217 (number)
Appearance
| ||||
---|---|---|---|---|
Cardinal | two hundred seventeen | |||
Ordinal | 217th (two hundred seventeenth) | |||
Factorization | 7 × 31 | |||
Greek numeral | ΣΙΖ´ | |||
Roman numeral | CCXVII | |||
Binary | 110110012 | |||
Ternary | 220013 | |||
Senary | 10016 | |||
Octal | 3318 | |||
Duodecimal | 16112 | |||
Hexadecimal | D916 |
217 (two hundred [and] seventeen) is the natural number following 216 and preceding 218.
In mathematics
[edit]217 is a centered hexagonal number, a 12-gonal number, a centered 36-gonal number, a Fermat pseudoprime to base 5, and a Blum integer.[1] It is both the sum of two positive cubes and the difference of two positive consecutive cubes in exactly one way: . When written in binary, it is a non-repetitive Kaprekar number.[2] It is also the sum of all the divisors of 100.
See also
[edit]- 217, the year
References
[edit]- ^ The Number 217, Virtue Science
- ^ The non-repetitive Kaprekar binary numbers in decimal, OEIS