13 (number)
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Cardinal | thirteen | |||
Ordinal | 13th (thirteenth) | |||
Numeral system | tredecimal | |||
Factorization | prime | |||
Prime | 6th | |||
Divisors | 1, 13 | |||
Greek numeral | ΙΓ´ | |||
Roman numeral | XIII | |||
Binary | 11012 | |||
Ternary | 1113 | |||
Senary | 216 | |||
Octal | 158 | |||
Duodecimal | 1112 | |||
Hexadecimal | D16 |
13 (thirteen /θɜːrˈtiːn/) is the natural number after 12 and before 14. It is the smallest number with eight letters in its name spelled out in English.
In speech, the numbers 13 and 30 are often confused. When carefully enunciated, they differ in which syllable is stressed: 13 /θərˈtiːn/ vs. 30 /ˈθɜːrti/. However, in dates such as 1300 ("thirteen hundred") or when contrasting numbers in the teens, such as 13, 14, 15, the stress shifts to the first syllable: 13 /ˈθɜːrtiːn/.
Strikingly similar folkloric aspects of the number 13 have been noted in various 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.
13 is also synonymous with a historic result in the 60-year-old history of the DCT Fives. In a sensational performance, a team featuring the now living legends Brian (Pirlo), John B (Graveson), Paul (Barry), Bill G (Baresi), Griff (Veron) and Lorimer (Ibrahimovic) humbled Finnan's team of himself, the two Ronnies, Baz, Martin and Kenny. [1]
In mathematics
The number 13 is the sixth prime number, and the smallest emirp (a prime that is a different prime when reversed).[2] It is also a Fibonacci number, a happy number, the third centered square number, and one of only 3 known Wilson primes.
Since 52 + 122 = 132, (5, 12, 13) forms a Pythagorean triple.
There are 13 Archimedean solids, and a standard torus can be sliced into 13 pieces with just 3 plane cuts.[2] There are also 13 different ways for the three fastest horses in a horse race to finish, allowing for ties, a fact that can be expressed mathematically by 13 being the third ordered Bell number.[3]
List of basic calculations
Multiplication | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 50 | 100 | 1000 | |||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
13 | 26 | 39 | 52 | 65 | 78 | 91 | 104 | 117 | 130 | 143 | 156 | 169 | 182 | 195 | 208 | 221 | 234 | 247 | 260 | 273 | 286 | 299 | 312 | 325 | 650 | 1300 | 13000 |
Exponentiation | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
13 | 169 | 2197 | 28561 | 371293 | 4826809 | 62748517 | 815730721 | 10604499373 | 137858491849 | 1792160394037 | 23298085122481 | 302875106592253 | ||
1 | 8192 | 1594323 | 67108864 | 1220703125 | 13060694016 | 96889010407 | 549755813888 | 2541865828329 | 10000000000000 | 34522712143931 | 106993205379072 | 302875106592253 |
In languages
Grammar
- In all Germanic languages (such as English and German), 13 is the first compound number (in German dreizehn); the numbers 11 and 12 have their own names (in German elf and zwölf).
- The Romance languages use different systems: In Italian, 11 is the first compound number (ùndici), while in Spanish and Portuguese, the numbers up to and including 15 (Spanish quince, Portuguese quinze), in French up to and including 16 (seize) and in Romanian up to and including 19 have their own names.
- Like in Italian, in many other languages, 11 is the first compound number, e.g. in Arabic, Chinese, Hungarian, Japanese, Swahili.
- Like in Romanian, in Lithuanian and Slavic languages, excluding Russian, the numbers from 11-19 have their own names.
- In Hindi-Urdu, nearly every number from 1–99 is irregular and must be memorized as a separate numeral.
Spelling
In Germany, according to an old rule, 13 as the first compound number was the first number written in digits; the numbers 0 through 12 were spelled out. The Duden (the German standard dictionary) now calls this rule outdated and no longer valid, but many writers still follow it.
For the English language, different systems are used: Sometimes it is recommended to spell out numbers up to and including nine or ten or twelve, like formerly in German, or even ninety-nine or one hundred. Another system spells out all numbers written in one or two words (sixteen, twenty-seven, fifteen thousand, but 372 or 15,001 ).
In religion
Roman Catholicism
The apparitions of the Virgin of Fátima in 1917 were claimed to occur on the 13th day of six consecutive months.[4]
In Catholic devotional practice, the number thirteen is also associated with Saint Anthony 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 famous Sakhi (Evidence) or story of Guru Nanak Dev Ji, when he was an accountant at a town of Sultanpur Lodhi, he was distributing grocery to people and when he gave groceries to the 13th person he stopped there because in Gurmukhi and Hindi the word 13 is called Terah, which means yours. And Guru Nanak Dev Ji kept on 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.
The Vaisakhi, which commemorates the creation of "Khalsa" or pure Sikh was celebrated on April 13 for many years.
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).
- The number of principles of Jewish faith according to Maimonides.
- According to Rabbinic commentary on the Torah, God has 13 Attributes of Mercy.
- The number of circles, or "nodes", that make up Metatron's Cube in Kaballistic teachings.
Zoroastrianism
The number 13 had been considered sinister and wicked in ancient Iranian civilization and Zoroastrianism. Since beginning of the Nourooz tradition, the 13th day of each new Iranian year is called Sizdah Be-dar, and this tradition is still alive among Iranian people both within modern Iran and abroad. Since Sizdah Be-dar is the 13th day of the year, it is considered a day when evil's power might cause difficulties for people. Therefore people leave urban areas for one day and camp in the countryside. Even in the current post-1979 Revolution era, and despite the wishes of Islamic government, this tradition continues to be practiced by the majority of the population throughout Iran.
Islam
In Shia Islam 13 signifies the 13th day of the month of Rajab (Lunar calendar), which is the birth of Imam Ali. 13 also is a total of 1 Prophet and 12 Imams in the Shia school of thought.
Other
- In Mesoamerican divination, 13 is the number of important cycles of fortune/misfortune (see Trecena).[citation needed]
- 13 is the age that adepts usually start to learn Witchcraft.[dubious – discuss]
- Traditionally, there are 13 witches in a coven.[citation needed]
- In a Pentagram with a circle ratio of 13, each arm of the star equals 12.36, the number of lunar months, days and hours in a solar year. Add the arms together and you get the number of full moons in five years.[citation needed]
- Many religions have 1 Messiah or Prophet and 12 followers for a total of 13.[citation needed]
Lucky and unlucky
Unlucky 13
The number 13 is considered an unlucky number in some countries.[7] Charles Stewart Parnell had an irrational fear of the number thirteen.[8] The end of the Mayan calendar's 13th Baktun was superstitiously feared as a harbinger of the apocalyptic 2012 phenomenon.[9] Fear of the number 13 has a specifically recognized phobia, Triskaidekaphobia, a word coined in 1911. 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 labeling to avoid the number, with hotels and tall buildings being conspicuous examples (thirteenth floor).[10] It's also considered unlucky to have thirteen guests at a table. Friday the 13th has been considered the unluckiest day of the month. [7]
The Code of Hammurabi consists of 282 laws, but does not have law number 13.
There are a number of theories behind the cause of the association between thirteen and bad luck, but none of them have been accepted as likely.[7]
The Last Supper
At Jesus Christ's last supper, there were thirteen people around the table, counting Christ and the twelve apostles. Some believe this unlucky because one of those thirteen, Judas Iscariot, was the betrayer of Jesus Christ.
Knights Templar
On Friday 13 October 1307, King Philip IV of France ordered the arrest of the Knights Templar.[7]
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."[11]
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.[12]
A repressed lunar cult
In ancient cultures, the number 13 represented femininity, because it corresponded to the number of lunar (menstrual) cycles in a year (13 x 28 = 364 days). The theory is that, as the solar calendar triumphed over the lunar, the number thirteen became anathema.[7][13]
Lucky 13
Several successful sports figures have worn the number 13. Park Ji-Sung, South-Korean footballer and midfielder for Queens Park Rangers wears number 13. Ozzie Guillén, manager of the 2005 World Series Champion Chicago White Sox, has worn the number throughout his baseball career. Alex Rodriguez began wearing it upon joining the New York Yankees (three, the number he had previously worn, is retired by the Bronx Bombers to honor Babe Ruth). Dan Marino, an American football player known for passing the 3rd most yards in NFL history, wore the number 13. Basketball great Wilt Chamberlain wore the number 13 on his jersey throughout his NBA career. Also, FIBA rules require a player to wear the number in international competitions (only numbers from 4 to 15 could be worn, and as there are 12 players, one must wear 13); Chris Mullin, who wore No. 20 in college and No. 17 in the NBA, wore No. 13 for both (1984 and 1992) of his Olympic appearances. Shaquille O'Neal wore No. 13 in 1996; Tim Duncan wore No. 13 in 2004. Steve Nash wore it for most of his basketball career. Yao Ming wore it in the 2008 Olympics in Beijing. Chris Paul wore the number 13 for both the 2008 and 2012 Olympics. Mats Sundin, Pavel Datsyuk, Bill Guerin, and Michael Cammalleri wear 13 in the NHL. One of Iceland's all time best handball players, Sigurður Sveinsson, wore the number 13 when he played for the national team. In association football, both Gerd Müller and Michael Ballack have favoured the number 13, among others.
In Italy, 13 is also considered a lucky number, although in Campania the expression 'tredici' (meaning 13) is said when one considers their luck to have turned for the worse.
Music
American born Horror-Punk singer and musician Joseph Poole (Murderdolls) uses the name Wednesday 13 as his stage name, taking "Wednesday" from the girl Wednesday from the Addams Family and 13 from Friday the 13th.
American country-pop singer-songwriter Taylor Swift was born on December 13. She considers 13 her lucky number due to lucky events happening to her when the number appears (her first album going gold in 13 weeks, being seated at awards shows in the 13th seat, row or section). She also wears the number written on her hand at her concerts so she has it with her everywhere she goes.
The heavy metal band, Megadeth, released their 13th studio album entitled TH1RT3EN on November 1, 2011. It consists of 13 tracks including the final song "13".
Famous American country singer and songwriter Johnny Cash first released his song called "Number Thirteen".
There are 13 notes, by inclusive counting, in a full chromatic musical octave.
The Band Big Star Wrote a song called 13
The Band Teenage Fanclub Named their album Thirteen after Big Star's song. The band were heavily influenced by Big Star.
American alternative rock band, Pixies recorded "Number 13 Baby" for their Doolittle LP. The lyrics to the song include the line: "Standing in her chinos shirt pulled off clean, gotta tattooed tit say number 13"
English alternative rock band Blur's sixth studio album, entitled 13 was released in 1999.
The British heavy metal pioneers Black Sabbath's latest studio album is entitled 13. It was released on 11 June 2013.
Other
Colgate University also considers 13 a lucky number. They were founded in 1819 by 13 men with 13 dollars, 13 prayers and 13 articles.[14] (To this day, members of the Colgate community consider the number 13 a good omen.) In fact, the campus address is 13 Oak Drive in Hamilton, New York, and the male a cappella group is called the Colgate 13.
In the Mayan Tzolk'in calendar, trecenas mark cycles of 13 day periods. The pyramids are also set up in 9 steps divided into 7 days and 6 nights, 13 days total.
In a tarot card deck, XIII is the card of Death, usually picturing the Pale horse with its rider.
Coperos
The number 13 in the Coperos religion (small culture in Brazil) is like a God number. All coperos must know that this number can save humankind.
History
The American flag has 13 stripes in honor of the first 13 colonies.
Apollo 13 was a NASA Moon mission famous for being a "successful failure" in that while the crew were unable to land on the Moon as planned due to a technical malfunction, they were returned safely home.
Age 13
- 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 (is qualified to be a member of Minyan).
In sports
In rugby league:
- Each side has 13 players on the field at any given time.
- The jersey number 13 is worn by the starting loose forward or lock forward in most competitions. An exception is in the European Super League, which uses static squad numbering.
The jersey number 13 has been retired by several North American sports teams, usually in honor of past playing greats:
- In Major League Baseball:
- The Cincinnati Reds, for Dave Concepción.
- In the NBA:
- The Charlotte Hornets, for Bobby Phills, who died in a 2000 auto accident while playing for the team. The franchise continues to honor the number in its current identity as the New Orleans Pelicans.
- The Golden State Warriors, Los Angeles Lakers, and Philadelphia 76ers, all for Hall of Famer Wilt Chamberlain.
- The Portland Trail Blazers, for Dave Twardzik.
- The San Antonio Spurs, for James Silas.
- In the NFL:
- The Miami Dolphins, for Hall of Famer Dan Marino.
- The New York Jets, for Hall of Famer Don Maynard.
- The Toronto Maple Leafs of the NHL have a policy of not retiring numbers unless the number's bearer either died or suffered a career-ending incident while a member of the team. Other players whose numbers would otherwise be retired instead have their numbers enshrined by the team as "Honoured Numbers", which remain in circulation for future players. The number 13 is currently honoured for Hall of Famer Mats Sundin.
In Formula One and triathlon, the number 13 is not used. As such, the numbering goes 11, 12, 14, 15 under the current numbering system.
In U.S. college athletics, schools that are members of NCAA Division I are allowed to provide athletic scholarships to a maximum of 13 men's basketball players in a given season.
In rugby union, the jersey number 13 is worn by one of the two starting centres, usually the outside centre but sometimes the inside centre.
The number 13 is the most-commonly registered jersey number in modern roller derby.[15]
In TV and films
- 13 (musical), a 2007 musical
- 13 (film), an English-language remake of the 2005 French film 13 Tzameti.
- Thirteen (film), a 2003 American film
- Number 13 (film), an uncompleted Hitchcock 1922 film
- 13 Tzameti, a 2005 French film ("Tzameti" means "13" in Georgian)
- 13 Ghosts is a 1960 horror film.
- Thirteen Ghosts a 2001 remake.
- Thirteen is the nickname of Dr. Remy Hadley on the American medical drama House played by Olivia Wilde.
- 13 Assassins is a 2010 film by Japanese director Takashi Miike
- The 13th Warrior is a 1999 historical fiction action film starring Antonio Banderas
- District 13 is a 2004 French film (with David Belle)
- Apollo 13 is a 1995 American film.
- 13 (Six Feet Under album) is an album from the American death metal band Six Feet Under.
- Warehouse 13 is a television show about the 13th warehouse in the line of warehouses that store supernatural artifacts.
- Friday The 13th is a horror film involving a "monster" called Jason Voorhees.
See also
References
- ^ 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 Slavica 5, 145–159.
- ^ a b Wells, D. The Penguin Dictionary of Curious and Interesting Numbers, London: Penguin Group. (1987): 67–71.
- ^ de Koninck, J. M. (2009), Those Fascinating Numbers, American Mathematical Society, p. 4, ISBN 9780821886311.
- ^ Rosemary Guiley, The Guinness Encyclopedia of Ghosts and Spirits, 1994, p. 215, ISBN 0-85112-748-7.
- ^ http://www.shrineofstanthony.org
- ^ http://www.catholicculture.org/culture
- ^ a b c d e http://urbanlegends.about.com/cs/historical/a/friday_the_13th.htm
- ^ Parnell, John Howard Charles Stewart Parnell: A Memoir New York Henry Holt and Company 1914 page 264
- ^ "Most Popular E-mail Newsletter". USA Today. November 24, 2011.
- ^ Fleischman, Sid (August 19, 2007). "The 13th Floor: A Ghost Story". The Washington Post Company. Retrieved July 26, 2008.
- ^ http://www.space.com/9566-strange-story-sunday-blue-moon.html
- ^ http://home.hiwaay.net/~krcool/Astro/moon/fullmoonU.htm
- ^ Stan Gooch, Guardians of the Ancient Wisdom (1980)
- ^ "Colgate: History & Traditions". Colgate University. Archived from the original on August 14, 2007. Retrieved September 1, 2007.
- ^ "International Rollergirls' Master Roster". http://www.twoevils.org/rollergirls/.
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