39 (number)
Encyclopedia
39 is the natural number
following 38
and preceding 40
.
Thirty-nine is the sum of five consecutive primes (3 + 5 + 7 + 11 + 13) and the sum of the first three powers of 3 (
). Given 39, the Mertens function returns 0
.
39 is the smallest natural number which has three partitions into three parts which all give the same product when multiplied: {25, 8, 6}, {24, 10, 5}, {20, 15, 4}.
39 is the 12th distinct semiprime
and the 4th in the {3.q} family. It is the last member of the third distinct biprime pair (38,39).
39 has an aliquot sum of 17 which is itself a prime. 39 is the 4th member of the 17-aliquot tree
The thirteenth Perrin number
is 39, which comes after 17, 22, 29 (it is the sum of the first two mentioned).
Since the greatest prime factor of 392 + 1 = 1522 is 761, which is obviously more than 39 twice, 39 is a Størmer number
.
The F26A graph
is a symmetric graph
with 39 edges.
History
Other
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 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:...
and preceding 40
40 (number)
40 is the natural number following 39 and preceding 41.Despite being related to the word "four" , 40 is spelled "forty", and not "fourty"...
.
In mathematics
). Given 39, the Mertens function returns 00 (number)
0 is both a numberand the numerical digit used to represent that number in numerals.It fulfills a central role in mathematics as the additive identity of the integers, real numbers, and many other algebraic structures. As a digit, 0 is used as a placeholder in place value systems...
.
39 is the smallest natural number which has three partitions into three parts which all give the same product when multiplied: {25, 8, 6}, {24, 10, 5}, {20, 15, 4}.
39 is the 12th distinct semiprime
Semiprime
In mathematics, a semiprime is a natural number that is the product of two prime numbers. The first few semiprimes are 4, 6, 9, 10, 14, 15, 21, 22, 25, 26, ... ....
and the 4th in the {3.q} family. It is the last member of the third distinct biprime pair (38,39).
39 has an aliquot sum of 17 which is itself a prime. 39 is the 4th member of the 17-aliquot tree
The thirteenth Perrin number
Perrin number
In mathematics, the Perrin numbers are defined by the recurrence relationandThe sequence of Perrin numbers starts withThe number of different maximal independent sets in an n-vertex cycle graph is counted by the nth Perrin number.-History:...
is 39, which comes after 17, 22, 29 (it is the sum of the first two mentioned).
Since the greatest prime factor of 392 + 1 = 1522 is 761, which is obviously more than 39 twice, 39 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....
.
The F26A graph
F26A graph
In the mathematical field of graph theory, the F26A graph is a symmetric bipartite cubic graph with 26 vertices and 39 edges.It has chromatic number 2, chromatic index 3, diameter 5, radius 5 and girth 6...
is a symmetric graph
Symmetric graph
In the mathematical field of graph theory, a graph G is symmetric if, given any two pairs of adjacent vertices u1—v1 and u2—v2 of G, there is an automorphismsuch that...
with 39 edges.
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...
Open Cluster M39, a magnitude 5.5 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....
CygnusCygnus (constellation)Cygnus is a northern constellation lying on the plane of the Milky Way. Its name is the Latinized Hellenic word for swan. One of the most recognizable constellations of the northern summer and autumn, it features a prominent asterism known as the Northern Cross... - 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 39NGC 39NGC 39 is a spiral galaxy in the constellation Andromeda.-External links:* *...
, 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 AndromedaAndromeda (constellation)Andromeda is a constellation in the northern sky. It is named after Andromeda, the princess in the Greek legend of Perseus who was chained to a rock to be eaten by the sea monster Cetus... - 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 -1380 March 26 and ended on -82 May 14. The duration of Saros series 39 was 1298.1 years, and it contained 73 lunar eclipses.
- lunar eclipse
In religion
- The number of the 39 categories of activity prohibited on Shabbat according to HalakhaHalakhaHalakha — also transliterated Halocho , or Halacha — is the collective body of Jewish law, including biblical law and later talmudic and rabbinic law, as well as customs and traditions.Judaism classically draws no distinction in its laws between religious and ostensibly non-religious life; Jewish...
- The number of mentions of work or labor in the TorahTorahTorah- A scroll containing the first five books of the BibleThe Torah , is name given by Jews to the first five books of the bible—Genesis , Exodus , Leviticus , Numbers and Deuteronomy Torah- A scroll containing the first five books of the BibleThe Torah , is name given by Jews to the first five...
- The actual number of lashes given by the SanhedrinSanhedrinThe Sanhedrin was an assembly of twenty-three judges appointed in every city in the Biblical Land of Israel.The Great Sanhedrin was the supreme court of ancient Israel made of 71 members...
to a person meted the punishment of 40 lashes - The number of books in the Old TestamentOld TestamentThe Old Testament, of which Christians hold different views, is a Christian term for the religious writings of ancient Israel held sacred and inspired by Christians which overlaps with the 24-book canon of the Masoretic Text of Judaism...
according to ProtestantProtestantismProtestantism is one of the three major groupings within Christianity. It is a movement that began in Germany in the early 16th century as a reaction against medieval Roman Catholic doctrines and practices, especially in regards to salvation, justification, and ecclesiology.The doctrines of the...
canon - The number of statements on Anglican Church doctrine, Thirty-Nine ArticlesThirty-Nine ArticlesThe Thirty-Nine Articles of Religion are the historically defining statements of doctrines of the Anglican church with respect to the controversies of the English Reformation. First established in 1563, the articles served to define the doctrine of the nascent Church of England as it related to...
In other fields
Arts and entertainment- In the title of the John Buchan novelNovelA novel is a book of long narrative in literary prose. The genre has historical roots both in the fields of the medieval and early modern romance and in the tradition of the novella. The latter supplied the present generic term in the late 18th century....
and subsequent films (one by Alfred HitchcockAlfred HitchcockSir Alfred Joseph Hitchcock, KBE was a British film director and producer. He pioneered many techniques in the suspense and psychological thriller genres. After a successful career in British cinema in both silent films and early talkies, Hitchcock moved to Hollywood...
), The Thirty-Nine StepsThe Thirty-nine StepsThe Thirty-Nine Steps is an adventure novel by the Scottish author John Buchan. It first appeared as a serial in Blackwood's Magazine in August and September 1915 before being published in book form in October that year by William Blackwood and Sons, Edinburgh... - The age American comedian Jack BennyJack BennyJack Benny was an American comedian, vaudevillian, and actor for radio, television, and film...
claimed to be for more than 40 years - "39" is a song by The CureThe CureThe Cure are an English rock band formed in Crawley, West Sussex in 1976. The band has experienced several line-up changes, with frontman, vocalist, guitarist and principal songwriter Robert Smith being the only constant member...
on their album "BloodflowersBloodflowersBloodflowers is the eleventh album by English band The Cure, released in 2000. The album is seen as a sombre return to form by critics and fans alike...
" - "'39" is a track on QueenQueen (band)Queen are a British rock band formed in London in 1971, originally consisting of Freddie Mercury , Brian May , John Deacon , and Roger Taylor...
's album A Night At the OperaA Night at the Opera (Queen album)A Night at the Opera is the fourth studio album by the British rock group Queen, released in November 1975. Co-produced by Roy Thomas Baker and Queen, A Night at the Opera was, at the time of its release, the most expensive album ever recorded...
. If the tracks on Queen's original studio albums are numbered in sequential order starting with their first, "'39" does in fact fall in the thirty-ninth position - The retired jersey number of former baseball player Roy CampanellaRoy CampanellaRoy Campanella , nicknamed "Campy", was an American baseball player, primarily at the position of catcher, in the Negro leagues and Major League Baseball...
- The book series "The 39 CluesThe 39 CluesThe 39 Clues consists of two series of adventure books, The Clue Hunt and Cahills vs. Vespers, combining reading, online gaming, and card collecting...
" revolves around 39 clues hidden around the world. - Glorious 39 is a 2009 drama filmDrama filmA drama film is a film genre that depends mostly on in-depth development of realistic characters dealing with emotional themes. Dramatic themes such as alcoholism, drug addiction, infidelity, moral dilemmas, racial prejudice, religious intolerance, poverty, class divisions, violence against women...
set at the beginning of World War IIWorld War IIWorld War II, or the Second World War , was a global conflict lasting from 1939 to 1945, involving most of the world's nations—including all of the great powers—eventually forming two opposing military alliances: the Allies and the Axis... - In the CBSCBSCBS Broadcasting Inc. is a major US commercial broadcasting television network, which started as a radio network. The name is derived from the initials of the network's former name, Columbia Broadcasting System. The network is sometimes referred to as the "Eye Network" in reference to the shape of...
reality show SurvivorSurvivor (U.S. TV series)Survivor is an American version of the Survivor reality television game show, itself derived from the Swedish television series Expedition Robinson originally created in 1997 by Charlie Parsons. The series premiered on May 31, 2000 on CBS...
, contestants compete for 39 days.
History
- The number of signers to the United States ConstitutionUnited States ConstitutionThe Constitution of the United States is the supreme law of the United States of America. It is the framework for the organization of the United States government and for the relationship of the federal government with the states, citizens, and all people within the United States.The first three...
, out of 55 members of the Philadelphia Convention delegates - The traditional number of times citizens of Ancient RomeAncient RomeAncient Rome was a thriving civilization that grew on the Italian Peninsula as early as the 8th century BC. Located along the Mediterranean Sea and centered on the city of Rome, it expanded to one of the largest empires in the ancient world....
hit their slavesSlaverySlavery is a system under which people are treated as property to be bought and sold, and are forced to work. Slaves can be held against their will from the time of their capture, purchase or birth, and deprived of the right to leave, to refuse to work, or to demand compensation...
when beating them, referred to as "Forty40 (number)40 is the natural number following 39 and preceding 41.Despite being related to the word "four" , 40 is spelled "forty", and not "fourty"...
save one" - The duration, in nanoseconds, of the nuclear reaction in the largest nuclear explosion ever performed (Tsar bomb)
- The number of ScudScudScud is a series of tactical ballistic missiles developed by the Soviet Union during the Cold War, and exported widely to other countries. The term comes from the NATO reporting name SS-1 Scud which was attached to the missile by Western intelligence agencies...
missiles which IraqIraqIraq ; officially the Republic of Iraq is a country in Western Asia spanning most of the northwestern end of the Zagros mountain range, the eastern part of the Syrian Desert and the northern part of the Arabian Desert....
fired at IsraelIsraelThe State of Israel is a parliamentary republic located in the Middle East, along the eastern shore of the Mediterranean Sea...
during the Gulf WarGulf WarThe Persian Gulf War , commonly referred to as simply the Gulf War, was a war waged by a U.N.-authorized coalition force from 34 nations led by the United States, against Iraq in response to Iraq's invasion and annexation of Kuwait.The war is also known under other names, such as the First Gulf...
in 1991
Other
- The code for international direct-dialed phone calls to ItalyItalyItaly , officially the Italian Republic languages]] under the European Charter for Regional or Minority Languages. In each of these, Italy's official name is as follows:;;;;;;;;), is a unitary parliamentary republic in South-Central Europe. To the north it borders France, Switzerland, Austria and...
- I-39 is the designation for a USUnited StatesThe United States of America is a federal constitutional republic comprising fifty states and a federal district...
interstate highway from Normal, IllinoisNormal, IllinoisNormal is an incorporated town in McLean County, Illinois, United States. It had a population of 52,497 as of the 2010 census. Normal is the smaller of two principal municipalities of the Bloomington-Normal metropolitan area...
to Wausau, WisconsinWausau, WisconsinWausau is a city in and the county seat of Marathon County, Wisconsin, United States. The Wisconsin River divides the city. The city is adjacent to the town of Wausau.According to the 2000 census, Wausau had a population of 38,426 people...
. I-39 is the 39th shortest of the primary "two digit" Interstates. - JapaneseJapanese languageis a language spoken by over 130 million people in Japan and in Japanese emigrant communities. It is a member of the Japonic language family, which has a number of proposed relationships with other languages, none of which has gained wide acceptance among historical linguists .Japanese is an...
Internet chat slang for "thank you" when written with numbers (3=san 9=kyu) - Pier 39Pier 39Pier 39 is a shopping center and popular tourist attraction built on a pier in San Francisco, California. At Pier 39, there are shops, restaurants, a video arcade, street performances, an interpretive center for the Marine Mammal Center, the Aquarium of the Bay, virtual 3D rides, and views of...
in San Francisco - The number of the French department Jura