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77
From OeisWiki
77 is an integer, the largest number that can't be written as a sum of distinct numbers whose reciprocals sum to 1.
Contents
- 1 Membership in core sequences
- 2 Sequences pertaining to 77
- 3 Partitions of 77
- 4 Roots and powers of 77
- 5 Logarithms and 77th powers
- 6 Values for number theoretic functions with 77 as an argument
- 7 Factorization of some small integers in a quadratic integer ring adjoining ,
- 8 Factorization of 77 in some quadratic integer rings
- 9 Representation of 77 in various bases
- 10 See also
Membership in core sequences
Odd numbers | ..., 71, 73, 75, 77, 79, 81, 83, ... | A005843 |
Composite numbers | ..., 74, 75, 76, 77, 78, 80, 81, ... | A002808 |
Semiprimes | ..., 65, 69, 74, 77, 82, 85, 86, ... | A001358 |
Squarefree numbers | ..., 71, 73, 74, 77, 78, 79, 82, ... | A005117 |
Sequences pertaining to 77
Multiples of 77 | 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, 924, ... | |
sequence beginning at 51 | 51, 154, 77, 232, 116, 58, 29, 88, 44, 22, 11, 34, 17, 52, ... | A008883 |
Partitions of 77
There are 10619863 partitions of 77. Of these, the of the [FINISH WRITING]
Roots and powers of 77
In the table below, irrational numbers are given truncated to eight decimal places.
TABLE GOES HERE
Logarithms and 77th powers
REMARKS
TABLE
Values for number theoretic functions with 77 as an argument
TABLE GOES HERE
Factorization of some small integers in a quadratic integer ring adjoining ,
REMARKS GO HERE
2 | Prime |
3 | |
4 | 2 2 |
5 | Prime |
6 | 2 × 3 |
7 | |
8 | 2 3 |
9 | 3 2 |
10 | 2 × 5 |
11 | |
12 | 2 2 × 3 |
13 | |
14 | |
15 | 3 × 5 |
16 | 2 4 |
17 | |
18 | 2 × 3 2 |
19 | |
20 | 2 2 × 5 |
MORE REMARKS
Factorization of 77 in some quadratic integer rings
PLACEHOLDER
TABLE GOES HERE
Representation of 77 in various bases
Base | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
Representation | 1001101 | 2212 | 1031 | 302 | 205 | 140 | 115 | 85 | 77 | 70 | 65 | 5C | 57 | 52 | 4D | 49 | 45 | 41 | 3H |
REMARKS GO HERE
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 |