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108

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108 is an integer. It is 3 hyperfactorial, as 1 1 2 2 3 1 = 1 × 4 × 27 = 108 (see A002109).

Membership in core sequences

Even numbers ..., 102, 104, 106, 108, 110, 112, 114, ... A005843
Composite numbers ..., 104, 105, 106, 108, 110, 111, 112, ... A002808
Abundant numbers ..., 100, 102, 104, 108, 112, 114, 120, ... A005101
Loeschian numbers ..., 97, 100, 103, 108, 109, 111, 112, ... A003136

Sequences pertaining to 108

Multiples of 108 0, 108, 216, 324, 432, 540, 648, 756, 864, 972, 1080, 1188, 1296, ...
Divisors of 108 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108 A018287

Partitions of 108

There are 483502844 partitions of 108.

The Goldbach representations of 108 are: 103 + 5 = 101 + 7 = 97 + 11 = 89 + 19 = 79 + 29 = 71 + 37 = 67 + 41 = 61 + 47 = 108.

Roots and powers of 108

In the table below, irrational numbers are given truncated to eight decimal places.

TABLE GOES HERE

Values for number theoretic functions with 108 as an argument

TABLE GOES HERE

Factorization of 108 in some quadratic integer rings

As was mentioned above, 108 is the product of two distinct primes in . But it has different factorizations in some quadratic integer rings.

TABLE

REMARKS

Representation of 108 in various bases

PLACEHOLDER

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