92 (number)

From HandWiki
Short description: Natural number
← 91 92 93 →
Cardinalninety-two
Ordinal92nd
(ninety-second)
Factorization22 × 23
Divisors1, 2, 4, 23, 46, 92
Greek numeralϞΒ´
Roman numeralXCII
Binary10111002
Ternary101023
Quaternary11304
Quinary3325
Senary2326
Octal1348
Duodecimal7812
Hexadecimal5C16
Vigesimal4C20
Base 362K36

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

In mathematics

92 is a composite number; a square-prime, of the general form (p2, q) where q is a higher prime. It is the tenth of this form and the eighth of the form (22.q).

92 is the eighth pentagonal number,[1] and an Erdős–Woods number, since it is possible to find sequences of 92 consecutive integers such that each inner member shares a factor with either the first or the last member.[2]

With an aliquot sum of 76; itself a square-prime, within an aliquot sequence of five composite numbers (92,76,64,63,1,0) to the prime in the 63-aliquot tree.

For [math]\displaystyle{ n = 8 }[/math], there are 92 solutions in the n-Queens Problem.

There are 92 "atomic elements" in John Conway's look-and-say sequence, corresponding to the 92 non-transuranic elements in the chemist's periodic table.

92 is palindromic in bases 6 (2326), 7 (1617), 22 (4422), and 45 (2245).

The most faces or vertices an Archimedean or Catalan solid can have is 92: the snub dodecahedron has 92 faces while its dual polyhedron, the pentagonal hexecontahedron, has 92 vertices.

As a simple polyhedron, the final stellation of the icosahedron has 92 vertices.

There are 92 Johnson solids.

In science

In other fields

Ninety-two is also:

  • The code for international direct dial phone calls to Pakistan .
  • The numeric code for the Hauts-de-Seine department of France . The number is reflected in the department's postal code, plus the names of at least three local sports clubs, specifically Racing 92 in rugby union and Metropolitans 92 and Nanterre 92 in basketball.
  • In the title of the book Ninety-two in the Shade, by Thomas McGuane.
  • The 92nd Tiger book by Michael Gilbert.
  • The House on 92nd Street, a 1945 film.
  • The model number of the gray Texas Instruments TI-92 graphing calculator.
  • The Beretta 92 series of semi-automatic pistols.
  • The "Illustrious 92" or "Glorious 92": Massachusetts legislators who refused to rescind the Massachusetts Circular Letter soliciting other British colonies' support in resistance to the Townshend Acts prior to the American Revolution. Analogous to the number 45 in reference to the protests of John Wilkes against British corruption.
  • The ISBN Group Identifier for books published by international publishers such as UNESCO.
  • The number which runs through almost every single of British film-maker Peter Greenaway's films. This number has special association with the fictional character of Greenaway's creation, Tulse Luper. It is said the number itself is based on a mathematical error in calculations concerning John Cage's work Indeterminacy. See The Falls for extensive use of this number.
  • "92", a song by Avail from their 1996 album 4am Friday.
  • STS-92 Space Shuttle Discovery mission, on October 11, 2000, to the International Space Station.
  • According to Guinness World Records, Taumatawhakatangihangakoauauotamateaurehaeaturipukakapikimaungahoronukupokaiwhenuakitanatahu is the longer version of the longest place name in the world, with 92 letters.
  • The 92nd Street Y in Manhattan.

Vehicles

In sports

  • The 92 Club is a society of association football fans who have attended a home match of all 92 current member clubs of the Premier League and English Football League in England and Wales.

See also

  • List of highways numbered 92

References

  1. ↑ "Sloane's A000326 : Pentagonal numbers". OEIS Foundation. https://oeis.org/A000326. 
  2. ↑ "Sloane's A059756 : Erdős-Woods numbers". OEIS Foundation. https://oeis.org/A059756. 



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