276 (two hundred
ndseventy-six) 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
275
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Year 275 ( CCLXXV) was a common year starting on Friday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Aurelianus and Marcellinus (or, less frequently, year 10 ...
and preceding
277.
In mathematics
276 is the sum of 3 consecutive fifth powers (276 = 1
5 + 2
5 + 3
5). As a
figurate number
The term figurate number is used by different writers for members of different sets of numbers, generalizing from triangular numbers to different shapes (polygonal numbers) and different dimensions (polyhedral numbers). The term can mean
* polyg ...
it is a
triangular number
A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The th triangular number is the number of dots i ...
, a
hexagonal number
A hexagonal number is a figurate number. The ''n''th hexagonal number ''h'n'' is the number of ''distinct'' dots in a pattern of dots consisting of the ''outlines'' of regular hexagons with sides up to n dots, when the hexagons are overlaid so ...
, and a
centered pentagonal number
A centered pentagonal number is a centered figurate number that represents a pentagon with a dot in the center and all other dots surrounding the center in successive pentagonal layers. The centered pentagonal number for ''n'' is given by th ...
, the third number after 1 and 6 to have this combination of properties.
276 is the size of the largest set of
equiangular lines In geometry, a set of lines is called equiangular if all the lines intersect at a single point, and every pair of lines makes the same angle.
Equiangular lines in Euclidean space
Computing the maximum number of equiangular lines in ''n''-dimensi ...
in 23 dimensions. The maximal set of such lines, derived from the
Leech lattice
In mathematics, the Leech lattice is an even unimodular lattice Λ24 in 24-dimensional Euclidean space, which is one of the best models for the kissing number problem. It was discovered by . It may also have been discovered (but not published) by ...
, provides the highest dimension in which the "Gerzon bound" of
is known to be attained; its symmetry group is the
third Conway group, Co3.
276 is the smallest number for which it is not known if the corresponding
aliquot sequence
In mathematics, an aliquot sequence is a sequence of positive integers in which each term is the sum of the proper divisors of the previous term. If the sequence reaches the number 1, it ends, since the sum of the proper divisors of 1 is 0.
Defi ...
either terminates or ends in a repeating cycle.
In other fields
In the
Christian calendar
The Gregorian calendar is the calendar used in most parts of the world. It was introduced in October 1582 by Pope Gregory XIII as a modification of, and replacement for, the Julian calendar. The principal change was to space leap years dif ...
, there are 276 days from the
Annunciation on March 25 to
Christmas
Christmas is an annual festival commemorating the birth of Jesus Christ, observed primarily on December 25 as a religious and cultural celebration among billions of people around the world. A feast central to the Christian liturgical year ...
on December 25, a number considered significant by some authors.
See also
*The years
276 and
276 BC
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Year 276 BC was a year of the pre-Julian Roman calendar. At the time it was known as the Year of the Consulship of Gurges and Clepsina (or, less frequently, year 478 '' Ab urbe condita''). The denomination 276 BC for this year has been ...
*
List of highways numbered 276
*
References
{{Integers, 2
Integers
ca:Nombre 270#Nombres del 271 al 279