Английская Википедия:177 (number)
Шаблон:For Шаблон:Infobox number 177 (one hundred [and] seventy-seven) is the natural number following 176 and preceding 178.
In mathematics
One hundred and seventy-seven is the ninth Leyland number, where[1]
<math display="block">177 = 2^7 + 7^2.</math>
The fifty-seventh semiprime is 177 (after the square of 13),[2] and it is the fifty-first semiprime with distinct prime factors.[3]Шаблон:Efn
The magic constant <math>M</math> of the smallest full <math>3 \times 3</math> magic square consisting of distinct primes is 177:[4][5]Шаблон:Efn
47 | 89 | 101 |
113 | 59 | 5 |
17 | 29 | 71 |
Where the central cell <math>\text { } 59 = \tfrac {177}{3}\text { }</math> represents the seventeenth prime number,[6] and seventh super-prime;[7] equal to the sum of all prime numbers up to 17, including one: <math>1 + 2 + 3 + 5 + 7 + 11 + 13 + 17 = 59.</math>
177 is also an arithmetic number, whose <math>\sigma_0</math> holds an integer arithmetic mean of <math>60</math> — it is the one hundred and nineteenth indexed member in this sequence,[8] where <math>\text { }59 + 60 = 119.</math> The first non-trivial 60-gonal number is 177.[9]Шаблон:Efn
177 is the tenth Leonardo number, part of a sequence of numbers closely related to the Fibonacci numbers.[10]
In graph enumeration, there are
- 177 rooted trees with 10 nodes and height at most 3,[11]
- 177 undirected graphs (not necessarily connected) that have 7 edges and no isolated vertices.[12]
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.[13]
In other fields
177 is the second highest score for a flight of three darts, below the highest score of 180.[14]
See also
Notes
References
Шаблон:Commons category Шаблон:Integers
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