276 (number)

276 (two hundred [and] seventy-six) is the natural number following 275 and preceding 277.

Short description: Natural number

| <- 275  | 276 |  277 ->

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← 200 210 220 230 240 250 260 270 280 290 →

List of numbers — Integers

← 0 100 200 300 400 500 600 700 800 900 →

Cardinal| two hundred seventy-six
Ordinal| 276th
(two hundred seventy-sixth)
Factorization| 22 × 3 × 23
Greek numeral| ΣΟϚ´
Roman numeral| CCLXXVI
Binary| 1000101002
Ternary| 1010203
Quaternary| 101104
Quinary| 21015
Senary| 11406
Octal| 4248
Duodecimal| 1B012
Hexadecimal| 11416
Vigesimal| DG20
Base 36| 7O36

## Contents

* 1 In mathematics
* 2 In the Bible
* 3 In other fields
* 4 References

## In mathematics

276 is the sum of 3 consecutive fifth powers (276 = 15 \+ 25 \+ 35).[1] As a figurate number it is a triangular number, a hexagonal number, and a centered pentagonal number, the third number after 1 and 6 to have this combination of properties.[2]

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, provides the highest dimension in which the "Gerzon bound" of (n+12) is known to be attained; its symmetry group is the third Conway group, Co3.[3][4]

276 is the smallest number for which it is not known if the corresponding aliquot sequence either terminates or ends in a repeating cycle.[5]

## In the Bible

In Acts 27 verses 37-44 the Bible refers to 276 people on board a ship all of which made it to safety after the ship ran aground.[6]

## In other fields

In the Christian calendar, there are 276 days from the Annunciation on March 25 to Christmas on December 25, a number considered significant by some authors.[7]

## References

1. ↑ Sloane, N. J. A., ed. "Sequence A000539 (Sum of 5th powers)". OEIS Foundation. https://oeis.org/A000539.
2. ↑ Sloane, N. J. A., ed. "Sequence A254628 (Triangular numbers that are also centered pentagonal numbers)". OEIS Foundation. https://oeis.org/A254628.
3. ↑ Sloane, N. J. A., ed. "Sequence A002853 (Maximal size of a set of equiangular lines in n dimensions)". OEIS Foundation. https://oeis.org/A002853.
4. ↑ Lemmens, P. W. H.; Seidel, J. J. (1973). "Equiangular lines". Journal of Algebra 24 (3): 494–512. doi:10.1016/B978-0-12-189420-7.50017-7.
5. ↑ Sloane, N. J. A., ed. "Sequence A131884 (Numbers conjectured to have an infinite, aperiodic, aliquot sequence.)". OEIS Foundation. https://oeis.org/A131884.
6. ↑ "Acts 27:37 - the Shipwreck". Bible hub. https://biblehub.com/acts/27-37.htm.
7. ↑ Howlett, David (January 2002). "A miracle of Maedóc". Peritia 16: 85–93. doi:10.1484/j.peri.3.479.

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