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{{examplefarm|date=March 2010}}
{{Infobox number
| number = 14
| numeral = [[tetradecimal]]
| divisor = 1, 2, 7, 14
| greek prefix = tetrakaideca-
| latin prefix = quattuordec-
}}
'''14''' ('''fourteen''' {{IPAc-en|f|oUr|'|t|iː|n}}) is the [[natural number]] following [[13 (number)|13]] and preceding [[15 (number)|15]].
In speech, the numbers 14 and 40 are often confused. When carefully enunciated, they differ in which syllable is [[stress (linguistics)|stressed]]: 14 {{IPAc-en|audio=En-us-fourteen.ogg|f|ɔər|ˈ|t|iː|n}} vs 40 {{IPAc-en|ˈ|f|ɔr|t|i}}.<ref>The vowels of the syllables ''four-'' and ''for-'' are identical in many dialects, such as [[General American]] and younger speakers of [[Received Pronunciation]].</ref> However, in dates such as 1492 or when contrasting numbers in the teens, such as ''13, 14, 15,'' the stress shifts to the first syllable: 14 {{IPAc-en|ˈ|f|ɔər|t|iː|n}}.
 
{{wiktionary|fourteen}}
 
==In mathematics==
Fourteen is a [[composite number]], its [[divisor]]s being {{num|1}}, {{num|2}}, {{num|7}} and 14.
 
14 is the 3rd discrete [[semiprime]] (2.7) and the 3rd member of the (2.q) discrete [[semiprime]] family. The number following 14&mdash;[[15 (number)|15]]&mdash;is itself a discrete [[semiprime]] and this is the first such pair of discrete [[semiprime]]s. The next example is the pair commencing [[21 (number)|21]].
 
The [[aliquot sum]] σ(n) of 14 is [[10 (number)|10]], also a discrete semiprime and this is again the first example of a discrete [[semiprime]] having an [[aliquot sum]] in the same form. 14 has an aliquot sequence of 6 members (14,10,8,7,1,0)
14 is the third composite number in the 7-aliquot tree.
 
Fourteen is itself the [[Aliquot sum]] of two numbers; the discrete [[semiprime]] [[22 (number)|22]], and the [[square number]] [[196 (number)|196]].
 
Fourteen is the base of the [[tetradecimal]] notation.
 
In base fifteen and higher bases (such as [[hexadecimal]]), fourteen is represented as E.
 
Fourteen is the sum of the first three [[Square (algebra)|square]]s, which makes it a [[square pyramidal number]].
 
This number is the lowest even n for which the equation φ(x) = n has no solution, making it the first even [[nontotient]] (see [[Euler's totient function]]).
 
14 is a [[Catalan number]], the only [[semiprime]] among all Catalan numbers.
 
Take a [[Set (mathematics)|set]] of [[real number]]s and apply the [[closure (topology)|closure]] and [[complement (set theory)|complement]] operations to it in any possible sequence. At most 14 distinct sets can be generated in this way. This holds even if the reals are replaced by a more general [[topological space]]. See [[Kuratowski's closure-complement problem]].
 
Fourteen is a [[Keith number]] in base 10: 1, 4, 5, 9, 14, 23, 37, 60, 97, 157...
 
Fourteen is an [[Meander (mathematics)|open meandric number]].
 
Fourteen is a [[Pell number|Companion Pell number]].
 
According to the [[Shapiro inequality]] 14 is the least number n such that there exist <math>x_1, x_2, \dots, x_n</math> such that
 
:<math>\sum_{i=1}^{n} \frac{x_i}{x_{i+1}+x_{i+2}} < \frac{n}{2}</math>
 
where <math>x_{n+1}=x_1, x_{n+2}=x_2</math>.
 
There are fourteen possible [[Bravais lattices]] that fill three-dimensional space.
 
The [[cuboctahedron]], the [[truncated cube]], and the [[truncated octahedron]] each have fourteen faces. The [[rhombic dodecahedron]], which [[tessellation|tessellates]] 3-dimensional space and is the [[duality (mathematics)|dual]] of the cuboctahedron, has fourteen vertices. The truncated octahedron, which also tessellates 3-dimensional space, is the only [[truncated octahedron|permutohedron]].
 
==In science==
===Chemistry===
*The [[atomic number]] of [[silicon]]
*The approximate [[atomic weight]] of [[nitrogen]]
*The maximum number of electrons that can fit in an f sublevel
 
===Astronomy===
 
*[[Messier object]] [[Messier 14|M14]], a [[visual magnitude|magnitude]] 9.5 [[globular cluster]] in the constellation [[Ophiuchus]]
 
*The [[New General Catalogue]] [http://www.ngcic.org/ object] [NGC 14, a magnitude 12.5 [[irregular galaxy]] in the [[constellation]] [[Pegasus (constellation)|Pegasus]]
 
*The [[Saros number|Saros]] [http://sunearth.gsfc.nasa.gov/eclipse/SEsaros/SEsaros1-175.html number] of the [[solar eclipse]] series which began on July 31, 2568 B.C. and ended on February 6, B.C. 1035. The duration of Saros series 14 was 1532.5 years, and it contained 86 solar eclipses
 
*The Saros [http://sunearth.gsfc.nasa.gov/eclipse/LEsaros/LEsaros1-175.html number] of the [[lunar eclipse]] series which began on June 1, 2230 B.C. and ended on July 19, 932 B.C. The duration of Saros series 14 was 1298.1 years, and it contained 73 lunar eclipses.
 
==In religion==
*The number of [[Stations of the Cross]].
*The [[Fourteen Holy Helpers]] were a group of [[saint]]s formerly venerated together by [[Roman Catholic Church|Roman Catholics]].
*The number of [[muqatta'at]] in the [[Qur'an]].
*The number of Infalliables (Masoomeen) in [[Shia]] Ithna-Asheri Islam.
*The number of pieces the body of [[Osiris]] was torn into by his fratricidal brother [[Set (mythology)|Set]].
*The number of years of Rama's exile in the forests in Hinduism.
 
==Age 14==
{{unreferenced section|date=March 2009}}
*Age 14 is the earliest that the [[emancipation of minors]] can occur in the U.S.
*Minimum age a person can purchase, rent or buy tickets to a 14A rated movie in Canada without an adult. Ratings are provincial, so ratings may vary. A movie can be 14A in one or some provinces and PG in other provinces. A movie can also be rated 14A in one or some provinces and 18A in other provinces. Quebec has a different rating system for films.
* Youngest age in Canada a person can watch a 14+ rated show without consent from a legal guardian.
*Minimum age at which one can view, rent, purchase, or buy tickets to an 18A rated movie with an accompanying adult in the Canadian provinces of the Maritimes and Manitoba.
*Minimum age at which one can work in many U.S states. Some require parental consent while others don't.
*Minimum age at which one can work in most Australian states with parent's consent.
* Minimum age at which one can drive a vehicle in the U.S. with a driver's license (with supervision of an adult over 18 years of age, and with a valid, unmarked driver's license, and at least 365 days of experience driving an actual automobile)
*The minimum age limit to drive a 50cc motorbike in Italy.
 
==In Sports==
* The [[G-14]] is a now-defunct union of eighteen football clubs. 
* In [[Association football]]: The number 14, was the number for [[Johan Cruyff]]. Therefore he is often associated with that number and the football club [[AFC Ajax]] promised (in 2007) in his honour never to use it again.
 
* In [[Major League Baseball]], the [[American League]] has had 14 teams from {{mlby|1977}} to {{mlby|2012}}, and the [[National League]] had 14 teams from {{mlby|1993}} to {{mlby|1997}}.
 
* In [[rugby union]]:
** The starting right wing wears the 14 shirt.
** The [[Top 14]] is the highest-level league in [[Rugby union in France|French]] rugby union.
** The Southern Hemisphere competition now known as Super Rugby was known from 2006 through 2010, an era in which it had 14 teams, as [[Super Rugby#Super 14|Super 14]].
 
* In the [[NASCAR]] [[Sprint Cup Series]], the #14 car is currently owned by [[Stewart Haas Racing]]. Since 2009, it has been driven by team co-owner [[Tony Stewart]].
 
* In [[Thoroughbred horse racing]]:
** The following major races have a maximum field of 14 runners:
*** The [[Preakness Stakes]] and [[Belmont Stakes]], the final two legs of the [[United States Triple Crown of Thoroughbred Racing|U.S. Triple Crown]].
*** All of the [[Breeders' Cup]] races except for the [[Breeders' Cup Dirt Mile|Dirt Mile]], [[Breeders' Cup Juvenile Fillies|Juvenile Fillies]], and [[Breeders' Cup Juvenile Fillies Turf|Juvenile Fillies Turf]] (limited to 12).
 
* The [[Squad number|jersey number]] 14 has been retired by several [[Major professional sports leagues in the United States and Canada|North American sports]] teams in honor of past playing greats or other key figures:
** In [[Major League Baseball]]:
*** The [[Boston Red Sox]], for [[National Baseball Hall of Fame and Museum|Hall of Famer]] [[Jim Rice]].
*** The [[Chicago Cubs]], for Hall of Famer [[Ernie Banks]].
*** The [[Cleveland Indians]], for Hall of Fame player [[Larry Doby]], who also [[Manager (baseball)|managed]] the team.
*** The [[Minnesota Twins]], for [[Kent Hrbek]].
*** The [[New York Mets]], for [[Gil Hodges]], who both played for and managed the team.
*** The [[Philadelphia Phillies]], for Hall of Famer [[Jim Bunning]].
*** The [[St. Louis Cardinals]], for [[Ken Boyer]].
*** The [[Seattle Mariners]] have yet to retire any numbers, but have not issued #14 since [[Lou Piniella]], manager from 1993 to 2002, left the team.
*** The [[Cincinnati Reds]] have taken #14 out of circulation since [[Pete Rose]] accepted a place on [[List of Major League Baseball figures who have been banned for life|MLB's banned list]] in 1989 for [[Dowd Report|allegedly betting on games]] (which he would admit to in 2004). Because of the ban, the Reds cannot retire the number for Rose during his lifetime; they have since only issued the number to [[Pete Rose, Jr.|his son]].
** In the [[National Basketball Association|NBA]]:
*** The [[Boston Celtics]], for [[Naismith Memorial Basketball Hall of Fame|Hall of Famer]] [[Bob Cousy]].
*** The [[Golden State Warriors]], for [[Tom Meschery]], who played for the team in its past incarnations as the Philadelphia and San Francisco Warriors.
*** The [[Milwaukee Bucks]], for [[Jon McGlocklin]].
*** The [[Portland Trail Blazers]], for [[Lionel Hollins]].
*** The [[Sacramento Kings]], for Hall of Famer [[Oscar Robertson]], who played for the team when it was known as the [[Sacramento Kings#Cincinnati|Cincinnati Royals]].
*** The [[Utah Jazz]], for [[Jeff Hornacek]].
** In the [[National Football League|NFL]]:
*** The [[Cleveland Browns]], for [[Pro Football Hall of Fame|Hall of Famer]] [[Otto Graham]].
*** The [[Green Bay Packers]], for Hall of Famer [[Don Hutson]].
*** The [[New York Giants]], for Hall of Famer [[Y. A. Tittle]].
*** The [[San Diego Chargers]], for Hall of Famer [[Dan Fouts]].
** In the [[National Hockey League|NHL]]:
*** The [[Buffalo Sabres]], for [[René Robert]].
 
==In other fields==
'''Fourteen''' is:
*The number of days in a [[fortnight]].
*In traditional British units of [[weight]], the number of pounds in a [[stone (weight)|stone]].
*A number 'encoded' in much of the music of [[Johann Sebastian Bach]].{{Citation needed|date=March 2009}} Bach may have considered this number a sort of signature, since given A = 1, B = 2, C = 3, etc., then B + A + C + H = 14. (See also [[41 (number)|41]])
*The number of points outlined by president [[Woodrow Wilson]] for reconstructing a new [[Europe]] following [[World War I]], see [[Fourteen Points]].
*The section that you go to when you die in the [[Grailquest]] books.
*The number of legs on a [[woodlouse]], as well as on ''[[Hallucigenia]]''.
*A common designation for the [[thirteenth floor]] in many buildings for [[Superstition|superstitious]] reasons
* The number of points in a proposed republican constitution of the United Kingdom{{Citation needed|date=September 2008}}
*The number of lines in a [[sonnet]].
* The Number 14 airship by [[Alberto Santos Dumont]] that was used to test the aerodynamics of his [[14-bis]] airplane.
* The number of the French department [[Calvados]]
* A [[Storage server]] manufactured by IBM. It goes by name of "XIV" and is pronounced as the separate letters "X", "I", "V".
* The [[Piano Sonata No. 14 (Beethoven)|Piano Sonata No. 14]], also known as Moonlight Sonata, is one of the most famous piano sonatas composed by [[Ludwig van Beethoven]].
* A symbol of infinity in "[[The House of Asterion]]" ("{{lang-es|La casa de Asterión}}", 1947) by [[Jorge Luis Borges]].<ref>Jean Ann Bowman, ''Jorge Luis Borges: A study of criticism in the United States'', M.A. thesis submitted to and approved by the Graduate Faculty of Texas Tech University, May 1987.</ref>
* The [[Fourteen Words]] are a phrase used by white nationalists.
* [[Nuestra Familia]] is a gang that uses "XIV" as their symbol because the 14th letter of the English alphabet is "N".
 
==References==
<references />
 
{{Integers|zero}}
 
[[Category:Integers|1 4]]

Revision as of 07:21, 21 February 2013

Template:Examplefarm Template:Infobox number 14 (fourteen Template:IPAc-en) is the natural number following 13 and preceding 15. In speech, the numbers 14 and 40 are often confused. When carefully enunciated, they differ in which syllable is stressed: 14 Template:IPAc-en vs 40 Template:IPAc-en.[1] However, in dates such as 1492 or when contrasting numbers in the teens, such as 13, 14, 15, the stress shifts to the first syllable: 14 Template:IPAc-en.

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In mathematics

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14 is the 3rd discrete semiprime (2.7) and the 3rd member of the (2.q) discrete semiprime family. The number following 14—15—is itself a discrete semiprime and this is the first such pair of discrete semiprimes. The next example is the pair commencing 21.

The aliquot sum σ(n) of 14 is 10, also a discrete semiprime and this is again the first example of a discrete semiprime having an aliquot sum in the same form. 14 has an aliquot sequence of 6 members (14,10,8,7,1,0) 14 is the third composite number in the 7-aliquot tree.

Fourteen is itself the Aliquot sum of two numbers; the discrete semiprime 22, and the square number 196.

Fourteen is the base of the tetradecimal notation.

In base fifteen and higher bases (such as hexadecimal), fourteen is represented as E.

Fourteen is the sum of the first three squares, which makes it a square pyramidal number.

This number is the lowest even n for which the equation φ(x) = n has no solution, making it the first even nontotient (see Euler's totient function).

14 is a Catalan number, the only semiprime among all Catalan numbers.

Take a set of real numbers and apply the closure and complement operations to it in any possible sequence. At most 14 distinct sets can be generated in this way. This holds even if the reals are replaced by a more general topological space. See Kuratowski's closure-complement problem.

Fourteen is a Keith number in base 10: 1, 4, 5, 9, 14, 23, 37, 60, 97, 157...

Fourteen is an open meandric number.

Fourteen is a Companion Pell number.

According to the Shapiro inequality 14 is the least number n such that there exist such that

where .

There are fourteen possible Bravais lattices that fill three-dimensional space.

The cuboctahedron, the truncated cube, and the truncated octahedron each have fourteen faces. The rhombic dodecahedron, which tessellates 3-dimensional space and is the dual of the cuboctahedron, has fourteen vertices. The truncated octahedron, which also tessellates 3-dimensional space, is the only permutohedron.

In science

Chemistry

Astronomy

  • The Saros number of the solar eclipse series which began on July 31, 2568 B.C. and ended on February 6, B.C. 1035. The duration of Saros series 14 was 1532.5 years, and it contained 86 solar eclipses
  • The Saros number of the lunar eclipse series which began on June 1, 2230 B.C. and ended on July 19, 932 B.C. The duration of Saros series 14 was 1298.1 years, and it contained 73 lunar eclipses.

In religion

Age 14

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  • Age 14 is the earliest that the emancipation of minors can occur in the U.S.
  • Minimum age a person can purchase, rent or buy tickets to a 14A rated movie in Canada without an adult. Ratings are provincial, so ratings may vary. A movie can be 14A in one or some provinces and PG in other provinces. A movie can also be rated 14A in one or some provinces and 18A in other provinces. Quebec has a different rating system for films.
  • Youngest age in Canada a person can watch a 14+ rated show without consent from a legal guardian.
  • Minimum age at which one can view, rent, purchase, or buy tickets to an 18A rated movie with an accompanying adult in the Canadian provinces of the Maritimes and Manitoba.
  • Minimum age at which one can work in many U.S states. Some require parental consent while others don't.
  • Minimum age at which one can work in most Australian states with parent's consent.
  • Minimum age at which one can drive a vehicle in the U.S. with a driver's license (with supervision of an adult over 18 years of age, and with a valid, unmarked driver's license, and at least 365 days of experience driving an actual automobile)
  • The minimum age limit to drive a 50cc motorbike in Italy.

In Sports

  • The G-14 is a now-defunct union of eighteen football clubs.
  • In Association football: The number 14, was the number for Johan Cruyff. Therefore he is often associated with that number and the football club AFC Ajax promised (in 2007) in his honour never to use it again.
  • In rugby union:
    • The starting right wing wears the 14 shirt.
    • The Top 14 is the highest-level league in French rugby union.
    • The Southern Hemisphere competition now known as Super Rugby was known from 2006 through 2010, an era in which it had 14 teams, as Super 14.

In other fields

Fourteen is:

References

  1. ↑ The vowels of the syllables four- and for- are identical in many dialects, such as General American and younger speakers of Received Pronunciation.
  2. ↑ Jean Ann Bowman, Jorge Luis Borges: A study of criticism in the United States, M.A. thesis submitted to and approved by the Graduate Faculty of Texas Tech University, May 1987.

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