171 (number)

Source: Wikipedia, the free encyclopedia.
← 170 171 172 →
Cardinalone hundred seventy-one
Ordinal171st
(one hundred seventy-first)
Factorization32 × 19
Divisors1, 3, 9, 19, 57, 171
Greek numeralΡΟΑ´
Roman numeralCLXXI
Binary101010112
Ternary201003
Senary4436
Octal2538
Duodecimal12312
HexadecimalAB16

171 (one hundred [and] seventy-one) is the natural number following 170 and preceding 172.

In mathematics

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]

There are 171

dual polytope.[6]

Within

is defined as having cyclic groups ⟩ that are linked with the function,

where is the character of at .

This generates 171 moonshine groups within associated with that are principal moduli for different genus zero congruence groups commensurable with the projective linear group .[7]

See also

References

  1. ^ Sloane, N. J. A. (ed.). "Sequence A000217 (Triangular numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A001045 (Jacobsthal sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A006905 (Number of transitive relations on n labeled nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. S2CID 54136193
    .
  5. ^ 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.
  6. S2CID 115688843
    .
  7. .