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126

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126 is an integer.

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

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

References