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275 (number)

From Wikipedia, the free encyclopedia
Natural number
← 274275 276 →
Cardinaltwo hundred seventy-five
Ordinal275th
(two hundred seventy-fifth)
Factorization52 × 11
Divisors1, 5, 11, 25, 55, 275
Greek numeralΣΟΕ´
Roman numeralCCLXXV,cclxxv
Binary1000100112
Ternary1010123
Senary11356
Octal4238
Duodecimal1AB12
Hexadecimal11316

275 (two hundred [and] seventy-five) is thenatural number following274 and preceding276.

In mathematics

[edit]
  • 275 is an oddcomposite number with 2 prime factors.[1]
  • 275 is equivalent to the number ofpartitions of 28 when no partition occurs only once. Partitions are thenumber of ways of writing a number as asum of otherpositive integers.[2]
  • 275 is the sum of fifthpowers of the first twoprimes (2⁵ + 3⁵ = 275).
  • 275 is the maximum number of pieces made by cutting anannulus with 22 cuts.[3]
  • 275 is the smallest nonsemiprime that follows the equations n>1 and the greatest common denominator of n and bⁿ−b is 1 for some value of b.[4]

References

[edit]
  1. ^"Composite numbers".mathworld.wolfram.com.
  2. ^"Partition information".mathworld.wolfram.com.
  3. ^Sloane, N. J. A. (ed.)."Sequence A000096".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^(sequenceA321487 in theOEIS)
0 to 199
200 to 399
400 to 999
1000s and 10,000s
1000s
10,000s
100,000s to 10,000,000,000,000s
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