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89 (number)

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

← 88 89 90 →
Cardinaleighty-nine
Ordinalth
Numeral system89
Factorization89
Prime24th
Divisors1, 89
Greek numeralΠΘ´
Roman numeralLXXXIX
Binary10110012
Ternary100223
Senary2256
Octal1318
Duodecimal7512
Hexadecimal5916

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 .

89 is a Fibonacci number. The first few digits of its reciprocal coincide with the Fibonacci sequence due to the identity

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

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. The palindrome reached is also unusually large.[1]

In science

In astronomy

In sports

In other fields

TI-89

Eighty-nine is also:

See also

References

  1. ^ Weisstein, Eric W. "196-Algorithm." From MathWorld, a Wolfram Web Resource. http://mathworld.wolfram.com/196-Algorithm.html
  2. ^ http://www.informationisbeautiful.net/ retrieved 16 January 2010[dead link]