93 (number)

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

← 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

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]