125 (number)
| ||||
|---|---|---|---|---|
| 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
[edit]
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]
References
[edit]- ^ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 136
- ^ Noe, Anthony. "Solutions to Pillai's equation for n <= 100". Retrieved 5 September 2022.