81 (number): Difference between revisions

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{{examplefarm|date=March 2010}}
{{Infobox number
| number = 89
| factorization = [[prime number|prime]]
| prime = 24th
| divisor = 1, 89
}}
'''89''' ('''eighty-nine''') is the [[natural number]] following [[88 (number)|88]] and preceding [[90 (number)|90]].
 
== In mathematics ==
'''Eighty-nine''' is the 24th [[prime number]], following [[83 (number)|83]] and preceding [[97 (number)|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 <math>3n - 1</math>. ''M''<sub>89</sub> is the 10<sup>th</sup> [[Mersenne prime]].
 
89 is a [[Fibonacci number]] and thus a [[Fibonacci prime]] as well. The first few digits of its reciprocal coincide with the Fibonacci sequence due to the identity
:<math>\frac{1}{89}=\sum_{n=1}^\infty{F(n)\times 10^{-(n+1)}}=0.011235955\dots\ .</math>
 
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.<ref>Weisstein, Eric W. "196-Algorithm." From MathWorld, a Wolfram Web Resource. [http://mathworld.wolfram.com/196-Algorithm.html http://mathworld.wolfram.com/196-Algorithm.html]</ref>
 
==In science==
 
*The [[atomic number]] of [[actinium]].
 
===In astronomy===
*[[Messier object]] [[Messier 89|M89]], a [[visual magnitude|magnitude]] 11.5 [[elliptical galaxy]] in the [[constellation]] [[Virgo (constellation)|Virgo]].
*The [[New General Catalogue]] [http://www.ngcic.com/ object] [[NGC 89]], a magnitude 13.5 [[peculiar galaxy|peculiar]] [[spiral galaxy]] in the constellation [[Phoenix (constellation)|Phoenix]] and a member of [[Robert's Quartet]].
 
== In sports ==
* The [[Oklahoma Redhawks]], an American [[minor league baseball]] team, were formerly known as the Oklahoma 89ers (1962–1997). The number alludes to the [[Land Run of 1889]], when the [[Unassigned Lands]] of Oklahoma were opened to [[White American|white]] settlement. The team's home of [[Oklahoma City]] was founded during this event.
* In [[List of rugby union terms|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 [[Elite 89 Award]] is presented by the U.S. [[National Collegiate Athletic Association|NCAA]] to the participant in each of the NCAA's [[National Collegiate Athletic Association#Championships|89 championship finals]] with the highest [[grade point average]].
*The [[Number (sports)|jersey number]] 89 has been retired by two [[National Football League]] teams in honor of past playing greats:
** The Baltimore Colts, for [[Pro Football Hall of Fame|Hall of Famer]] [[Gino Marchetti]]. The franchise continues to honor the number in its current identity as the [[Indianapolis Colts]].
** The Boston Patriots, for [[Bob Dee]]. The franchise, now the [[New England Patriots]], continues to honor the number.
 
== In other fields ==
[[Image:TI-89.jpg|thumb|80px|[[TI-89 series|TI-89]]]]
'''Eighty-nine''' is also:
 
*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]]
* California [[Proposition 89]], a 2006 California ballot initiative on campaign finance reform
* The greatest number of verses in a chapter of a book of the Bible other than the Book of Psalms—specifically [[Book of Numbers|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 [[Tiananmen Square protests of 1989|eighty-nine]] as one of the words censored on the [[Internet_in_China|Chinese internet]].<ref>http://www.informationisbeautiful.net/ retrieved 16 January 2010{{deadlink|date=December 2011}}</ref>
 
==See also==
*[[Hellin's law]]
 
==References==
 
<references/>
 
{{Integers|zero}}
 
[[Category:Integers]]

Revision as of 02:59, 30 December 2013

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

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 . M89 is the 10th Mersenne prime.

89 is a Fibonacci number and thus a Fibonacci prime as well. 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 2010Template:Deadlink

Template:Integers