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 $\mathbb {Z}$. 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

							$-1$
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