35

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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, ...
$3x+1$ sequence starting at 15	15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, ...	A033480
$3x-1$ 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.

$\sqrt{35}$	5.91607978	A010490	35 2	1225
$\sqrt[3]{35}$	3.27106631	A010606	35 3	42875
$\sqrt[4]{35}$	2.43229927	A011030	35 4	1500625
$\sqrt[5]{35}$	2.03616800	A011120	35 5	52521875
$\sqrt[6]{35}$	1.80860894		35 6	1838265625
$\sqrt[7]{35}$	1.66180916		35 7	64339296875
$\sqrt[8]{35}$	1.55958304		35 8	2251875390625
$\sqrt[9]{35}$	1.48444159		35 9	78815638671875
$\sqrt[10]{35}$	1.42694358		35 10	2758547353515625
				A009979

Logarithms and 35th powers

REMARKS

TABLE

Values for number theoretic functions with 35 as an argument

$\mu (35)$	1
$M(35)$	−1
$\pi (35)$	11
${\sigma }_1(35)$	48
${\sigma }_0(35)$	4
$\varphi (35)$	24
$\mathrm{\Omega }(35)$	2
$\omega (35)$	2
$\lambda (35)$		This is the Carmichael lambda function.
$\lambda (35)$		This is the Liouville lambda function.
$\zeta (35)$	1.00000000002910385044497099686929425227884...
35!	10333147966386144929666651337523200000000
$\mathrm{\Gamma }(35)$	295232799039604140847618609643520000000

Factorization of some small integers in a quadratic integer ring adjoining −35, 35

Neither ${{𝒪}}_{\mathbb{\mathbb{Q}}(\sqrt{-35})}$ nor $\mathbb{\mathbb{Z}}[\sqrt{35}]$ are unique factorization domains, they both have class number 2. $\mathbb{\mathbb{Z}}[\sqrt{35}]$ has units of the form $\pm (6+\sqrt{35}{)}^n$ ($n\in \mathbb{\mathbb{Z}}$).

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

							$-1$
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