276 (two hundred ndseventy-six) 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 275 and preceding 277.

In mathematics

276 is the sum of 3 consecutive fifth powers (276 = 1⁵ + 2⁵ + 3⁵). As a figurate number it is the 23rd

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 in ...

, 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, the third number after 1 and 6 to have this combination of properties. 276 is the first triangular number that can be arrived at in three ways by adding pairs of triangular numbers together. This sequence, dubbed 'Triple Triangle-Pair Numbers' is the sequence of integers: 276, 406, 666, ... 276 is the size of the largest set of equiangular lines 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 Er ...

, provides the highest dimension in which the "Gerzon bound" of

\binom

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. Def ...

either terminates or ends in a repeating cycle. 306 follows the same sequence as 276, since its aliquot sum is the same as 276.

In biblical studies

276 is one of the five three digit

triangular numbers 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 in ...

(along with 120, 153, 300 and 666) that are present in the New Testament (specifically, in the books of John and Acts and Revelation - 276 being mentioned in Acts 27). Menasgotz argues that it is significant that two of those five (276 along with 666) constitute the first and the third of the Triple Triangle-Pair Numbers.

References

{{Integers, 2 Integers ca:Nombre 270#Nombres del 271 al 279