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{{Infobox number
| number = 65
| divisor = 1, 5, 13, 65
}}
'''65''' ('''sixty-five''')  is the [[natural number]] following [[64 (number)|64]] and preceding [[66 (number)|66]].


==In mathematics==
'''Sixty-five''' is the 23rd<ref>{{OEIS|A001358}}</ref> [[semiprime]] and the 3rd of the form (5.q)it is an [[octagonal number]]. It is also a [[Cullen number]]. Given 65, the [[Mertens function]] returns [[0 (number)|0]].


'''Sixty-five''' has an [[aliquot sum]] of 19 and is the first composite number in the 19-aliquot tree.
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This number is the [[magic constant]] of 5 by 5 normal [[magic square]]:
 
<math>
\begin{bmatrix}
17 & 24 & 1 & 8 & 15 \\
23 & 5 & 7 & 14 & 16 \\
4 & 6 & 13 & 20 & 22 \\
10 & 12 & 19 & 21 & 3 \\
11 & 18 & 25 & 2 & 9
\end{bmatrix}.
</math>
 
This number is also the [[magic constant]] of [[Eight queens puzzle|n-Queens Problem]] for n = 5.<ref>{{SloanesRef|sequencenumber= A006003}}</ref>
 
65 is the smallest integer that can be expressed as a sum of two distinct positive squares in two ways, 65 = 8<sup>2</sup> + 1<sup>2</sup> = 7<sup>2</sup> + 4<sup>2</sup>.
 
It appears in the [[Padovan sequence]], preceded by the terms 28, 37, 49 (it is the sum of the first two of these).
 
There are only 65 known [[Euler's idoneal numbers]].
 
In base 14, 65 is a [[cyclic number]].
 
65=1<sup>5</sup>+2<sup>4</sup>+3<sup>3</sup>+4<sup>2</sup>+5<sup>1</sup>
 
65 is the length of the hypotenuse of 4 different [[pythagorean triple|pythagorean triangles]], the lowest number to have more than 2:  65<sup>2</sup> = 16<sup>2</sup> + 63<sup>2</sup> = 33<sup>2</sup> + 56<sup>2</sup> = 39<sup>2</sup> + 52<sup>2</sup> = 25<sup>2</sup> + 60<sup>2</sup>. The first two are "primitive", and 65 is the lowest number to be the largest side of more than one such triple.
 
==In science==
*The [[atomic number]] of [[terbium]], a lanthanide
 
===Astronomy===
*[[Messier object]] [[Messier 65|M65]], a [[galaxy]] of [[visual magnitude|magnitude]] 10.5 in the [[constellation]] [[Leo (constellation)|Leo]]
 
*The [[New General Catalogue]] object NGC 65, a [[spiral galaxy]] in the constellation [[Cetus]]
 
*The [[Saros number]] of the series of [[solar eclipse]]s that began on April 24, 749 [[BCE]], and ended in May 513 [[Common Era|CE]]. The duration of the Saros series 65 was 1262.1 years, and it contained 71 solar eclipses.
 
*The [[Saros number]] of the series of [[lunar eclipse]]s that began on August 11, 736 [[BCE]], and ended in February 797 [[Common Era|CE]]. The duration of Saros series 65 was 1532.5 years, and it contained 86 lunar eclipses.
 
==In music==
*"[[65 Love Affair]]", singer Paul Davis' hit song in 1982
*[[Sammy Hagar]] re-recorded his hit "I Can't Drive 55", with the 55 changed to 65, in 2001 for NBC's NASCAR broadcasts to reflect higher speed limits; the song was used from 2001 until 2004 to introduce Budweiser Pole Award winners on NBC and TNT broadcasts
*65 is a commonly used abbreviation for the Sheffield, UK, post-rock band [[65daysofstatic]]
*Referenced in "[[Heroes and Villains]]" by the Beach Boys: "At 60 and 5 / I'm very much alive / I've still got the jive / to survive with the Heroes and Villains"
*[[Odd Future]] group [[MellowHype]] has performed a song entitled "65"
 
==In other fields==
'''Sixty-five''' is:
*A common [[speed limit]], in miles per hour, on  [[Controlled-access highway|expressways]] in many [[U.S. States]], primarily in the eastern and central United States. (In the western United States, a common speed limit is 70 m.p.h., and in some places it is 75 m.p.h.)
*The designation of [[Interstate 65]], the [[Interstate Highway]] that runs from northwestern [[Indiana]] to southmost [[Alabama]]
*[[+65]] is the [[code for international direct dial]] telephone calls to [[Singapore]]
*The traditional age for [[retirement]] in the [[United Kingdom]], [[Germany]], the United States, Canada, and several other countries.
*The [[hull number]] of the U.S. Navy's first nuclear-powered [[aircraft carrier]], the [[USS Enterprise (CVN-65)]]
*65 is the minimum grade or average required to pass an exam, or a class, in some schools.
*The setting of the American classic [[TV series]] ''[[Naked City (TV series)|Naked City]]'' (1958 - 63) was the 65th Precinct in [[New York City]].
*The number of the French department [[Hautes-Pyrénées]]
*65 is commonly used in names of many dishes of [[South India]] cuisine, for instance [[Chicken 65]]
*The [[M-65 Field Jacket|M-65 field jacket]] was commonly worn by American troops during the [[War in Vietnam]]
 
==In sports==
*[[MotoGP]] rider [[Loris Capirossi]] races with #65
 
==References==
<references/>
 
{{Integers|zero}}
 
[[Category:Integers]]

Revision as of 10:22, 4 February 2014


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