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37 (number)
Encyclopedia
37 is the natural number
following 36
and preceding 38
.
, the fifth lucky prime, the first irregular prime, the third unique prime
and the third cuban prime of the form
It is a factor of all 3-digit base 10 repdigit
s, such as 111. 37 is the smallest prime that is not also a supersingular prime
.
It is a centered hexagonal number
and a star number
.
37 and 38 are the first pair of consecutive positive integers 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 372 + 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.
Thirty-seven is:
Natural number
In mathematics, the natural numbers are the ordinary whole numbers used for counting and ordering . These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively...
following 36
36 (number)
36 is the natural number following 35 and preceding 37.- In mathematics :36 is both the square of 6 and a triangular number, making it a square triangular number...
and preceding 38
38 (number)
This article discusses the number thirty-eight. For the year 38 CE, see 38. For other uses of 38, see 38 38 is the natural number following 37 and preceding 39.-In mathematics:...
.
In mathematics
It is a prime numberPrime number
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime, as only 1 and 5 divide it, whereas 6 is composite, since it has the divisors 2...
, the fifth lucky prime, the first irregular prime, the third unique prime
Unique prime
In number theory, a unique prime is a certain kind of prime number. A prime p ≠ 2, 5 is called unique if there is no other prime q such that the period length of the decimal expansion of its reciprocal, 1 / p, is equivalent to the period length of the reciprocal of q, 1 / q...
and the third cuban prime of the form
It is a factor of all 3-digit base 10 repdigit
Repdigit
In recreational mathematics, a repdigit is a natural number composed of repeated instances of the same digit, most often in the decimal numeral system....
s, such as 111. 37 is the smallest prime that is not also a supersingular prime
Supersingular prime
In mathematics, a supersingular prime is a prime number satisfying one of the following concepts:*Supersingular prime , in algebraic number theory*Supersingular prime...
.
It is a centered hexagonal number
Centered hexagonal number
A centered hexagonal number, or hex number, is a centered figurate number that represents a hexagon with a dot in the center and all other dots surrounding the center dot in a hexagonal lattice....
and a star number
Star number
A star number is a centered figurate number that represents a centered hexagram, such as the one that Chinese checkers is played on.The nth star number is given by the formula 6n + 1...
.
37 and 38 are the first pair of consecutive positive integers not divisible by any of their digits.
Every positive integer is the sum of at most 37 fifth powers (see Waring's problem
Waring's problem
In number theory, Waring's problem, proposed in 1770 by Edward Waring, asks whether for every natural number k there exists an associated positive integer s such that every natural number is the sum of at most s kth powers of natural numbers...
).
37 appears in the Padovan sequence
Padovan sequence
The Padovan sequence is the sequence of integers P defined by the initial valuesP=P=P=1,and the recurrence relationP=P+P.The first few values of P are...
, preceded by the terms 16, 21, and 28 (it is the sum of the first two of these).
Since the greatest prime factor of 372 + 1 = 1370 is 137, which is obviously more than 37 twice, 37 is a Størmer number
Størmer number
In mathematics, a Størmer number or arc-cotangent irreducible number, named after Carl Størmer, is a positive integer n for which the greatest prime factor of n2 + 1 meets or exceeds 2n. The first few Størmer numbers are 1, 2, 4, 5, 6, 9, 10, 11, 12, 14, 15, 16, 19, 20, etc....
.
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
Square root
In mathematics, a square root of a number x is a number r such that r2 = x, or, in other words, a number r whose square is x...
of the difference between the number itself and the least common multiple
Least common multiple
In arithmetic and number theory, the least common multiple of two integers a and b, usually denoted by LCM, is the smallest positive integer that is a multiple of both a and b...
of the two digits.
In science
- The atomic numberAtomic numberIn chemistry and physics, the atomic number is the number of protons found in the nucleus of an atom and therefore identical to the charge number of the nucleus. It is conventionally represented by the symbol Z. The atomic number uniquely identifies a chemical element...
of rubidiumRubidiumRubidium is a chemical element with the symbol Rb and atomic number 37. Rubidium is a soft, silvery-white metallic element of the alkali metal group. Its atomic mass is 85.4678. Elemental rubidium is highly reactive, with properties similar to those of other elements in group 1, such as very rapid...
. - The normal human body temperatureNormal human body temperatureNormal human body temperature, also known as normothermia or euthermia, is a concept that depends upon the place in the body at which the measurement is made, and the time of day and level of activity of the person...
in degrees Celsius.
Astronomy
- Messier objectMessier objectThe Messier objects are a set of astronomical objects first listed by French astronomer Charles Messier in 1771. The original motivation of the catalogue was that Messier was a comet hunter, and was frustrated by objects which resembled but were not comets...
M37Messier 37Messier 37 is the richest open cluster in the constellation Auriga. It was discovered by Hodierna before 1654....
, a magnitude 6.0 open clusterOpen clusterAn open cluster is a group of up to a few thousand stars that were formed from the same giant molecular cloud and have roughly the same age. More than 1,100 open clusters have been discovered within the Milky Way Galaxy, and many more are thought to exist...
in the constellationConstellationIn modern astronomy, a constellation is an internationally defined area of the celestial sphere. These areas are grouped around asterisms, patterns formed by prominent stars within apparent proximity to one another on Earth's night sky....
AurigaAuriga (constellation)Auriga is a constellation in the northern sky. Its name is Latin for 'charioteer' and its stars form a shape that has been associated with the pointed helmet of a charioteer. It was one of the 48 constellations listed by the 2nd century astronomer Ptolemy, and remains among the 88 modern... - The New General CatalogueNew General CatalogueThe New General Catalogue of Nebulae and Clusters of Stars is a well-known catalogue of deep sky objects in astronomy. It contains 7,840 objects, known as the NGC objects...
object NGC 37NGC 37NGC 37 is a lenticular galaxy located in the Phoenix constellation. It is approximately 42 kiloparsecs in diameter and about 12.9 billion years old....
, a spiral galaxySpiral galaxyA spiral galaxy is a certain kind of galaxy originally described by Edwin Hubble in his 1936 work The Realm of the Nebulae and, as such, forms part of the Hubble sequence. Spiral galaxies consist of a flat, rotating disk containing stars, gas and dust, and a central concentration of stars known as...
in the constellation PhoenixPhoenix (constellation)Phoenix is a minor constellation in the southern sky. It is named after the Phoenix, a mythical bird. It is faint: there are only two stars in the whole constellation which are brighter than magnitude 5.0... - The Saros number of the solar eclipseSolar eclipseAs seen from the Earth, a solar eclipse occurs when the Moon passes between the Sun and the Earth, and the Moon fully or partially blocks the Sun as viewed from a location on Earth. This can happen only during a new moon, when the Sun and the Moon are in conjunction as seen from Earth. At least...
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 eclipseLunar eclipseA lunar eclipse occurs when the Moon passes behind the Earth so that the Earth blocks the Sun's rays from striking the Moon. This can occur only when the Sun, Earth, and Moon are aligned exactly, or very closely so, with the Earth in the middle. Hence, a lunar eclipse can only occur the night of a...
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. - The number of as-of-yet unidentified radio signals that have been received from outer space
In sports
The jersey number 37 has been retired by several North American sports teams in honor of past greats:- In Major League BaseballMajor League BaseballMajor League Baseball is the highest level of professional baseball in the United States and Canada, consisting of teams that play in the National League and the American League...
:- The New York MetsNew York MetsThe New York Mets are a professional baseball team based in the borough of Queens in New York City, New York. They belong to Major League Baseball's National League East Division. One of baseball's first expansion teams, the Mets were founded in 1962 to replace New York's departed National League...
, for Hall of FameNational Baseball Hall of Fame and MuseumThe National Baseball Hall of Fame and Museum is an American history museum and hall of fame, located at 25 Main Street in Cooperstown, New York, operated by private interests serving as the central point for the study of the history of baseball in the United States and beyond, the display of...
managerManager (baseball)In baseball, the field manager is an individual who is responsible for matters of team strategy on the field and team leadership. Managers are typically assisted by between one and six assistant coaches, whose responsibilities are specialized...
Casey StengelCasey StengelCharles Dillon "Casey" Stengel , nicknamed "The Old Perfessor", was an American Major League Baseball outfielder and manager. He was elected to the Baseball Hall of Fame in ....
, who was the team's first manager. - The New York YankeesNew York YankeesThe New York Yankees are a professional baseball team based in the The Bronx, New York. They compete in Major League Baseball in the American League's East Division...
, 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).
- The New York Mets
- In the NFLNational Football LeagueThe National Football League is the highest level of professional American football in the United States, and is considered the top professional American football league in the world. It was formed by eleven teams in 1920 as the American Professional Football Association, with the league changing...
:- The Detroit LionsDetroit LionsThe Detroit Lions are a professional American football team based in Detroit, Michigan. They are members of the North Division of the National Football Conference in the National Football League , and play their home games at Ford Field in Downtown Detroit.Originally based in Portsmouth, Ohio and...
, for Doak WalkerDoak WalkerEwell Doak Walker, Jr. was an American football player who is a member of the Pro Football Hall of Fame. He was a teammate of Bobby Layne in high school and the NFL.-Early life:...
. - The San Francisco 49ersSan Francisco 49ersThe San Francisco 49ers are a professional American football team based in San Francisco, California, playing in the West Division of the National Football Conference in the National Football League . The team was founded in 1946 as a charter member of the All-America Football Conference and...
, for Jimmy Johnson (not to be confused with the coach of the same nameJimmy Johnson (American football coach)James William "Jimmy" Johnson is an American former NCAA and National Football League head coach. As of 2010, he is currently an analyst for Fox NFL Sunday, the Fox network's NFL pregame show. He was the first football coach whose teams won both an NCAA Division 1A National Championship and a...
).
- The Detroit Lions
In other fields
- The number of plays William ShakespeareWilliam ShakespeareWilliam Shakespeare was an English poet and playwright, widely regarded as the greatest writer in the English language and the world's pre-eminent dramatist. He is often called England's national poet and the "Bard of Avon"...
is thought to have written (counting Henry IV as three parts). - The number of the French department Indre-et-LoireIndre-et-LoireIndre-et-Loire is a department in west-central France named after the Indre and the Loire rivers.-History:Indre-et-Loire is one of the original 83 départements created during the French Revolution on 4 March 1790...
- The number of slots in European RouletteRouletteRoulette is a casino game named after a French diminutive for little wheel. In the game, players may choose to place bets on either a single number or a range of numbers, the colors red or black, or whether the number is odd or even....
(numbered 0 through 36, the 00 is not used in European roulette as it is in American roulette) - Municipal Okrug #37, name of Yugo-Zapad Municipal OkrugYugo-Zapad Municipal OkrugYugo-Zapad Municipal Okrug or South-Western Municipal Okrug, formerly called Municipal Okrug #37 , is a municipal okrug of Krasnoselsky District of the federal city of Saint Petersburg, Russia. Municipal okrug's population:...
of Krasnoselsky District of Saint PetersburgSaint PetersburgSaint Petersburg is a city and a federal subject of Russia located on the Neva River at the head of the Gulf of Finland on the Baltic Sea...
, Russia, before 2009 - +37 was the international dialing code of the German Democratic RepublicGerman Democratic RepublicThe German Democratic Republic , informally called East Germany by West Germany and other countries, was a socialist state established in 1949 in the Soviet zone of occupied Germany, including East Berlin of the Allied-occupied capital city...
(aka East Germany). Today the +37 prefix is shared by LithuaniaLithuaniaLithuania , officially the Republic of Lithuania is a country in Northern Europe, the biggest of the three Baltic states. It is situated along the southeastern shore of the Baltic Sea, whereby to the west lie Sweden and Denmark...
(+370), LatviaLatviaLatvia , officially the Republic of Latvia , is a country in the Baltic region of Northern Europe. It is bordered to the north by Estonia , to the south by Lithuania , to the east by the Russian Federation , to the southeast by Belarus and shares maritime borders to the west with Sweden...
(+371), EstoniaEstoniaEstonia , officially the Republic of Estonia , is a state in the Baltic region of Northern Europe. It is bordered to the north by the Gulf of Finland, to the west by the Baltic Sea, to the south by Latvia , and to the east by Lake Peipsi and the Russian Federation . Across the Baltic Sea lies...
(+372), MoldovaMoldovaMoldova , officially the Republic of Moldova is a landlocked state in Eastern Europe, located between Romania to the West and Ukraine to the North, East and South. It declared itself an independent state with the same boundaries as the preceding Moldavian Soviet Socialist Republic in 1991, as part...
(+373), ArmeniaArmeniaArmenia , officially the Republic of Armenia , is a landlocked mountainous country in the Caucasus region of Eurasia...
(+374), BelarusBelarusBelarus , officially the Republic of Belarus, is a landlocked country in Eastern Europe, bordered clockwise by Russia to the northeast, Ukraine to the south, Poland to the west, and Lithuania and Latvia to the northwest. Its capital is Minsk; other major cities include Brest, Grodno , Gomel ,...
(+375), AndorraAndorraAndorra , officially the Principality of Andorra , also called the Principality of the Valleys of Andorra, , is a small landlocked country in southwestern Europe, located in the eastern Pyrenees mountains and bordered by Spain and France. It is the sixth smallest nation in Europe having an area of...
(+376), MonacoMonacoMonaco , officially the Principality of Monaco , is a sovereign city state on the French Riviera. It is bordered on three sides by its neighbour, France, and its centre is about from Italy. Its area is with a population of 35,986 as of 2011 and is the most densely populated country in the...
(+377), San MarinoSan MarinoSan Marino, officially the Republic of San Marino , is a state situated on the Italian Peninsula on the eastern side of the Apennine Mountains. It is an enclave surrounded by Italy. Its size is just over with an estimated population of over 30,000. Its capital is the City of San Marino...
(+378) and Vatican CityVatican CityVatican City , or Vatican City State, in Italian officially Stato della Città del Vaticano , which translates literally as State of the City of the Vatican, is a landlocked sovereign city-state whose territory consists of a walled enclave within the city of Rome, Italy. It has an area of...
(+379). - A television channelChannel 37Channel 37 is an unused television channel in countries using the M and N broadcast television system standards. Channel 37 occupies a band of UHF frequencies from 608 to 614 MHz, frequencies that are particularly important to radio astronomy...
reserved for radioastronomy in the United StatesUnited StatesThe United States of America is a federal constitutional republic comprising fifty states and a federal district... - The protagonist in the book This Number Speaks (Publish America 2008) by Jason Patrick Doherty, is named Thirty-Seven