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Natural number
Natural number
| ||||
|---|---|---|---|---|
| Cardinal | six thousand one hundred seventy-four | |||
| Ordinal | 6174th (six thousand one hundred seventy-fourth) | |||
| Factorization | 2 × 32 × 73 | |||
| Divisors | 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 343, 441, 686, 882, 1029, 2058, 3087, 6174 | |||
| Greek numeral | ,ϚΡΟΔ´ | |||
| Roman numeral | VMCLXXIV, or VICLXXIV | |||
| Binary | 11000000111102 | |||
| Ternary | 221102003 | |||
| Senary | 443306 | |||
| Octal | 140368 | |||
| Duodecimal | 36A612 | |||
| Hexadecimal | 181E16 | |||
6174 (six thousand, one hundred [and] seventy-four) is the natural number following 6173 and preceding 6175.
- It is a Kaprekar's Constant
- 6174 is a 7-smooth number, i.e., none of its prime factors is greater than 7.
- 6174 can be written as the sum of the first three powers of 18:
- 183 + 182 + 181 = 5832 + 324 + 18 = 6174, and coincidentally, 6 + 1 + 7 + 4 = 18.
- The sum of squares of the prime factors of 6174 is a square:
- 22 + 32 + 32 + 72 + 72 + 72 = 4 + 9 + 9 + 49 + 49 + 49 = 169 = 132
- Bowley, Roger (5 December 2011). "6174 is Kaprekar's Constant". Numberphile. University of Nottingham: Brady Haran.
- Sample (Perl) code to walk any four-digit number to Kaprekar’s Constant
- Sample (Python) code to walk any four-digit number to Kaprekar’s Constant
- Sample (C) code to walk the first 10000 numbers and their steps to Kaprekar’s Constant