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163
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163 is an integer.
Contents
- 1 Membership in core sequences
- 2 Sequences pertaining to 163
- 3 Partitions of 163
- 4 Roots and powers of 163
- 5 Logarithms and 163rd powers
- 6 Values for number theoretic functions with 163 as an argument
- 7 Factorization of some small integers in a quadratic integer ring adjoining ,
- 8 Factorization of 163 in some quadratic integer rings
- 9 Representation of 163 in various bases
- 10 See also
Membership in core sequences
Odd numbers | ..., 157, 159, 161, 163, 165, 167, 169, ... | A005408 |
Prime numbers | ..., 149, 151, 157, 163, 167, 173, 179, ... | A000040 |
Lucky numbers | ..., 141, 151, 159, 163, 169, 171, 189, ... | A001358 |
Squarefree numbers | ..., 158, 159, 161, 163, 165, 166, 167, ... | A005117 |
Loeschian numbers | ..., 151, 156, 157, 163, 169, 171, 172, ... | A003136 |
In Pascal's triangle, 163 occurs twice.
Sequences pertaining to 163
Multiples of 163 | 0, 163, 326, 489, 652, 815, 978, 1141, 1304, ... | |
sequence beginning at 163 | 163, 490, 245, 736, 368, 184, 92, 46, 23, 70, ... |
Partitions of 163
PLACEHOLDER
Roots and powers of 163
In the table below, irrational numbers are given truncated to eight decimal places.
12.76714533 | A210963 | 1632 | 26569 | |
5.46255557 | 1633 | 4330747 | ||
3.57311423 | 1634 | 705911761 | ||
2.76973054 | 1635 | 115063617043 | ||
2.33721106 | 1636 | 18755369578009 | ||
2.07026910 | 1637 | 3057125241215467 | ||
1.89026829 | 1638 | 498311414318121121 | ||
1.76115922 | 1639 | 81224760533853742723 | ||
1.66425074 | 16310 | 13239635967018160063849 | ||
Logarithms and 163rd powers
REMARKS
TABLE
Values for number theoretic functions with 163 as an argument
−1 | ||
0 | ||
38 | ||
164 | ||
2 | ||
162 | ||
1 | ||
1 | ||
162 | This is the Carmichael lambda function. | |
−1 | This is the Liouville lambda function. |
Factorization of some small integers in a quadratic integer ring adjoining ,
PLACEHOLDER
Factorization of 163 in some quadratic integer rings
As was mentioned above, 163 is prime in . But it has different factorizations in some quadratic integer rings.
Prime | |||
Prime | |||
Irreducible | |||
Prime | |||
Irreducible | Irreducible | ||
Prime | |||
Irreducible | |||
Irreducible | |||
Prime | |||
Representation of 163 in various bases
Base | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
Representation | 10100011 | 20001 | 2203 | 1123 | 431 | 322 | 243 | 201 | 163 | 139 | 117 | C7 | B9 | AD | 1A | 9A | 91 | 8B | 83 |
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 |
1729 |