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13 (number)

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From Wikipedia, the free encyclopedia

Natural number
← 1213 14 →
Cardinalthirteen
Ordinal13th
(thirteenth)
Numeral systemtredecimal
Factorizationprime
Prime6th
Divisors1, 13
Greek numeralΙΓ´
Roman numeralXIII,xiii
Binary11012
Ternary1113
Senary216
Octal158
Duodecimal1112
HexadecimalD16
Hebrew numeralי"ג
Babylonian numeral𒌋𒐗

13 (thirteen) is thenatural number following12 and preceding14.

Folklore surrounding the number 13 appears in many cultures around the world: one theory is that this is due to the cultures employing lunar-solar calendars (there are approximately 12.41 lunations per solar year, and hence 12 "true months" plus a smaller, and often portentous, thirteenth month). This can be witnessed, for example, in the "Twelve Days of Christmas" of Western European tradition.[1]

In mathematics

The number 13 is aprime number,happy number[2] and alucky number.[3] It is atwin prime with11, as well as acousin prime with17. It is the second of only 3Wilson primes: 5, 13, and563. A 13-sidedregular polygon is called atridecagon.

List of basic calculations

Multiplication12345678910111213141516171819202122232425501001000
(13)x13263952657891104117130143156169182195208221234247260273286299312325650130013000
Division123456789101112131415
13 ÷x136.54.33.252.62.161.8571421.6251.41.31.181.08310.92857140.86
x ÷ 130.0769230.1538460.2307690.3076920.3846150.4615380.5384610.6153840.6923070.7692300.8461530.92307611.0769231.153846
Exponentiation1234567891011
13x13169219728561371293482680962748517815730721106044993731378584918491792160394037
x13181921594323671088641220703125130606940169688901040754975581388825418658283291000000000000034522712143931

In languages

Grammar

  • In allGermanic languages, 13 is the firstcompound number; the numbers 11 and 12 have their own names.
  • TheRomance languages use different systems: In Italian, 11 is the first compound number (undici), as in Romanian (unsprezece), while in Spanish and Portuguese, the numbers up to and including 15 (Spanishquince, Portuguesequinze), and in French and Italian up to and including 16 (Frenchseize, Italiansedici) have their own names. This is also the case in mostSlavic languages, Hindi-Urdu and other South Asian languages.[example needed]

Folklore

In Germany, according to an old tradition, 13 (dreizehn), as the first compound number, was the first number written in digits; the numbers 0 (null) through 12 (zwölf) were spelled out. TheDuden (the German standard dictionary) now calls this tradition (which was actually never written down as an official rule) outdated and no longer valid, but many writers still follow it.[4]

In English

Thirteen is one of two numbers within theteen numerical range (13–19), along with fifteen, not derived bycardinal numeral (three) and theteen suffix; instead, it is derived from theordinal numeral (third).

In religion

Islam

InShia, 13 signifies the13th day of the month ofRajab (the Lunar calendar), which is the birth of ImamAli.

Catholicism

In Catholic devotional practice, the number thirteen is also associated with SaintAnthony of Padua, since his feast day falls on June 13. A traditional devotion called the Thirteen Tuesdays of St. Anthony[5] involves praying to the saint every Tuesday over a period of thirteen weeks. Another devotion, St. Anthony's Chaplet, consists of thirteen decades of three beads each.[6]

Sikhism

According to famousSakhi (evidence) or the story ofGuru Nanak Dev Ji, when he was an accountant at a town ofSultanpur Lodhi, he was distributing groceries to people. When he gave groceries to the 13th person, he stopped because inGurmukhi and Hindi the word 13 is called terah, which means yours. And Guru Nanak Dev Ji kept saying, "Yours, yours, yours..." remembering God. People reported to the emperor that Guru Nanak Dev Ji was giving out free food to the people. When treasures were checked, there was more money than before.

Judaism

  • In Judaism, 13 signifies the age at which a boy matures and becomes a Bar Mitzvah,i.e., a full member of the Jewish faith (counts as a member of Minyan).

Wicca

A common tradition in the religionWicca holds that the number of members for acoven is ideally thirteen, though this tradition is not universal.[7]

Luck

Bad

Further information:Triskaidekaphobia
This elevator skips the number 13 and jumps from floor 12 to 14. The thirteenth floor continues to physically exist, but is now represented by the numerical symbols for the number 14.

The number 13 is considered an unlucky number in some countries.[8] The end of the Mayan calendar's 13th Baktun was superstitiously feared as a harbinger of the apocalyptic2012 phenomenon.[9] Fear of the number 13 has a specifically recognizedphobia, triskaidekaphobia, a word first recorded in 1911.[10] The superstitious sufferers of triskaidekaphobia try to avoid bad luck by keeping away from anything numbered or labelled thirteen. As a result, companies and manufacturers use another way of numbering or labelling to avoid the number, with hotels and tall buildings being conspicuous examples (thirteenth floor).[11] It is also considered unlucky to have thirteen guests at a table.Friday the 13th has been considered an unlucky day.[8]

There are a number of theories as to why the number thirteen became associated with bad luck, but none of them have been accepted as likely.[8]

The Last Supper
Jesus Christ'sLast Supper, there were thirteen people around the table, counting Christ and the twelve apostles. Some believe this is unlucky because one of those thirteen,Judas Iscariot, was the betrayer of Jesus Christ. From the 1890s, a number of English language sources relate the "unlucky" thirteen to an idea that at the Last Supper, Judas, thedisciple who betrayedJesus, was the 13th to sit at the table.[12]
Knights Templar
On Friday, 13 October 1307, KingPhilip IV of France ordered the arrest of theKnights Templar,[8] and most of the knights were tortured and killed.
Full moons
A year with 13 full moons instead of 12 posed problems for the monks in charge of the calendars. "This was considered a very unfortunate circumstance, especially by the monks who had charge of the calendar of thirteen months for that year, and it upset the regular arrangement of church festivals. For this reason, thirteen came to be considered an unlucky number."[13] However, a typical century has about 37 years that have 13 full moons, compared to 63 years with 12 full moons, and typically every third or fourth year has 13 full moons.[14]
A suppressed lunar cult
In ancient cultures, the number 13 represented femininity, because it corresponded to the number of lunar (menstrual) cycles in a year (13 × 28 = 364 days). The theory is that, as the solar calendar triumphed over the lunar, the number thirteen became anathema.[8][15]
Hammurabi's code
There is a myth that the earliest reference to thirteen being unlucky or evil is in the BabylonianCode of Hammurabi (circa 1780 BC), where the thirteenth law is said to be omitted. In fact, the original Code of Hammurabi has no numeration. The translation by L.W. King (1910), edited by Richard Hooker, omitted one article: If the seller have gone to (his) fate (i. e., have died), the purchaser shall recover damages in said case fivefold from the estate of the seller. Other translations of the Code of Hammurabi, for example the translation by Robert Francis Harper, include the 13th article.[16]

Good

See also:Lucky Thirteen (disambiguation)
Singer Taylor Swift considers the number 13 to be lucky & references throughout her work[17]
  • France: 13 was traditionally considered a lucky number in France prior to the First World War, and was used in numerical form as a good luck symbol on postcards and charms.[18]
  • Italy: 13 was the lucky number in the Italianfootball pools (Totocalcio). The Italian expression"fare tredici" (literally, "make thirteen") means to hit the jackpot.[19]
  • United States:Colgate University also considers 13 a lucky number. They were founded in 1819 by 13 men with 13 dollars, 13 prayers and 13 articles.[20] (To this day, members of the Colgate community consider the number 13 a good omen.) In fact, the campus address is 13 Oak Drive inHamilton, New York, and the malea cappella group is called the Colgate 13.

Other

Abaker's dozen, devil's dozen,[21] long dozen, or long measure is 13, one more than a standard dozen. The thirteenth loaf is called thevantage loaf because it is considered advantageous overall to get 13 loaves for the price of 12.[22]

In a tarot card deck, XIII is the card of Death, usually picturingthe Pale Horse with its rider.

Age 13

History

This article mayrequirecleanup to meet Wikipedia'squality standards. The specific problem is:This coverage of 13 in American heraldry must be shortened. It should be treated as no more or less important than the religious content. All of this non-math content must be strictly focused on the meaning of the number to these groups. Please helpimprove this article if you can.(January 2025) (Learn how and when to remove this message)
TheGreat Seal of the United States features several groupings which consist of 13 things of the same type e.g. 13 olive leaves, 13 stars, 13 arrows.
  • The United States of America was created fromthirteen British colonies and as such, the number thirteen is a commonly recurring motif inAmerican heraldry. For example, there are thirteen stars on theGreat Seal of the United States and there are thirteen stripes on theAmerican flag as well as thirteen rays on theFlag of Arizona.
    • The first flag of the United States bore thirteen stripes, alternating red and white, and thirteen white stars in the blue union. The thirteen stripes represented theThirteen Colonies from which the United States was created, and the thirteen stars represented the number of states in the new nation. When two new states were added to the Union in 1795, the flag bore fifteen stars and fifteen stripes. With the addition of five new states in 1818, the number of stripes was re-set and permanently fixed at thirteen.
    • TheGreat Seal of the United States bears many images of the number thirteen, representing theThirteen Colonies from which the United States was created. On the Seal's obverse, the overhead glory bears thirteen stars. The chest shield in front of the spread eagle bears thirteen stripes (seven white and six red). The eagle's right talon holds the Olive Branch of Peace, bearing thirteen olives and thirteen olive leaves. The eagle's left talon holds the Weapons of War, consisting of thirteen arrows. The eagle's mouth holds a scroll bearing the national motto "E Pluribus Unum" (which, by coincidence, consists of thirteen letters). On the Seal's reverse, the unfinished pyramid consists of thirteen levels.

In sports

This article mayrequirecleanup to meet Wikipedia'squality standards. The specific problem is:A lot of the content of this section really belongs under the luck section. Please helpimprove this article if you can.(January 2025) (Learn how and when to remove this message)

See also

Wikimedia Commons has media related to13 (number).

References

  1. ^Frazier, King of the Bean, and the Festival of Fools. Cited in Thompson, Tok. 2002.The thirteenth number: Then, there/ here and now.Studia Mythological Slavica5, 145–159.
  2. ^"Sloane's A007770 : Happy numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. RetrievedJune 1, 2016.
  3. ^"A000959 Lucky numbers. (Formerly M2616 N1035)".OEIS: The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. RetrievedOctober 31, 2018.
  4. ^"Duden | Schreibung von Zahlen bis 12".www.duden.de (in German). RetrievedMarch 23, 2020.
  5. ^"The Shrine of St. Anthony".shrineofstanthony.org.
  6. ^"Liturgical Year: Prayers: Chaplet of St. Anthony".catholicculture.org.
  7. ^Raymond Buckland (1986).Buckland's Complete Book of Witchcraft. St. Paul, MN:Llewellyn. pp. 17–18–53.ISBN 9780875420509. RetrievedFebruary 17, 2022.
  8. ^abcdeEmery, David."Why Is Friday the 13th Unlucky? - History and Folklore".About.com Entertainment. Archived fromthe original on January 16, 2017. RetrievedAugust 1, 2011.
  9. ^"Most Popular E-mail Newsletter".USA Today. November 24, 2011.
  10. ^"triskaidekaphobia".Oxford English Dictionary (Online ed.).Oxford University Press. (Subscription orparticipating institution membership required.)
  11. ^Fleischman, Sid (August 19, 2007)."The 13th Floor: A Ghost Story".The Washington Post. RetrievedJuly 26, 2008.
  12. ^Cecil Adams (1992-11-06)."Why is the number 13 considered unlucky?". The Straight Dope. Retrieved 2011-05-13.
  13. ^"The Really Strange Story Behind Sunday's Blue Moon".Space.com. November 19, 2010.
  14. ^Cooley, Keith (2008)."Full Moons 1900-2100". Johns Hopkins University Applied Physics Laboratory. Archived fromthe original on June 24, 2011. RetrievedAugust 1, 2011.
  15. ^Stan Gooch, Guardians of the Ancient Wisdom (1980)
  16. ^The Code of Hammurabi (Harper translation)
  17. ^What Makes Taylor Swift's Lucky Number 13 So Special? See Here;Outlook India; Dec 14, 2023
  18. ^Owen, Davies (2018).A Supernatural War: Magic, Divination, and Faith During the First World War. Oxford: Oxford University Press. p. 136.ISBN 9780198794554.
  19. ^"Tredici: Definizione e significato di tredici".dizionari.corriere.it. Dizionario di Italiano il Sabatini Coletti (in Italian). Archived fromthe original on June 22, 2019.
  20. ^"Colgate: History & Traditions". Colgate University. Archived fromthe original on August 14, 2007. RetrievedSeptember 1, 2007.
  21. ^"Definition of DEVIL'S DOZEN".www.merriam-webster.com. RetrievedMay 9, 2022.
  22. ^"Vantage loaf".Green's Dictionary of Slang. Oxford University Press. 2011.ISBN 978-0-19-982994-1. RetrievedJuly 22, 2020.
  23. ^"Origins of the Bar/Bat Mitzvah".ReformJudaism.org. October 19, 2012. “Today in almost all non-Orthodox congregations, all children mark symbolic entry into Jewish adulthood through b'nai mitzvah (bar or bat mitzvah) at age 13.”
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