Jump to content

87 (number)

From Wikipedia, the free encyclopedia
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.
← 86 87 88 →
Cardinaleighty-seven
Ordinal87th
(eighty-seventh)
Factorization3 × 29
Divisors1, 3, 29, 87
Greek numeralΠΖ´
Roman numeralLXXXVII
Binary10101112
Ternary100203
Senary2236
Octal1278
Duodecimal7312
Hexadecimal5716

87 (eighty-seven) is the natural number following 86 and preceding 88.

In mathematics

87 is:

  • the sum of the squares of the first four primes (87 = 22 + 32 + 52 + 72).
  • the sum of the sums of the divisors of the first 10 positive integers.[1]
  • the thirtieth semiprime,[2] and the twenty-sixth distinct semiprime[3] and the eighth of the form (3.q).
  • together with 85 and 86,[4] forms the last semiprime in the 2nd cluster of three consecutive semiprimes; the first comprising 33, 34, 35.
  • with an aliquot sum of 33; itself a semiprime, within an aliquot sequence of five composite numbers (87,33,15,9,4,3,1,0) to the Prime in the 3-aliquot tree.
  • 5! - 4! - 3! - 2! - 1! = 87
  • the last two decimal digits of Graham's number.

In sports

In other fields

Eighty-seven is also:

See also

References

  1. ^ Sloane, N. J. A. (ed.). "Sequence A024916 (sum_{k=1..n} sigma(k) where sigma(n) = sum of divisors of n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ "A001358 - OEIS". oeis.org. Retrieved 2020-08-10.
  3. ^ "A006881 - OEIS". oeis.org. Retrieved 2020-08-10.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A056809". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ Ferris, Sam (2014-11-02). "The real story behind Australia's unlucky number 87". cricket.com.au. Retrieved 2022-01-27.
  6. ^ "Guide to model railroading scales and gauges". Model Railroader. 2 November 2011. Archived from the original on 22 June 2015. Retrieved 2 October 2016.