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217 (number)

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Short description: Natural number
← 216 217 218 →
Cardinaltwo hundred seventeen
Ordinal217th
(two hundred seventeenth)
Factorization7 × 31
Greek numeralΣΙΖ´
Roman numeralCCXVII
Binary110110012
Ternary220013
Quaternary31214
Quinary13325
Senary10016
Octal3318
Duodecimal16112
HexadecimalD916
VigesimalAH20
Base 366136

217 (two hundred [and] seventeen) is the natural number following 216 and preceding 218.

In mathematics

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: [math]\displaystyle{ 217 = 6^3 + 1^3 = 9^3 - 8^3 }[/math]. 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

  • 217, the year

References

  1. ↑ The Number 217, Virtue Science
  2. ↑ The non-repetitive Kaprekar binary numbers in decimal, OEIS

ca:Nombre 210#Nombres del 211 al 219



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