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275 (number)

From Wikipedia, the free encyclopedia
← 274 275 276 →
Cardinaltwo hundred seventy-five
Ordinal275th
(two hundred seventy-fifth)
Factorization52 × 11
Divisors1, 5, 11, 25, 55, 275
Greek numeralΣΟΕ´
Roman numeralCCLXXV
Binary1000100112
Ternary1010123
Senary11356
Octal4238
Duodecimal1AB12
Hexadecimal11316

275 (two hundred [and] seventy-five) is the natural number following 274 and preceding 276.

In mathematics

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  • 275 is an odd composite number with 2 prime factors.[1]
  • 275 is equivalent to the number of partitions of 28 when no partition occurs only once. Partitions are the number of ways of writing a number as a sum of other positive integers.[2]
  • 275 is the sum of fifth powers of the first two primes (2^5 + 3^5 = 275).
  • 275 is the maximum number of pieces made by cutting an annulus with 22 cuts.[3]
  • 275 is the smallest non semiprime that follows the equations n>1 and the greatest common denominator of n and b^n-b is 1 for some value of b.[4]

World Records

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Other fields

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References

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  1. ^ "Composite numbers". mathworld.wolfram.com.
  2. ^ "Partition information". mathworld.wolfram.com.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A000096". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ (sequence A321487 in the OEIS)
  5. ^ "275 streak of best selling app in the itunes store". www.guinnessworldrecords.com.
  6. ^ "275 people dressed as mobile phones". www.guinnessworldrecords.com.
  7. ^ "275 person welding lesson". www.guinnessworldrecords.com.
  8. ^ "275 certificates by a show dog". www.guinnessworldrecords.com.
  9. ^ "French Republican Calendar Guide" (PDF). broadcast.lds.org.
  10. ^ "275 Sapentia information". www.spacereference.org.