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119
From OeisWiki
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.
Contents
- 1 Membership in core sequences
- 2 Sequences pertaining to 119
- 3 Partitions of 119
- 4 Roots and powers of 119
- 5 Values for number theoretic functions with 119 as an argument
- 6 Factorization of some small integers in a quadratic integer ring adjoining the square roots of −119, 119
- 7 Factorization of 119 in some quadratic integer rings
- 8 Representation of 121 in various bases
- 9 See also
- 10 References
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, ... | |
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
1 | ||
−3 | ||
30 | ||
144 | ||
4 | ||
96 | ||
2 | ||
2 | ||
This is the Carmichael lambda function. | ||
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
REMARKS GO HERE
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
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 |