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# 34

Please do not rely on any information it contains.

34 is an integer.

## Membership in core sequences

 Even numbers ..., 28, 30, 32, 34, 36, 38, 40, ... A005843 Composite numbers ..., 30, 32, 33, 34, 35, 36, 38, ... A002808 Semiprimes ..., 25, 26, 33, 34, 35, 38, 39, ... A001358 Squarefree numbers ..., 30, 31, 33, 34, 35, 37, 38, ... A005117 Deficient numbers ..., 31, 32, 33, 34, 35, 37, 38, ... A005100 Fibonacci numbers ..., 2, 3, 5, 8, 13, 21, 34, 55, ... A000045

## Sequences pertaining to 34

 Multiples of 34 0, 34, 68, 102, 136, 170, 204, 238, 272, 306, 340, 374, 408 ... ${\displaystyle 3x+1}$ sequence starting at 9 9, 28, 14, 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1, 4, 2, 1, 4, ... A033479

## Partitions of 34

There are 12310 partitions of 34.

The Goldbach representations of 34 are: [GOLDBACH REPRESENTATIONS GO HERE]

## Roots and powers of 34

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

TABLE GOES HERE

## Logarithms and 34th powers

In the OEIS specifically and mathematics in general, ${\displaystyle \log x}$ refers to the natural logarithm of ${\displaystyle x}$, whereas all other bases are specified with a subscript.

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

TABLE GOES HERE

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PLACEHOLDER

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## Representation of 34 in various bases

 Base 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Representation 100010 1021 202 114 54 46 42 37 34 31 2A 28 26 24 22 20 1G 1F 1E

 ${\displaystyle -1}$ 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