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
- The atomic number of actinium.
In astronomy
- Messier object M89, a magnitude 11.5 elliptical galaxy in the constellation Virgo.
- The New General Catalogue object NGC 89, a magnitude 13.5 peculiar spiral galaxy in the 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 settlement. The team's home of Oklahoma City was founded during this event.
- 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 Elite 89 Award is presented by the U.S. NCAA to the participant in each of the NCAA's 89 championship finals with the highest grade point average.
- The jersey number 89 has been retired by two National Football League teams in honor of past playing greats:
- The Baltimore Colts, for 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
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 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]
See also
References
- ↑ Weisstein, Eric W. "196-Algorithm." From MathWorld, a Wolfram Web Resource. http://mathworld.wolfram.com/196-Algorithm.html
- ↑ http://www.informationisbeautiful.net/ retrieved 16 January 2010Template:Deadlink