119

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119 is an integer. Notice that it is divisible by 1 and 7, while 120 is divisible by every integer from 1 to 8 except 7. 119 is the smallest number with this property.

Membership in core sequences

Odd numbers	..., 113, 115, 117, 119, 121, 123, 125, ...	A005408
Composite numbers	..., 116, 117, 118, 119, 120, 121, 122, ...	A002808

Sequences pertaining to 119

Multiples of 119	119, 238, 357, 476, 595, 714, 833, 952, 1071, 1190, 1309, 1428, ...
$3x+1$ sequence starting at 79	79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, ...	A258098

Partitions of 119

There are 1653668665 partitions of 119.

Roots and powers of 119

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

TABLE GOES HERE

Values for number theoretic functions with 119 as an argument

$\mu (119)$	1
$M(119)$	−3
$\pi (119)$	30
$\sigma _{1}(119)$	144
$\sigma _{0}(119)$	4
$\phi (119)$	96
$\Omega (119)$	2
$\omega (119)$	2
$\lambda (119)$		This is the Carmichael lambda function.
$\lambda (119)$		This is the Liouville lambda function.

Factorization of some small integers in a quadratic integer ring adjoining the square roots of −119, 119

REMARKS GO HERE

TABLE GOES HERE

Factorization of 119 in some quadratic integer rings

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TABLE GOES HERE

Representation of 121 in various bases

Base	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
Representation	1110111	11102	1313	434	315	230	167	142	119	A9	9B	92	87	7E	77	70	6B	65	5J

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