89 (number)

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

89
Cardinal eighty-nine
Ordinal 89th
(eighty-ninth)
Numeral system 89
Factorization 89
Prime 24th
Divisors 1, 89
Roman numeral LXXXIX
Binary 10110012
Octal 1318
Duodecimal 7512
Hexadecimal 5916

Contents

[edit] 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. The first few digits of its reciprocal coincide with the Fibonacci sequence due to the identity

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

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]

[edit] In science

[edit] In astronomy

[edit] In other fields

Eighty-nine is also:

  • Part of the name of the baseball team Oklahoma City 89ers (1962–1997)
  • The designation of Interstate 89, a freeway that runs from New Hampshire to Vermont
  • The designation of U.S. Route 89, a north-south highway that runs from Montana to Arizona
  • The ISBN Group Identifier for books published in Korea
  • Pop Song 89
  • The year AD 89, 89 BC
  • California Proposition 89, a 2006 California ballot initiative on campaign finance reform
  • The Oklahoma Redhawks were formerly known as the Oklahoma 89ers.
  • In Rugby, an "89" or eight-nine move is a phase following a scrum, in which the number 8 catches the ball and transfers it to number 9 (scrum half).
  • The greatest number of verses in a chapter of a book of the Bible other than the Book of Psalms—specifically Numbers chapter 7.
  • The number of units of each colour in the board game Blokus
  • The number of the French department Yonne
  • Information Is Beautiful cites eighty-nine as one of the words censored on the Chinese Internet.[2]

[edit] See also

[edit] 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]
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