185 (number)

← 184 185 186 →
Cardinalone hundred eighty-five
Ordinal185th
(one hundred eighty-fifth)
Factorization5 × 37
Divisors1, 5, 37, 185
Greek numeralΡΠΕ´
Roman numeralCLXXXV
Binary101110012
Ternary202123
Quaternary23214
Quinary12205
Senary5056
Octal2718
Duodecimal13512
HexadecimalB916
Vigesimal9520
Base 365536

185 (one hundred [and] eighty-five) is the natural number after 184 and before 186.

In mathematics

Basic Properties

185 is an odd number. Its prime factorization is 5 * 37 meaning that 185 is a composite number.

Complex properties

There are 185 different directed graphs on four unlabeled vertices that have at least one sink vertex, with no pointing edges, 185 ways of changing the order of the squares of a grid of squares in a way that each square is one unit away from its original position horizontally, vertically, or diagonally, and 185 matroids on five labeled elements in which each element takes part in at least one basis.

185 is the smallest base b without algebraic factorisation of generalized repunits for no generalized repunit primes are known. It is known that the generalized repunit number is composite for all prime p < 350,000.

The Spiral of Theodorus

The Spiral of Theodorus is formed by unit-length line pieces that, together with the center point of the spiral, form right triangles. 185 of these right triangles fit within the first four turns of this spiral.

Notes

  1. ↑ The bracketed word means it's used in British English.

References

  1. ↑ Vanovschi, Vitalii. "Properties of the number 185". www.numberempire.com. Retrieved 2026-08-23.
  2. ↑ Sloane, N. J. A. (ed.). "Sequence A051421 (Number of digraphs on n unlabeled nodes with a sink (or, with a source))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ↑ Sloane, N. J. A. (ed.). "Sequence A189181 (Number of nX4 array permutations with each element making a single king move)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ↑ Sloane, N. J. A. (ed.). "Sequence A058712 (Number of loopless matroids on n labeled points)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. 1 2 "Allgemeine Repunit-Primzahlen". Fermat Quotient (in German).
  6. ↑ Sloane, N. J. A. (ed.). "Sequence A137515 (Maximal number of right triangles in n turns of Pythagoras's snail)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.