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276
276 is an integer. It is the smallest sum of distinct positive fifth powers: 1 5 + 2 5 + 3 5 = 276.
Contents
Membership in core sequences
Even numbers | ..., 270, 272, 274, 276, 278, 280, 282, ... | A005843 |
Composite numbers | ..., 273, 274, 275, 276, 278, 279, 280, ... | A002808 |
Abundant numbers | ..., 264, 270, 272, 276, 280, 282, 288, ... | A005101 |
Triangular numbers | ..., 210, 231, 253, 276, 300, 325, 351, ... | A000217 |
A McKay-Thompson series | 1, 40, 276, −2048, 11202, −49152, ... | A035099 |
Sequences pertaining to 276
Multiples of 276 | 276, 552, 828, 1104, 1380, 1656, 1932, 2208, 2484, 2760, 3036, 3312, ... | |
Divisors of 276 | 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276 | A018369 |
Partitions of 276
There are 1637293969337171 partitions of 276.
The Goldbach representations of 276 are 271 + 5 = 269 + 7 = 263 + 13 = 257 + 19 = 239 + 37 = 233 + 43 = 229 + 47 = 223 + 53 = 197 + 79 = 193 + 83 = 179 + 97 = 173 + 103 = 167 + 109 = 163 + 113 = 149 + 127 = 139 + 137 = 276.
There are seven ways to express 276 as a sum of its distinct divisors: 1 + 4 + 6 + 12 + 23 + 92 + 138 = 1 + 4 + 6 + 12 + 46 + 69 + 138 = 2 + 3 + 6 + 12 + 23 + 92 + 138 = 2 + 3 + 6 + 12 + 46 + 69 + 138 = 23 + 46 + 69 + 138 = 46 + 92 + 138 = 276.
Roots and powers of 276
In the table below, irrational numbers are given truncated to eight decimal places.
TABLE GOES HERE
Values for number theoretic functions with 276 as an argument
TABLE GOES HERE
Factorization of 276 in some quadratic integer rings
REMARKS GO HERE
TABLE GOES HERE
Representation of 276 in various bases
Base | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
Representation | 100010100 | 101020 | 10110 | 2101 | 1140 | 543 | 424 | 336 | 276 | 231 | 1B0 | 183 | 15A | 136 | 114 | G4 | F6 | EA | DG |
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 |