276 (number)

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

← 275 276 277 →
Cardinal two hundred seventy-six
Ordinal 276th
(two hundred seventy-sixth)
Factorization 22 × 3 × 23
Greek numeral ΣΟϚ´
Roman numeral CCLXXVI, cclxxvi
Binary 1000101002
Ternary 1010203
Senary 11406
Octal 4248
Duodecimal 1B012
Hexadecimal 11416

In mathematics

276 is the sum of 3 consecutive fifth powers (276 = 15 + 25 + 35). [1] As a figurate number it is the 23rd triangular number, [2] a hexagonal number, and a centered pentagonal number, the third number after 1 and 6 to have this combination of properties. [3]

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 is known to be attained; its symmetry group is the third Conway group, Co3. [4] [5]

276 is the smallest number for which it is not known if the corresponding aliquot sequence either terminates or ends in a repeating cycle. [6] [7] 306 follows the same sequence as 276, since its aliquot sum is the same as 276.

Related Research Articles

15 (fifteen) is the natural number following 14 and preceding 16.

21 (twenty-one) is the natural number following 20 and preceding 22.

33 (thirty-three) is the natural number following 32 and preceding 34.

70 (seventy) is the natural number following 69 and preceding 71.

90 (ninety) is the natural number following 89 and preceding 91.

25 (twenty-five) is the natural number following 24 and preceding 26.

35 (thirty-five) is the natural number following 34 and preceding 36

32 (thirty-two) is the natural number following 31 and preceding 33.

46 46(forty-six) is the natural number following 45 and preceding 47.

64 (sixty-four) is the natural number following 63 and preceding 65.

91 (ninety-one) is the natural number following 90 and preceding 92.

92 (ninety-two) is the natural number following 91 and preceding 93

1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.

300 is the natural number following 299 and preceding 301.

500 is the natural number following 499 and preceding 501.

600 is the natural number following 599 and preceding 601.

2000 is a natural number following 1999 and preceding 2001.

60,000 is the natural number that comes after 59,999 and before 60,001. It is a round number. It is the value of (75025).

888 is the natural number following 887 and preceding 889.

14 (fourteen) is the natural number following 13 and preceding 15.

References

  1. ↑ Sloane, N. J. A. (ed.). "SequenceA000539(Sum of 5th powers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. ↑ "A000217 - OEIS". oeis.org. Retrieved 2024-11-28.
  3. ↑ Sloane, N. J. A. (ed.). "SequenceA254628(Triangular numbers that are also centered pentagonal numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  4. ↑ Sloane, N. J. A. (ed.). "SequenceA002853(Maximal size of a set of equiangular lines in n dimensions)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  5. ↑ 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.
  6. ↑ Sloane, N. J. A. (ed.). "SequenceA131884(Numbers conjectured to have an infinite, aperiodic, aliquot sequence.)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  7. ↑ "An amazing thing about 276". YouTube. Numberphile. 2024-03-06. Retrieved 2024-05-21.
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