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# 93 (number)

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 Title: 93 (number) Author: World Heritage Encyclopedia Language: English Subject: Collection: Integers Publisher: World Heritage Encyclopedia Publication Date:

### 93 (number)

 ← 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
Vigesimal 4D20
Base 36 2L36

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

## Contents

• In mathematics 1
• In other fields 2
• References 4

## In mathematics

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

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]

## References

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. ^ .
11. ^ Durand, Alain-Philippe (2002), Black, Blanc, Beur: Rap Music and Hip-Hop Culture in the Francophone World, Scarecrow Press, p. 55, .
12. ^ Meltzer, Marisa; Shepherd, Julianne (March 2006), "Spitting Fire", .
13. ^ Bloom, Jonathan M. (Spring 2002), "Hand sums: The ancient art of counting on your fingers", Boston College Magazine.