171 (one hundred [and] seventy-one) is the natural number following 170 and preceding 172.
| ||||
|---|---|---|---|---|
| Cardinal | one hundred seventy-one | |||
| Ordinal | 171st (one hundred seventy-first) | |||
| Factorization | 32 × 19 | |||
| Divisors | 1, 3, 9, 19, 57, 171 | |||
| Greek numeral | ΡΟΑ´ | |||
| Roman numeral | CLXXI | |||
| Binary | 101010112 | |||
| Ternary | 201003 | |||
| Octal | 2538 | |||
| Duodecimal | 12312 | |||
| Hexadecimal | AB16 | |||
In mathematicsEdit
171 is a triangular number[1] and a Jacobsthal number.[2]
There are 171 transitive relations on three labeled elements,[3] and 171 combinatorially distinct ways of subdividing a cuboid by flat cuts into a mesh of tetrahedra, without adding extra vertices.[4] The diagonals of a regular decagon meet at 171 points, including both crossings and the vertices of the decagon.[5]
See alsoEdit
- The year AD 171 or 171 BC
- List of highways numbered 171
- All pages with titles containing 171
ReferencesEdit
- ^ Sloane, N. J. A. (ed.). "Sequence A000217 (Triangular numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A001045 (Jacobsthal sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A006905 (Number of transitive relations on n labeled nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Pellerin, Jeanne; Verhetsel, Kilian; Remacle, Jean-François (December 2018). "There are 174 subdivisions of the hexahedron into tetrahedra". ACM Transactions on Graphics. 37 (6): 1–9. arXiv:1801.01288. doi:10.1145/3272127.3275037.
- ^ Sloane, N. J. A. (ed.). "Sequence A007569 (Number of nodes in regular n-gon with all diagonals drawn)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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