175 (number)

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174 175 176
Cardinal one hundred seventy-five
Ordinal 175th
(one hundred seventy-fifth)
Factorization 52 × 7
Divisors 1, 5, 7, 25, 35, 175
Greek numeral ΡΟΕ´
Roman numeral CLXXV, clxxv
Binary 101011112
Ternary 201113
Senary 4516
Octal 2578
Duodecimal 12712
Hexadecimal AF16

175 (one hundred [and] seventy-five) is the natural number following 174 and preceding 176.

Contents

In mathematics

Raising the decimal digits of 175 to the powers of successive integers produces 175 back again: 175 = 11 + 72 + 53. [1]

175 is a figurate number for a rhombic dodecahedron, the difference of two consecutive fourth powers: 175 = 44 34. [2] It is also a decagonal number and a decagonal pyramid number, the smallest number after 1 that has both properties. [3]

See also

References

  1. Sloane, N. J. A. (ed.). "SequenceA032799(Numbers n such that n equals the sum of its digits raised to the consecutive powers (1,2,3,...))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. Sloane, N. J. A. (ed.). "SequenceA005917(Rhombic dodecahedral numbers: a(n) = n^4 - (n - 1)^4)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  3. Sloane, N. J. A. (ed.). "SequenceA344280(Numbers that are both 10-gonal numbers (A001107) and 10-gonal pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.