276 (number)

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

Contents

← 275 276 277 →
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
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 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 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]

Related Research Articles

10 (ten) is the even natural number following 9 and preceding 11. Ten is the base of the decimal numeral system, by far the most common system of denoting numbers in both spoken and written language. It is the first double-digit number. The reason for the choice of ten is assumed to be that humans have ten fingers (digits).

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

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.

400 is the natural number following 399 and preceding 401.

500 is the natural number following 499 and preceding 501.

700 is the natural number following 699 and preceding 701.

600 is the natural number following 599 and preceding 601.

800 is the natural number following 799 and preceding 801.

900 is the natural number following 899 and preceding 901. It is the square of 30 and the sum of Euler's totient function for the first 54 positive integers. In base 10 it is a Harshad number. It is also the first number to be the square of a sphenic number.

2000 is a natural number following 1999 and preceding 2001.

3000 is the natural number following 2999 and preceding 3001. It is the smallest number requiring thirteen letters in English.

4000 is the natural number following 3999 and preceding 4001. It is a decagonal number.

135 is the natural number following 134 and preceding 136.

<span class="mw-page-title-main">1,000,000</span> Natural number

One million (1,000,000), or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001. The word is derived from the early Italian millione, from mille, "thousand", plus the augmentative suffix -one.

216 is the natural number following 215 and preceding 217. It is a cube, and is often called Plato's number, although it is not certain that this is the number intended by Plato.

230 is the natural number following 229 and preceding 231.

270 is the natural number following 269 and preceding 271.

277 is the natural number following 276 and preceding 278.

288 is the natural number following 287 and preceding 289. Because 288 = 2 · 12 · 12, it may also be called "two gross" or "two dozen dozen".

References

  1. ↑ Sloane, N. J. A. (ed.). "SequenceA000539(Sum of 5th powers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. ↑ Sloane, N. J. A. (ed.). "SequenceA254628(Triangular numbers that are also centered pentagonal numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  3. ↑ 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.
  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.). "SequenceA131884(Numbers conjectured to have an infinite, aperiodic, aliquot sequence.)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  6. ↑ . Bible hub https://biblehub.com/acts/27-37.htm . Retrieved 21 March 2023.{{cite web}}: Missing or empty |title= (help)
  7. ↑ Howlett, David (January 2002). "A miracle of Maedóc". Peritia. 16: 85–93. doi:10.1484/j.peri.3.479.
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