93 (number)

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92 93 94
Cardinal ninety-three
Ordinal 93rd
(ninety-third)
Factorization 3 × 31
Divisors 1, 3, 31, 93
Roman numeral XCIII
Binary 10111012
Ternary 101103
Quaternary 11314
Quinary 3335
Senary 2336
Octal 1358
Duodecimal 7912
Hexadecimal 5D16
Vigesimal 4D20
Base 36 2L36

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

In mathematics[edit]

93 is the twenty-eighth distinct semiprime[1] and the ninth of the form (3.q).[2] It is the first number in the third triplet of consecutive semiprimes, 93, 94, and 95.[3] Since its two prime factors, 3 and 31 are both Gaussian primes, this means that 93 is a Blum integer.[4]

93 is a repdigit in base 5 (333).[5] It is a lucky number[6] a cake number,[7] and 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 set.[10]

In other fields[edit]

Ninety-three is:

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 someone's lack of generosity by saying that the person's hand made "ninety-three".[13]

See also[edit]

References[edit]

  1. ^ "Sloane's A001358 ", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ "Sloane's A001748 ", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ "Sloane's A056809 ", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ "Sloane's A016105 ", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ "Sloane's A048330 ", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. ^ "Sloane's A000959 ", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  7. ^ "Sloane's A000125 ", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  8. ^ "Sloane's A000926 ", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  9. ^ "Sloane's A000048 ", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  10. ^ Diaconis, Persi; Graham, Ron (2012), "Chapter 5: From the Gilbreath Principle to 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 .

External links[edit]