175 (number)

← 174 175 176 →
Cardinalone hundred seventy-five
Ordinal175th
(one hundred seventy-fifth)
Factorization52 × 7
Divisors1, 5, 7, 25, 35, 175
Greek numeralΡΟΕ´
Roman numeralCLXXV, clxxv
Binary101011112
Ternary201113
Senary4516
Octal2578
Duodecimal12712
HexadecimalAF16

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

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.). "Sequence A032799 (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.). "Sequence A005917 (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.). "Sequence A344280 (Numbers that are both 10-gonal numbers (A001107) and 10-gonal pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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