177 (number)

177 (one hundred [and] seventy-seven) is the natural number following 176 and preceding 178.

For other topics, see 177 (disambiguation).
← 176 177 178 →
Cardinalone hundred seventy-seven
Ordinal177th
(one hundred seventy-seventh)
Factorization3 × 59
Divisors1, 3, 59, 177
Greek numeralΡΟΖ´
Roman numeralCLXXVII
Binary101100012
Ternary201203
Senary4536
Octal2618
Duodecimal12912
HexadecimalB116

In mathematics

It is a Leyland number since 177 = 27 + 72.[1]

It is a 60-gonal number,[2] and an arithmetic number,[3] since the mean of its divisors (1, 3, 59 and 177) is equal to 60, an integer.

177 is a Leonardo number, part of a sequence of numbers closely related to the Fibonacci numbers.[4] In graph enumeration, there are 177 undirected graphs (not necessarily connected) that have seven edges and no isolated vertices,[5] and 177 rooted trees with ten nodes and height at most three.[6] There are 177 ways of re-connecting the (labeled) vertices of a regular octagon into a star polygon that does not use any of the octagon edges.[7]

In other fields

177 is the second highest score for a flight of three darts, below the highest score of 180.[8]

See also

References
  1. Sloane, N. J. A. (ed.). "Sequence A076980 (Leyland numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. Sloane, N. J. A. (ed.). "Sequence A249911 (60-gonal number)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. Sloane, N. J. A. (ed.). "Sequence A003601 (Numbers n such that the average of the divisors of n is an integer)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. Sloane, N. J. A. (ed.). "Sequence A001595". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. Sloane, N. J. A. (ed.). "Sequence A000664 (Number of graphs with n edges)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. Sloane, N. J. A. (ed.). "Sequence A001383 (Number of n-node rooted trees of height at most 3)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  7. Sloane, N. J. A. (ed.). "Sequence A002816 (Number of polygons that can be formed from n points on a circle, no two adjacent)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  8. "Pub quiz". Tes Magazine. February 9, 2007. Retrieved 2022-06-27.
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