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96
From OeisWiki
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.
Contents
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
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 |