65

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65 is an integer.

Membership in core sequences

Odd numbers	..., 59, 61, 63, 65, 67, 69, 71, ...	A005843
Squarefree numbers	..., 59, 61, 62, 65, 66, 67, 69, ...	A005117
Semiprimes	..., 57, 58, 62, 65, 69, 74, 77, ...	A001358
Composite numbers	..., 62, 63, 64, 65, 66, 68, 69, ...	A002808

In Pascal's triangle, 65 occurs twice.

Sequences pertaining to 65

Multiples of 65	0, 65, 130, 195, 260, 325, 390, 455, 520, 585, 650, 715, 780, ...
$3x+1$ sequence starting at 57	57, 172, 86, 43, 130, 65, 196, 98, 49, 148, 74, 37, 112, 56, ...	A008877

Partitions of 65

There are 2012558 partitions of 65. [FINISH WRITING]

Roots and powers of 65

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

TABLE GOES HERE

Values for number theoretic functions with 65 as an argument

TABLE GOES HERE

Factorization of some small integers in a quadratic integer ring adjoining −65, 65

PLACEHOLDER

Factorization of 65 in some quadratic integer rings

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