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168

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168 is an integer, the size of the smallest non-cyclic simple group which is not an alternating group.

Membership in core sequences

Even numbers ..., 162, 164, 166, 168, 170, 172, 174, ... A005843
Composite numbers ..., 162, 164, 165, 168, 169, 170, 171, ... A002808
Abundant numbers ..., 156, 160, 162, 168, 174, 176, 180, ... A005101

Sequences pertaining to 168

Multiples of 168 168, 336, 504, 672, 840, 1008, 1176, 1344, 1512, 1680, 1848, 2016, ...

Partitions of 168

There are 228204732751 partitions of 168.

Values for number theoretic functions with 168 as an argument

PLACEHOLDER

Factorization of 168 in some quadratic integer rings

As was mentioned above, 168 is the product of three primes (with some repetition) in . But in some quadratic integer rings, some of these primes are further reducible.

TABLE GOES HERE

Representation of 168 in various bases

Base 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Representation 10101000 20020 2220 1133 440 330 250 206 168 143 120 CC C0 B3 A8 9F 96 8G 88

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