE

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

See also

Some integers
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