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
Octal 1358
Duodecimal 7912
Hexadecimal 5D16
Vigesimal 4D20
Base 36 2L36

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

Contents

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]