89 (number) Article Index for
89
 

Information About

89 (number)






Cardinal 89
eighty-nine
Ordinal 89th
eighty-ninth
Factorization prime
Roman Numeral LXXXIX
Binary 01011001
Hexadecimal 59



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):

rac{1}{89}=\sum_{n=1}^\infty{F(n) imes 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 .


IN ASTRONOMY



IN OTHER FIELDS

Eighty-nine is also: