93 (number)

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

93
Cardinal ninety-three
Ordinal 93rd
(ninety-third)
Numeral system 93
Factorization 3 \cdot 31
Divisors 1, 3, 31, 93
Roman numeral XCIII
Binary 10111012
Octal 1358
Duodecimal 7912
Hexadecimal 5D16

Contents

[edit] In mathematics

Ninety-three is the twenty-eighth distinct semiprime and the ninth of the form (3.q). The aliquot sum of 93 is 35 within the aliquot sequence (93,35,13,1,0) 93 being the fourth composite number in the 13-aliquot tree. 93 is the first number in the third triplet of three consecutive distinct semiprimes, 93, 94 and 95.

Since its two prime factors, 3 and 31 are both Gaussian primes, this means that 93 is a Blum integer.

Given 93 the Mertens function returns 0.

There are 93 solutions to Znám's problem for length 8.

93 is a repdigit in base 5 (333).

[edit] In science

In astronomy,

Messier object M93, a magnitude 6.5 open cluster in the constellation Puppis
The New General Catalogue object NGC 93, a magnitude 13.3 spiral galaxy in the constellation Andromeda
The Saros number of the solar eclipse series which began on August 9, 29 BC and ended on 1287 October. The duration of Saros series 93 was 1316.2 years, and it contained 74 solar eclipses.
The Saros number of the lunar eclipse series which began on 291 May and ended on 1571 July. The duration of Saros series 93 was 1280.1 years, and it contained 72 lunar eclipses.

[edit] In other fields

Ninety-three is also:

[edit] In sports

[edit] See also

List of highways numbered 93

[edit] External links

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