52

This article is under construction.            

Please do not rely on any information it contains.            

52 is an integer.

Membership in core sequences

Even numbers	..., 46, 48, 50, 52, 54, 56, 58, ...	A005843
Composite numbers	..., 49, 50, 51, 52, 54, 55, 56, ...	A002808
Deficient numbers	..., 49, 50, 51, 52, 53, 55, 57, ...	A005100
Bell numbers	1, 1, 2, 5, 15, 52, 203, 877, ...	A000110
Sums of 2 squares	..., 45, 49, 50, 52, 53, 58, 61, ...	A001481
Loeschian numbers	..., 43, 48, 49, 52, 57, 61, 63, ...	A003136
Binary tree numbers	2, 7, 52, 2133, 2590407, ...	A005588

Sequences pertaining to 52

Multiples of 52	0, 52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, ...
$3x+1$ sequence beginning at 9	9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, ...	A033479

Partitions of 52

There are 281589 partitions of 52.

The Goldbach representations of 52 are 47 + 5 = 41 + 11 = 23 + 29.

Roots and powers of 52

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

PLACEHOLDER

Values for number theoretic functions with 52 as an argument

PLACEHOLDER

Factorization of some small integers in a quadratic integer ring adjoining the square roots of −52, 52

Since 52 is not squarefree, [FINISH WRITING]

Factorization of 52 in some quadratic integer rings

PLACEHOLDER

Representation of 52 in various bases

Base	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
Representation	110100	1221	310	202	124	103	64	57	52	48	44	40	3A	37	34	31	2G	2E	2C

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