39

This article is under construction.            

Please do not rely on any information it contains.            

39 is an integer.

Membership in core sequences

Odd numbers	..., 33, 35, 37, 39, 41, 43, 45, ...	A005843
Semiprimes	..., 34, 35, 38, 39, 46, 49, 51, ...	A001358
Composite numbers	..., 35, 36, 38, 39, 40, 42, 44, ...	A002808
Deficient numbers	..., 35, 37, 38, 39, 41, 43, 44, ...	A005100
Squarefree numbers	..., 35, 37, 38, 39, 41, 42, 43, ...	A005117

Sequences pertaining to 39

Multiples of 39	0, 39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, ...
$3x+1$ sequence starting at 39	39, 118, 59, 178, 89, 268, 134, 67, 202, 101, 304, 152, 76, 38, ...	A008878
Fermat pseudoprimes to base 39	38, 95, 133, 341, 1561, 1834, 1891, 2047, 2101, 2465, 3053, 3439, ...	A020167

Partitions of 39

PLACEHOLDER

Roots and powers of 39

PLACEHOLDER

Logarithms and 39th powers

REMARKS

TABLE

Values for number theoretic functions with 39 as an argument

TABLE GOES HERE

Factorization of some small integers in a quadratic integer ring adjoining the square roots of −39, 39

REMARKS GO HERE

TABLE GOES HERE

MORE REMARKS

FACTORIZATION OF IDEALS

Factorization of 39 in some quadratic integer rings

PLACEHOLDER

TABLE GOES HERE

Representation of 39 in various bases

Base	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
Representation	100111	1101	211	122	101	52	47	41	39	34	31	2B	29	27	27	23	21	1I	1J

In base 10, we see that 39 is the smallest number of multiplicative persistence 3, since 3 × 9 = 27, 2 × 7 = 14 and 1 × 4 = 4.

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