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279 (number)

From Wikipedia, the free encyclopedia
Natural number
← 278279 280 →
Cardinaltwo hundred seventy-nine
Ordinal279th
(two hundred seventy-ninth)
Factorization32 × 31
Divisors1, 3, 9, 31, 93, 279
Greek numeralΣΟΘ´
Roman numeralCCLXXIX,cclxxix
Binary1000101112
Ternary1011003
Senary11436
Octal4278
Duodecimal1B312
Hexadecimal11716

279 (two hundred [and] seventy-nine) is thenatural number following278 and preceding280.

In mathematics

[edit]
  • 279 is an oddcomposite number with two prime factors.[1]
  • Waring’s Conjecture is g(n)=2n+⌊(3/2)n⌋-2. When 8 is plugged in for n, the result is 279. That means that anypositive integer can be formed with at most 279 numbers to the 8th power.[2]
  • 279 is the smallest number whoseproduct of digits is 7 times thesum of its digits.
  • 279 can be written as the sum of 4 nonzero perfect squares.[3]

References

[edit]
  1. ^"Facts about the integer".mathworld.wolfram.com.
  2. ^"Waring's Problem and Conjecture".mathworld.wolfram.com.
  3. ^Sloane, N. J. A. (ed.)."Sequence A004215 (Numbers that are the sum of 4 but no fewer nonzero squares)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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