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

← 184 185 186 →
Cardinalone hundred eighty-five
Ordinal185th
(one hundred eighty-fifth)
Factorization5 × 37
Greek numeralΡΠΕ´
Roman numeralCLXXXV
Binary101110012
Ternary202123
Senary5056
Octal2718
Duodecimal13512
HexadecimalB916

In mathematics edit

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

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 edit

References edit

  1. ^ 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.
  2. ^ 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.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A058712 (Number of loopless matroids on n labeled points)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ 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.