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126
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126 is an integer.
Contents
Membership in core sequences
Even numbers | ..., 120, 122, 124, 126, 128, 130, 132, ... | A005843 |
Composite numbers | ..., 123, 124, 125, 126, 128, 129, 130, ... | A002808 |
Abundant numbers | ..., 112, 114, 120, 126, 132, 138, ... | A005101 |
In Pascal's triangle, 126 occurs four times, the first two times in row 9 as the sum of 56 and 70 from row 8.
Sequences pertaining to 126
Multiples of 126 | 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, 1386, 1512, ... | |
Divisors of 126 | 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126 | A018295 |
Partitions of 126
There are 3519222692 partitions of 126.
The Goldbach representations of 126 are: 113 + 13 = 109 + 17 = 107 + 19 = 103 + 23 = 97 + 29 = 89 + 37 = 83 + 43 = 79 + 47 = 73 + 53 = 67 + 59 = 126.
Roots and powers of 126
In the table below, irrational numbers are given truncated to eight decimal places.
TABLE GOES HERE
Values for number theoretic functions with 126 as an argument
0 | ||
−1 | ||
30 | ||
4 | ||
3 | ||
This is the Carmichael lambda function. | ||
This is the Liouville lambda function. |
Factorization of 126 in some quadratic integer rings
REMARKS
TABLE
Representation of 126 in various bases
Base | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
Representation | 1111110 | 11200 | 1332 | 1001 | 330 | 240 | 176 | 150 | 126 | 105 | A6 | 99 | 90 | 86 | 7E | 77 | 70 | 6C | 66 |
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 |