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32

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32 is the fifth power of 2.

Membership in core sequences

Even numbers ..., 26, 28, 30, 32, 34, 36, 38, ... A005843
Composite numbers ..., 27, 28, 30, 32, 33, 34, 35, ... A002808
Powers of 2 ..., 4, 8, 16, 32, 64, 128, 256, ... A000079

Sequences pertaining to 32

Multiples of 32 0, 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, ... A174312
sequence beginning at 21 21, 64, 32, 16, 8, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, ... A033481

Partitions of 32

There are 8349 partitions of 32. Of these, several partitions do the of the [FINISH WRITING]

Roots and powers of 32

In the table below, irrational numbers are given truncated to eight decimal places.

5.65685424 A010487 32 2 1024
3.17480210 A010603 32 3 32768
2.37841423 A011027 32 4 1048576
2.00000000 32 5 33554432
1.78179743 32 6 1073741824
1.64067071 32 7 34359738368
1.54221082 32 8 1099511627776
1.46973449 32 9 35184372088832
1.41421356 A002193 32 10 1125899906842624
A009976

Logarithms and 32nd powers

In the OEIS specifically and mathematics in general, refers to the natural logarithm of , whereas all other bases are specified with a subscript.

As above, irrational numbers in the following table are truncated to eight decimal places.

0.20000000 A102525 2 32 4294967296
0.28853900 A131920* 3.46573590 A016655 7.89629601... × 10 13
0.31699250 A020861* 3.15464876 A152747** 3 32 1853020188851841
3.02755780 0.33029922 8.10580078... × 10 15
0.40000000 2.50000000 4 32 18446744073709551616
0.46438561 2.15338279 A152675 5 32 23283064365386962890625
0.51699250 1.93426403 6 32 7958661109946400884391936
0.56147098 1.78103593 7 32 1104427674243920646305299201
0.60000000 1.66666666 A020793 8 32 79228162514264337593543950336
0.63398500 1.57732438 9 32 3433683820292512484657849089281
0.66438561 1.50514997 10 32 100000000000000000000000000000000

* Divided by 10.

** Multiplied by 10.

(See A001016 for the 32nd powers of integers).

Values for number theoretic functions with 32 as an argument

0
–4
11
63
6
16
5
1
8 This is the Carmichael lambda function.
–1 This is the Liouville lambda function.
32! 263130836933693530167218012160000000
8222838654177922817725562880000000

Factorization of 32 in some quadratic integer rings

In , 32 has the prime factorization of 2 5. But it has different factorizations in some quadratic integer rings.

2 5
2 5
2 5 2 5
2 5
2 5

The relationship of –32, 32 to quadratic integer rings adjoining ,

REMARKS

Representation of 32 in various bases

Base 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Representation 100000 1012 200 112 52 44 40 35 32 2A 28 26 24 22 20 1F 1E 1D 1C

REMARKS GO HERE

References


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