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35

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This article is under construction.            

Please do not rely on any information it contains.            


35 is an integer.

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

Some integers
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