177 (one hundred ndseventy-seven) is the natural number following

176 Year 176 ( CLXXVI) was a leap year starting on Sunday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Proculus and Aper (or, less frequently, year 929 ''Ab urbe condita'' ...

and preceding

178 Year 178 ( CLXXVIII) was a common year starting on Wednesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Scipio and Rufus (or, less frequently, year 931 ''Ab urbe cond ...

In mathematics

It is a Leyland number since . It is a 60 -gonal number, and an

arithmetic number In number theory, an arithmetic number is an integer for which the average of its positive divisors is also an integer. For instance, 6 is an arithmetic number because the average of its divisors is :\frac=3, which is also an integer. However, 2 ...

, 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. In graph enumeration, there are 177 undirected graphs (not necessarily connected) that have seven edges and no isolated vertices, and 177 rooted trees with ten nodes and height at most three. There are 177 ways of re-connecting the (labeled) vertices of a regular octagon into a

star polygon In geometry, a star polygon is a type of non-convex polygon. Regular star polygons have been studied in depth; while star polygons in general appear not to have been formally defined, certain notable ones can arise through truncation operations ...

that does not use any of the octagon edges.

In other fields

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

References

{{Integers, 1 Integers

In mathematics

In other fields

See also

References