93 (number)

← 92 93 94 →
← 90 91 92 93 94 95 96 97 98 99 → List of numbers Integers ← 0 10 20 30 40 50 60 70 80 90 →
Cardinal	ninety-three
Ordinal	93rd (ninety-third)
Factorization	3 × 31
Divisors	1, 3, 31, 93
Greek numeral	ϞΓ´
Roman numeral	XCIII, xciii
Binary	10111012
Ternary	101103
Senary	2336
Octal	1358
Duodecimal	7912
Hexadecimal	5D16

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

In mathematics

93 is:

• the 28th distinct semiprime ^[1] and the 9th of the form (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 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 set. ^[10]

In other fields

Ninety-three is:

• The atomic number of neptunium, an actinide.
• The code for international direct dial phone calls to Afghanistan.
• The number of the FIRST Robotics team, NEW Apple Corps. ^[11]
• One of two ISBN Group Identifiers for books published in India.
• The number of the French department Seine-Saint-Denis, a Paris suburb with high proportions of immigrants and low-income people, and as such used by many French rappers and those emulating their speech. ^{[12] [13]}

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". ^[14]

See also

• 93 (Thelema), a greeting among Thelemites based on the numerological (gematric) value of Thelema (Will) and Agape (Love) in Greek letters. ^[15]

References

1. Sloane, N. J. A. (ed.). "SequenceA001358". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
2. Sloane, N. J. A. (ed.). "SequenceA001748". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
3. Sloane, N. J. A. (ed.). "SequenceA056809". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
4. Sloane, N. J. A. (ed.). "SequenceA016105". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
5. Sloane, N. J. A. (ed.). "SequenceA048330". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
6. Sloane, N. J. A. (ed.). "SequenceA000959". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
7. Sloane, N. J. A. (ed.). "SequenceA000125". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
8. Sloane, N. J. A. (ed.). "SequenceA000926". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
9. Sloane, N. J. A. (ed.). "SequenceA000048". 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. "Home | nacteam93.com". nacteam93.com. Archived from the original on 2016-02-09. Retrieved 2025-01-07.
12. Durand, Alain-Philippe (2002), Black, Blanc, Beur: Rap Music and Hip-Hop Culture in the Francophone World, Scarecrow Press, p. 55, ISBN   9780810844315 .
13. Meltzer, Marisa; Shepherd, Julianne (March 2006), "Spitting Fire", Spin : 76–81.
14. Bloom, Jonathan M. (Spring 2002), "Hand sums: The ancient art of counting on your fingers", Boston College Magazine.
15. Campbell, Colin D. (2018). Thelema: an introduction to the life, work & philosophy of Aleister Crowley. Woodbury, Minnesota. ISBN   9780738755236.