125 (number)

Last updated
124 125 126
Cardinal one hundred twenty-five
Ordinal 125th
(one hundred twenty-fifth)
Factorization 53
Divisors 1, 5, 25, 125
Greek numeral ΡΚΕ´
Roman numeral CXXV, cxxv
Binary 11111012
Ternary 111223
Senary 3256
Octal 1758
Duodecimal A512
Hexadecimal 7D16

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

In mathematics

5cube.svg

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]

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<span class="mw-page-title-main">120 (number)</span> Natural number

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References

  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.