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217 (number)

From Wikipedia, the free encyclopedia
This article is about the numerical value. For other uses, see217 (disambiguation).
Natural number
← 216217 218 →
Cardinaltwo hundred seventeen
Ordinal217th
(two hundred seventeenth)
Factorization7 × 31
Greek numeralΣΙΖ´
Roman numeralCCXVII,ccxvii
Binary110110012
Ternary220013
Senary10016
Octal3318
Duodecimal16112
HexadecimalD916

217 (two hundred [and] seventeen) is thenatural number following216 and preceding218.

In mathematics

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217 is acentered hexagonal number, a12-gonal number, acentered 36-gonal number, aFermat pseudoprime tobase 5, and aBlum integer.[1] It is both the sum of two positive cubes and the difference of two positive consecutive cubes in exactly one way:217=63+13=9383{\displaystyle 217=6^{3}+1^{3}=9^{3}-8^{3}}. When written in binary, it is a non-repetitiveKaprekar number.[2] It is also the sum of all thedivisors of100 and the number of week-month combinations in the Gregorian calendar (Monday the 1st, Tuesday the 2nd, Wednesday the 3rd, etc).

See also

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References

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  1. ^The Number 217, Virtue Science
  2. ^The non-repetitive Kaprekar binary numbers in decimal, OEIS
0 to 199
200 to 399
400 to 999
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