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89 (eighty-nine) is the natural number following 88 and preceding 90.

Cardinal89
eighty-nine
Ordinal89th
eighty-ninth
Factorizationprime
Roman numeralLXXXIX
Binary01011001
Hexadecimal59

In mathematics


Eighty-nine is the 24th prime number, following 83 and preceding 97. 89 is a Chen prime. It is the smallest Sophie Germain prime to start a Cunningham chain of the first kind of six terms, {89, 179, 359, 719, 1439, 2879}. 89 is an Eisenstein prime with no imaginary part and real part of the form 3n - 1.

89 is a Fibonacci number. Its reciprocal has a curious relationship to the Fibonacci sequence F(n):

\frac{1}{89}=\sum_{n=1}^\infty{F(n)\times 10^{-(n+1)}}=0.011235955...

89 is also a Markov number, appearing in solutions to the Markov Diophantine equation with other odd-indexed Fibonacci numbers.

Being the solution to x - φ(x) more often than any lower number, 89 is a highly cototient number.

Although 89 is not a Lychrel number in base 10, it is unusual that it takes 24 iterations of the reverse and add process to reach a palindrome. Among the known non-Lychrel numbers in the first 10000 integers, no other number requires that many or more iterations.

In astronomy


Eighty-nine is also:

Integers

Ochenta y nueve | Okdek naŭ | 89 (nombre) | 89 | 89 | Ottantanove | 89 (skaičius) | 89 (getal) | 89 | Oitenta e nove | 89 (число) | 89 (število) | 89 (tal) | 89

 

This article is licensed under the GNU Free Documentation License. It uses material from the "89 (number)".

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