185 (number)

For other uses, see 185 (disambiguation).

← 184 185 186 →
← 180 181 182 183 184 185 186 187 188 189 → List of numbers Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred eighty-five
Ordinal	185th (one hundred eighty-fifth)
Factorization	5 × 37
Divisors	1, 5, 37, 185
Greek numeral	ΡΠΕ´
Roman numeral	CLXXXV, 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.

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 ${\displaystyle 2\times 4}$ 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

• All pages with titles containing 185

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.