Voltage divider

2014-02-04T02:03:54Z

217.132.221.92: /* Loading effect */ "load" intralink

{{Infobox number
| number = 37
| factorization = [[prime number|prime]]
| prime =
| divisor = 1, 37
}}
'''37''' ('''thirty-seven''') is the [[natural number]] following [[36 (number)|36]] and preceding [[38 (number)|38]].

==In mathematics==
Thirty-seven is the 12th [[prime number]], the fifth [[lucky prime]], the first [[irregular prime]], the third [[unique prime]] and the third [[cuban prime]] of the form
:<math>
p = \frac{x^3 - y^3}{x - y} \qquad \left(x = y + 1\right).
</math>

37 is the smallest prime that is not also a [[supersingular prime (moonshine theory)|supersingular prime]].
It is a [[centered hexagonal number]] and a [[star number]].

37 and 38 are the first pair of consecutive [[positive integer]]s not divisible by any of their digits.

Every positive integer is the sum of at most 37 fifth powers (see [[Waring's problem]]).

37 appears in the [[Padovan sequence]], preceded by the terms 16, 21, and 28 (it is the sum of the first two of these).

Since the [[greatest prime factor]] of 37<sup>2</sup> + 1 = 1370 is 137, which is obviously more than 37 twice, 37 is a [[Størmer number]].

37 is the only two digit number in [[base 10]] whose product, when multiplied by two, subtracted by one, and then read backwards, equals the original two digit number: 37×2=74, 74-1=73, 73 backwards is 37.

37 is the only two digit number in [[base 10]] with the following property: The difference between the two digits equals the [[square root]] of the difference between the number itself and the [[least common multiple]] of the two digits.

==In science==
* The [[atomic number]] of [[rubidium]].
* The normal [[Normal human body temperature|human body temperature]] in [[degrees Celsius]].

===Astronomy===
* [[Messier object]] [[Messier 37|M37]], a [[visual magnitude|magnitude]] 6.0 [[open cluster]] in the [[constellation]] [[Auriga (constellation)|Auriga]]
* The [[New General Catalogue]] object [[NGC 37]], a [[spiral galaxy]] in the constellation [[Phoenix (constellation)|Phoenix]]
* The [[Saros number]] of the [[solar eclipse]] series which began on -1794 June 25 and ended on -496 August 12. The duration of Saros series 37 was 1298.1 years, and it contained 73 solar eclipses.
* The Saros number of the [[lunar eclipse]] series which began on -1492 April 3 and ended on -194 May 22. The duration of Saros series 37 was 1298.1 years, and it contained 73 lunar eclipses.

==In sports==
The jersey number 37 has been retired by several [[Major professional sports leagues in the United States and Canada|North American sports]] teams in honor of past greats:
* In [[Major League Baseball]]:
** The [[New York Mets]], for [[National Baseball Hall of Fame and Museum|Hall of Fame]] [[manager (baseball)|manager]] [[Casey Stengel]], who was the team's first manager.
** The [[New York Yankees]], also for Stengel. This honor made him the first manager to have had his number retired by two different teams (the Mets in 1965, the Yankees in 1970).
* In the [[National Football League|NFL]]:
** The [[Detroit Lions]], for [[Doak Walker]].
** The [[San Francisco 49ers]], for [[Jimmy Johnson (cornerback)|Jimmy Johnson]] (not to be confused with [[Jimmy Johnson (American football coach)|the coach of the same name]]).

==In other fields==
[[Image:Huisnummer Hertog.jpg|thumb|100px|House number in [[Baarle-Hertog|Baarle]] (Belgian part)]]

'''Thirty-seven''' is:
* The number of plays [[William Shakespeare]] is thought to have written (counting ''Henry IV'' as three parts).<ref>Adam Spencer, ''Adam Spencer's Book of Numbers''. New York: Four Walls Eight Windows (2004): 61</ref>
* The number of the French department [[Indre-et-Loire]]
* The number of slots in European [[Roulette]] (numbered 0 to 36, the 00 is not used in European roulette as it is in American roulette)
* The number of [[Nat (spirit)|Great Nats]] traditionally worshiped in Burma.
* Municipal Okrug #37, name of [[Yugo-Zapad Municipal Okrug]] of Krasnoselsky District of [[Saint Petersburg]], Russia, before 2009
* +37 was the [[international dialing code]] of the [[German Democratic Republic]] (aka East Germany). Today the +37 prefix is shared by [[Lithuania]] (+370), [[Latvia]] (+371), [[Estonia]] (+372), [[Moldova]] (+373), [[Armenia]] (+374), [[Belarus]] (+375), [[Andorra]] (+376), [[Monaco]] (+377), [[San Marino]] (+378) and [[Vatican City]] (+379).
* A [[Channel 37|television channel]] reserved for [[radioastronomy]] in the [[United States]]
* The protagonist in the book ''This Number Speaks'' (Publish America 2008) by Jason Patrick Doherty, is named Thirty-Seven
* The number most people state when asked to give a random number between 0 and 100.<ref>http://catb.org/jargon/html/R/random-numbers.html</ref>

==See also==
* [[List of highways numbered 37]]
*[[Number Thirty-Seven, Pennsylvania]]
* [[I37 (disambiguation)]]

==References==
{{reflist}}

==External links==
* [http://thirty-seven.org/index.html "37 Factoids" page]
* {{cite web|last=Parker|first=Matt|title=37: Just something fun|url=http://www.numberphile.com/videos/37.html|work=Numberphile|publisher=[[Brady Haran]]}}

{{Integers|zero}}

[[Category:Integers]]

formulasearchengine - User contributions [en]

Voltage divider