117 (one hundred
ndseventeen) is the
natural number
In mathematics, the natural numbers are the numbers 0, 1, 2, 3, and so on, possibly excluding 0. Some start counting with 0, defining the natural numbers as the non-negative integers , while others start with 1, defining them as the positive in ...
following
116 and preceding
118.
In mathematics
117 is the smallest possible length of the longest edge of an integer
Heronian tetrahedron
A Heronian tetrahedron (also called a Heron tetrahedron or perfect pyramid) is a tetrahedron whose edge lengths, face areas and volume are all integers. The faces must therefore all be Heronian triangles (named for Hero of Alexandria).
Every Heroni ...
(a tetrahedron whose edge lengths, face areas and volume are all integers). Its other edge lengths are 51, 52, 53, 80 and 84.
117 is a
pentagonal number
A pentagonal number is a figurate number that extends the concept of triangular number, triangular and square numbers to the pentagon, but, unlike the first two, the patterns involved in the construction of pentagonal numbers are not rotational ...
.
In other fields
117 can be a substitute for the number
17, which is
considered unlucky in
Italy
Italy, officially the Italian Republic, is a country in Southern Europe, Southern and Western Europe, Western Europe. It consists of Italian Peninsula, a peninsula that extends into the Mediterranean Sea, with the Alps on its northern land b ...
. When
Renault
Renault S.A., commonly referred to as Groupe Renault ( , , , also known as the Renault Group in English), is a French Multinational corporation, multinational Automotive industry, automobile manufacturer established in 1899. The company curr ...
exported the
R17 to Italy, it was renamed R117.
In the
Danish language
Danish (, ; , ) is a North Germanic languages, North Germanic language from the Indo-European languages, Indo-European language family spoken by about six million people, principally in and around Denmark. Communities of Danish speakers are a ...
the number 117 () is often used as a
hyperbolic
Hyperbolic may refer to:
* of or pertaining to a hyperbola, a type of smooth curve lying in a plane in mathematics
** Hyperbolic geometry, a non-Euclidean geometry
** Hyperbolic functions, analogues of ordinary trigonometric functions, defined u ...
term to represent an arbitrary but large number.
See also
*
117 (disambiguation)
References
Integers
{{Num-stub