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35
From OeisWiki
35 is an integer.
Contents
- 1 Membership in core sequences
- 2 Sequences pertaining to 35
- 3 Partitions of 35
- 4 Roots and powers of 35
- 5 Logarithms and 35th powers
- 6 Values for number theoretic functions with 35 as an argument
- 7 Factorization of some small integers in a quadratic integer ring adjoining −35, 35
- 8 Factorization of 35 in some quadratic integer rings
- 9 Representation of 35 in various bases
- 10 See also
Membership in core sequences
Odd numbers | ..., 29, 31, 33, 35, 37, 39, 41, ... | A005843 |
Semiprimes | ..., 26, 33, 34, 35, 38, 39, 46, ... | A001358 |
Squarefree numbers | ..., 31, 33, 34, 35, 37, 38, 39, ... | A005117 |
Composite numbers | ..., 32, 33, 34, 35, 36, 38, 39, ... | A002808 |
Tetrahedral numbers | ..., 4, 10, 20, 35, 56, 84, 120, ... | A000292 |
Pentagonal numbers | ..., 5, 12, 22, 35, 51, 70, 92, ... | A000326 |
In Pascal's triangle, 35 occurs four times, the first two times on the seventh row as the sum of 15 and 20 on the sixth row.
Sequences pertaining to 35
Multiples of 35 | 0, 35, 70, 105, 140, 175, 210, 245, 280, 315, ... | |
35-gonal numbers | 1, 35, 102, 202, 335, 501, 700, 932, 1197, 1495, ... | |
sequence starting at 15 | 15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, ... | A033480 |
sequence starting at 63 | 63, 188, 94, 47, 140, 70, 35, 104, 52, 26, 13, ... | A008895 |
Partitions of 35
There are 14883 partitions of 35. Of these, [FINISH WRITING]
Roots and powers of 35
In the table below, irrational numbers are given truncated to eight decimal places.
5.91607978 | A010490 | 35 2 | 1225 | |
3.27106631 | A010606 | 35 3 | 42875 | |
2.43229927 | A011030 | 35 4 | 1500625 | |
2.03616800 | A011120 | 35 5 | 52521875 | |
1.80860894 | 35 6 | 1838265625 | ||
1.66180916 | 35 7 | 64339296875 | ||
1.55958304 | 35 8 | 2251875390625 | ||
1.48444159 | 35 9 | 78815638671875 | ||
1.42694358 | 35 10 | 2758547353515625 | ||
A009979 |
Logarithms and 35th powers
REMARKS
TABLE
Values for number theoretic functions with 35 as an argument
1 | ||
−1 | ||
11 | ||
48 | ||
4 | ||
24 | ||
2 | ||
2 | ||
This is the Carmichael lambda function. | ||
This is the Liouville lambda function. | ||
1.00000000002910385044497099686929425227884... | ||
35! | 10333147966386144929666651337523200000000 | |
295232799039604140847618609643520000000 |
Factorization of some small integers in a quadratic integer ring adjoining −35, 35
Neither nor are unique factorization domains, they both have class number 2. has units of the form ().
TABLE GOES HERE
Factorization of 35 in some quadratic integer rings
PLACEHOLDER
TABLE GOES HERE
Representation of 35 in various bases
Base | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
Representation | 100011 | 1022 | 203 | 120 | 55 | 50 | 43 | 38 | 35 | 2D | 32 | 29 | 27 | 25 | 23 | 21 | 1H | 1G | 1F |
REMARKS GO HERE
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 |