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91 (number)

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91 (ninety-one) is the natural number following 90 and preceding 92.

Cardinal 91
ninety-one
Ordinal 91st
ninety-first
Factorization[7 \cdot 13]
Roman numeralXCI
Binary1011011
Hexadecimal5B

In mathematics

Ninety-one is a triangular number and a hexagonal number, one of the few such numbers to also be a centered hexagonal number, and it is also a centered nonagonal number and a centered cube number. It is the sum of the squares of the first six integers.

It is also the lowest natural number which looks prime but isn't, because neither of its factors 7 and 13 have simple divisibility tests.

It is the smallest positive integer expressible as a sum of two cubes in two different ways if negative roots are allowed: 91 = 63+(-5)3 = 43+33. (See 1729 for more details).

It is also the smallest pseudoprime satisfying the congruence 3n = 3 mod n.

91 is a repdigit in base 9 (111).

In science

In astronomy,

Messier object M91, a magnitude 11.5 spiral galaxy in the constellation Coma Berenices
The New General Catalogue [object] NGC 91, a single star in the constellation Andromeda
The Saros [number] of the solar eclipse series which began on August 6 159 BC and ended on 1175 October 16. The duration of Saros series 91 was 1334.2 years, and it contained 75 solar eclipses.
The Saros [number] of the lunar eclipse series which began on 161 May 26 and ended on 1459 July 15. The duration of Saros series 91 was 1298.1 years, and it contained 73 lunar eclipses.

In other fields

Ninety-one is also:

 


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