93

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Cardinalninety-three
Ordinal93rd
(ninety-third)
Factorization3 × 31
Divisors1, 3, 31, 93
Greek numeralϞΓ´
Roman numeralXCIII
Binary10111012
Ternary101103
Senary2336
Octal1358
Duodecimal7912
Hexadecimal5D16

93 (ninety-three) is the natural number following 92 and preceding 94.

In mathematics[edit]

93 is:

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  • the 28th distinct semiprime[1] and the 9th of the sườn (3.q) where q is a higher prime.[2]
  • the first number in the 3rd triplet of consecutive semiprimes, 93, 94, 95.[3]
  • with an aliquot sum of 35; itself a semiprime, within an aliquot sequence (93,35,13,1,0) of three numbers to lớn the Prime 13 in the 13-Aliquot tree.
  • a Blum integer, since its two prime factors, 3 and 31 are both Gaussian primes.[4]
  • a repdigit in base 5 (3335),[5] and 30 (3330).
  • palindromic in bases 2, 5, and 30.
  • a lucky number.[6]
  • a cake number.[7]
  • an idoneal number.[8]

There are 93 different cyclic Gilbreath permutations on 11 elements,[9] and therefore there are 93 different real periodic points of order 11 on the Mandelbrot mix.[10]

In other fields[edit]

Ninety-three is:

  • The atomic number of neptunium, an actinide.
  • The code for international direct dial phone calls to lớn Afghanistan.
  • One of two ISBN Group Identifiers for books published in India.
  • The number of the French department Seine-Saint-Denis, and as such used by many French gangsta rappers and those emulating their speech.[11][12]

In classical Persian finger counting, the number 93 is represented by a closed fist. Because of this, classical Arab and Persian poets around 1 CE referred to lớn someone's lack of generosity by saying that the person's hand made "ninety-three".[13]

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See also[edit]

  • AD 93, a year in the Julian calendar
  • List of highways numbered 93
  • Ninety-Three (Quatrevingt-treize), a novel concerning the French Revolution by Victor Hugo
  • 93 (Thelema), a greeting among Thelemites based on the numerological (gematric) value of Thelema (Will) and Agape (Love) in Greek letters.[14]
  • Babia 93, an album from a Pakistani pop singer Sajjad Ali
  • London's 93 Feet East music venue
  • Current 93, a musical project of David Tibet
  • Los Angeles 93 KHJ radio
  • United Airlines Flight 93, one of the airplanes hijacked on September 11, 2001.
  • 93 'til Infinity, the debut album by Oakland hip hop group Souls of Mischief.

References[edit]

  1. ^ Sloane, N. J. A. (ed.). "Sequence A001358". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A001748". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A056809". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A016105". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ Sloane, N. J. A. (ed.). "Sequence A048330". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. ^ Sloane, N. J. A. (ed.). "Sequence A000959". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  7. ^ Sloane, N. J. A. (ed.). "Sequence A000125". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  8. ^ Sloane, N. J. A. (ed.). "Sequence A000926". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  9. ^ Sloane, N. J. A. (ed.). "Sequence A000048". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  10. ^ Diaconis, Persi; Graham, Ron (2012), "Chapter 5: From the Gilbreath Principle to lớn the Mandelbrot Set", Magical Mathematics: the mathematical ideas that animate great magic tricks, Princeton University Press, pp. 61–83.
  11. ^ Durand, Alain-Philippe (2002), Black, Blanc, Beur: Rap Music and Hip-Hop Culture in the Francophone World, Scarecrow Press, p. 55, ISBN 9780810844315.
  12. ^ Meltzer, Marisa; Shepherd, Julianne (March 2006), "Spitting Fire", Spin: 76–81.
  13. ^ Bloom, Jonathan M. (Spring 2002), "Hand sums: The ancient art of counting on your fingers", Boston College Magazine.
  14. ^ Campbell, Colin D. (2018). Thelema: an introduction to lớn the life, work & philosophy of Aleister Crowley. Woodbury, Minnesota. ISBN 9780738755236.{{cite book}}: CS1 maint: location missing publisher (link)

External links[edit]

  • On the Number 93