185 (number)

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Cardinal one hundred eighty-five
Ordinal 185th
(one hundred eighty-fifth)
Factorization 5 × 37
Greek numeral ΡΠΕ´
Roman numeral CLXXXV
Binary 101110012
Ternary 202123
Senary 5056
Octal 2718
Duodecimal 13512
Hexadecimal B916

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

Contents

In mathematics

There are 185 different directed graphs on four unlabeled vertices that have at least one sink vertex, with no outgoing edges, [1] 185 ways of permuting the squares of a grid of squares in such a way that each square is one unit away from its original position horizontally, vertically, or diagonally, [2] and 185 matroids on five labeled elements in which each element participates in at least one basis. [3]

The Spiral of Theodorus Spiral of Theodorus.svg
The Spiral of Theodorus

The Spiral of Theodorus is formed by unit-length line segments 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. [4]

See also

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References

  1. ↑ Sloane, N. J. A. (ed.). "SequenceA051421(Number of digraphs on n unlabeled nodes with a sink (or, with a source))". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. ↑ Sloane, N. J. A. (ed.). "SequenceA189181(Number of nX4 array permutations with each element making a single king move)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  3. ↑ Sloane, N. J. A. (ed.). "SequenceA058712(Number of loopless matroids on n labeled points)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  4. ↑ Sloane, N. J. A. (ed.). "SequenceA137515(Maximal number of right triangles in n turns of Pythagoras's snail)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
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