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125 (number)

From Wikipedia, the free encyclopedia
← 124 125 126 →
Cardinalone hundred twenty-five
Ordinal125th
(one hundred twenty-fifth)
Factorization53
Divisors1, 5, 25, 125
Greek numeralΡΚΕ´
Roman numeralCXXV
Binary11111012
Ternary111223
Senary3256
Octal1758
DuodecimalA512
Hexadecimal7D16

125 (one hundred [and] twenty-five) is the natural number following 124 and preceding 126.

In mathematics

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125 is the cube of 5. It can be expressed as a sum of two squares in two different ways, 125 = 10² + 5² = 11² + 2².[1]

125 and 126 form a Ruth-Aaron pair under the second definition in which repeated prime factors are counted as often as they occur.

Like many other powers of 5, it is a Friedman number in base 10 since 125 = 51 + 2.

125 is the center of a close triplet of perfect powers, (121 = 112, 125 = 53, 128 = 27). Excluding the trivial cases of 0 and 1, the only closer such triplet is (4,8,9) and the only other equally close is (25, 27, 32).[2]

U.S. military

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In transportation

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In other fields

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125 is also:

See also

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References

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  1. ^ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 136
  2. ^ Noe, Anthony. "Solutions to Pillai's equation for n <= 100". Retrieved 5 September 2022.