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# 75

Please do not rely on any information it contains.

75 is an integer, the number of orderings of four objects with ties allowed.

## Membership in core sequences

 Odd numbers ..., 69, 71, 73, 75, 77, 79, 81, ... A005843 Composite numbers ..., 70, 72, 74, 75, 76, 77, 78, ... A002808 Deficient numbers ..., 71, 73, 74, 75, 76, 77, 79, ... A005100 Lucky numbers ..., 67, 69, 73, 75, 79, 87, 93, ... A000959 Loeschian numbers ..., 64, 67, 73, 75, 76, 79, 81, ... A003136 Fubini numbers 1, 1, 3, 13, 75, 541, 4683, ... A000670

## Sequences pertaining to 75

 Multiples of 75 75, 150, 225, 300, 375, 450, 525, 600, 675, 750, 825, 900, 975, 1050, ... ${\displaystyle 3x+1}$ sequence beginning at 75 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1, 4, 2, 1, ... A258056

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## Roots and powers of 75

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

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PLACEHOLDER

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## Representation of 75 in various bases

 Base 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Representation 1001011 2220 1023 250 203 135 113 83 75 69 63 5A 55 50 4B 47 43 3I 3F

 ${\displaystyle -1}$ 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