185 (one hundred [and] eighty-five) is the natural number following 184 and preceding 186.
| ||||
|---|---|---|---|---|
| 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 | |||
In mathematics
editThere 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 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]
185 is the smallest base b without algebraic factorisation of generalized repunits for which no generalized repunit primes are known.[5] It is known that the generalized repunit number is composite for all prime p < 350,000.[5]
See also
editReferences
edit- ↑ 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.
- ↑ 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.
- ↑ Sloane, N. J. A. (ed.). "Sequence A058712 (Number of loopless matroids on n labeled points)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ 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.
- 1 2 "Allgemeine Repunit-Primzahlen". Fermat Quotient (in German).
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