177 (one hundred
ndseventy-seven) is the
natural number
In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country").
Numbers used for counting are called ''cardinal ...
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.
In mathematics
It is a
Leyland number In number theory, a Leyland number is a number of the form
:x^y + y^x
where ''x'' and ''y'' are integers greater than 1. They are named after the mathematician Paul Leyland. The first few Leyland numbers are
: 8, 17, 32, 54, 57, 100, 145, 177, ...
since .
It is a 60
-gonal number In mathematics, a polygonal number is a number represented as dots or pebbles arranged in the shape of a regular polygon. The dots are thought of as alphas (units). These are one type of 2-dimensional figurate numbers.
Definition and examples
...
, and an
arithmetic number, since the
mean
There are several kinds of mean in mathematics, especially in statistics. Each mean serves to summarize a given group of data, often to better understand the overall value (magnitude and sign) of a given data set.
For a data set, the '' ari ...
of its
divisor
In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible or evenly divisible by ...
s (
1,
3,
59 and 177) is equal to
60, an
integer
An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign ( −1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the languag ...
.
177 is a
Leonardo number
The Leonardo numbers are a sequence of numbers given by the recurrence:
:
L(n) =
\begin
1 & \mbox n = 0 \\
1 & \mbox n = 1 \\
L(n - 1) + L(n - 2) + 1 & \mbox n > 1 \\
\end
Edsger ...
, part of a sequence of numbers closely related to the
Fibonacci number
In mathematics, the Fibonacci numbers, commonly denoted , form a sequence, the Fibonacci sequence, in which each number is the sum of the two preceding ones. The sequence commonly starts from 0 and 1, although some authors start the sequence from ...
s. In
graph enumeration
In combinatorics, an area of mathematics, graph enumeration describes a class of combinatorial enumeration problems in which one must count undirected or directed graphs of certain types, typically as a function of the number of vertices of the gr ...
, there are 177
undirected graph
In discrete mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related". The objects correspond to mathematical abstractions called '' ve ...
s (not necessarily connected) that have seven edges and no isolated vertices, and 177
rooted tree
In graph theory, a tree is an undirected graph in which any two vertices are connected by ''exactly one'' path, or equivalently a connected acyclic undirected graph. A forest is an undirected graph in which any two vertices are connected by ''a ...
s with ten nodes and height at most three. There are 177 ways of re-connecting the (labeled) vertices of a
regular octagon
In geometry, an octagon (from the Greek ὀκτάγωνον ''oktágōnon'', "eight angles") is an eight-sided polygon or 8-gon.
A '' regular octagon'' has Schläfli symbol and can also be constructed as a quasiregular truncated square, t, whi ...
into a
star polygon that does not use any of the octagon edges.
In other fields
177 is the second highest score for a flight of three
darts
Darts or dart-throwing is a competitive sport in which two or more players bare-handedly throw small sharp-pointed missiles known as darts at a round target known as a dartboard.
Points can be scored by hitting specific marked areas of the bo ...
, below the highest score of 180.
See also
* The year
AD 177 or
177 BC
*
List of highways numbered 177
*
References
{{Integers, 1
Integers