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# 108

Please do not rely on any information it contains.

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

TABLE GOES HERE

## Factorization of 108 in some quadratic integer rings

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

TABLE

REMARKS

## Representation of 108 in various bases

PLACEHOLDER

 $-1$ 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