63

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63 is an integer, the number of partially ordered sets of 5 elements.

Membership in core sequences

Odd numbers	..., 57, 59, 61, 63, 65, 67, 69, ...	A005843
Composite numbers	..., 58, 60, 62, 63, 64, 65, 66, ...	A002808
Deficient numbers	..., 59, 61, 62, 63, 64, 65, 67, ...	A005100
Lucky numbers	..., 43, 49, 51, 63, 67, 69, 73, ...	A000959
Loeschian numbers	..., 52, 57, 61, 63, 64, 67, 73, ...	A003136
$2^{n}-1$	1, 3, 7, 15, 31, 63, 127, 255, ...	A000225

Sequences pertaining to 63

Multiples of 63	0, 63, 126, 189, 252, 315, 378, 441, 504, 567, 630, 693, 756, ...
Divisors of 63	1, 3, 7, 9, 21, 63	A018267
$3x+1$ sequence starting at 57	63, 190, 95, 286, 143, 430, 215, 646, 323, 970, 485, 1456, 728, ...	A008874

Partitions of 63

There are 1505499 partitions of 63.

Roots and powers of 63

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

TABLE GOES HERE

Values for number theoretic functions with 63 as an argument

TABLE GOES HERE

Factorization of 63 in some quadratic integer rings

As was mentioned above, 63 is the product of two primes in $\mathbb {Z}$. But it has different factorizations in some quadratic integer rings.

TABLE

REMARKS

Representation of 63 in various bases

PLACEHOLDER

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