58 (number)
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58 (fifty-eight) is the
natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called '' cardinal ...
following 57 and preceding 59.


In mathematics

Fifty-eight is an 11- gonal number, and a
Smith number In number theory, a Smith number is a composite number for which, in a given number base, the sum of its digits is equal to the sum of the digits in its prime factorization in the given number base. In the case of numbers that are not square-f ...
. Given 58, the
Mertens function In number theory, the Mertens function is defined for all positive integers ''n'' as : M(n) = \sum_^n \mu(k), where \mu(k) is the Möbius function. The function is named in honour of Franz Mertens. This definition can be extended to positive re ...
returns 0. 58 is the smallest integer whose
square root In mathematics, a square root of a number is a number such that ; in other words, a number whose ''square'' (the result of multiplying the number by itself, or  ⋅ ) is . For example, 4 and −4 are square roots of 16, because . ...
has a
continued fraction In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integ ...
with period 7. 58 is equal to the sum of the first seven consecutive prime numbers: 2 + 3 + 5 + 7 + 11 + 13 + 17 = 58. This is a difference of 1 from the 17th prime number and 7th super-prime, 59. There is no solution to the equation ''x'' – φ(''x'') = 58, making 58 a noncototient. However, the sum of the totient function for the first thirteen integers is 58. The regular icosahedron produces 58 distinct
stellation In geometry, stellation is the process of extending a polygon in two dimensions, polyhedron in three dimensions, or, in general, a polytope in ''n'' dimensions to form a new figure. Starting with an original figure, the process extends specific el ...
s. It's dual polyhedron, the
regular dodecahedron A regular dodecahedron or pentagonal dodecahedron is a dodecahedron that is regular, which is composed of 12 regular pentagonal faces, three meeting at each vertex. It is one of the five Platonic solids. It has 12 faces, 20 vertices, 30 edges, ...
, only produces three stellations, while the regular octahedron produces a single one, the stella octangula. Neither the
tetrahedron In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. The tetrahedron is the simplest of all the ...
nor the
cube In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. Viewed from a corner it is a hexagon and its net is usually depicted as a cross. The cube is the on ...
produce of any of these star polyhedra, which makes the icosahedron the
Platonic solid In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all e ...
with the most stellations. There are 58 distinct uniform polytopes in the fifth dimension that are generated from symmetries of three
Weyl group In mathematics, in particular the theory of Lie algebras, the Weyl group (named after Hermann Weyl) of a root system Φ is a subgroup of the isometry group of that root system. Specifically, it is the subgroup which is generated by reflections ...
s and
Coxeter group In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors). Indeed, the finite Coxeter groups are precisely the finite Euclidean ref ...
s, the A5 simplex group, B5 cubic group, and the D5 demihypercubic group. There are a total of 58 paracompact Coxeter groups of ranks four through ten. These solutions all contain infinite facets and
vertex figure In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off. Definitions Take some corner or vertex of a polyhedron. Mark a point somewhere along each connected edge. Draw lines ...
s, in contrast from
compact Compact as used in politics may refer broadly to a pact or treaty; in more specific cases it may refer to: * Interstate compact * Blood compact, an ancient ritual of the Philippines * Compact government, a type of colonial rule utilized in British ...
hyperbolic groups that contain finite elements; there no other such groups with higher or lower ranks.


In science

*The
atomic number The atomic number or nuclear charge number (symbol ''Z'') of a chemical element is the charge number of an atomic nucleus. For ordinary nuclei, this is equal to the proton number (''n''p) or the number of protons found in the nucleus of every ...
of
cerium Cerium is a chemical element with the symbol Ce and atomic number 58. Cerium is a soft, ductile, and silvery-white metal that tarnishes when exposed to air. Cerium is the second element in the lanthanide series, and while it often shows the +3 o ...
, a lanthanide.


Astronomy

*
Messier object The Messier objects are a set of 110 astronomical objects catalogued by the French astronomer Charles Messier in his ''Catalogue des Nébuleuses et des Amas d'Étoiles'' (''Catalogue of Nebulae and Star Clusters''). Because Messier was only i ...
M58, a magnitude 11.0
galaxy A galaxy is a system of stars, stellar remnants, interstellar gas, dust, dark matter, bound together by gravity. The word is derived from the Greek ' (), literally 'milky', a reference to the Milky Way galaxy that contains the Solar Sys ...
in the constellation
Virgo Virgo may refer to: * Virgo (astrology), the sixth astrological sign of the zodiac * Virgo (constellation), a constellation * Virgo Cluster, a cluster of galaxies in the constellation Virgo * Virgo Stellar Stream, remains of a dwarf galaxy *Virgo ...
. *The New General Cataloguebr>object
NGC 58, a
barred spiral galaxy A barred spiral galaxy is a spiral galaxy with a central bar-shaped structure composed of stars. Bars are found in about two thirds of all spiral galaxies, and generally affect both the motions of stars and interstellar gas within spiral galaxies ...
in the constellation
Cetus Cetus () is a constellation, sometimes called 'the whale' in English. The Cetus was a sea monster in Greek mythology which both Perseus and Heracles needed to slay. Cetus is in the region of the sky that contains other water-related conste ...
. It is also the object designated as NGC 47.


In music

* John Cage composition ''Fifty-Eight''. * ''Fifty-Eight Now Nine'', a collection of songs by Esther Lee. * 58 was the name of a side project involving Nikki Sixx of
Mötley Crüe Mötley Crüe is an American heavy metal band formed in Los Angeles in 1981. The group was founded by bassist Nikki Sixx, drummer Tommy Lee, lead guitarist Mick Mars and lead singer Vince Neil. Mötley Crüe has sold over 100 million albu ...
. They covered the song " Alone Again (Naturally)". * Band "Spur58". * "58 Poems" by
Chicago (''City in a Garden''); I Will , image_map = , map_caption = Interactive Map of Chicago , coordinates = , coordinates_footnotes = , subdivision_type = List of sovereign states, Count ...
.


In sports

In the NBA, the most points ever scored in a fourth quarter was 58 by the Buffalo Braves (at
Boston Celtics The Boston Celtics ( ) are an American professional basketball team based in Boston. The Celtics compete in the National Basketball Association (NBA) as a member of the league's Eastern Conference Atlantic Division. Founded in 1946 as one of ...
), October 20, 1972. The most points in a game by a rookie player:
Wilt Chamberlain Wilton Norman Chamberlain (; August 21, 1936 – October 12, 1999) was an American professional basketball player who played as a center. Standing at tall, he played in the National Basketball Association (NBA) for 14 years and is widely reg ...
, 58: Philadelphia vs. Detroit, January 25, 1960, and Philadelphia vs. New York Knicks, February 21, 1960. In
MotoGP Grand Prix motorcycle racing is the premier class of motorcycle road racing events held on road circuits sanctioned by the Fédération Internationale de Motocyclisme (FIM). Independent motorcycle racing events have been held since the start of ...
, 58 was the number of Marco Simoncelli who died in an accident at the Malaysian Round of the 2011 MotoGP season. MotoGP's governing body, the FIM, are considering to retire number 58 from use in MotoGP as they did before with the numbers 74 and 48 of
Daijiro Kato was a Japanese Grand Prix motorcycle road racer, the 2001 250cc world champion, and the 2000 and 2002 Suzuka 8 Hours winner. He died as a result of injuries sustained after a crash during the 2003 Japanese motorcycle Grand Prix at Suzuka Circuit ...
and Shoya Tomizawa, respectively. The retirement, from all motorcycle racing classes, eventually occurred in 2016, joining Kato's 74, the 34 of inaugural MotoGP champion Kevin Schwantz and the 65 of
Loris Capirossi Loris Capirossi (born 4 April 1973) is an Italian former Grand Prix motorcycle road racer, currently serving as Safety Advisor to Dorna Sports, the commercial rights holder of Grand Prix motorcycle racing. He is a 9-time Premier Class race wi ...
. On the
PGA Tour The PGA Tour (stylized in all capital letters as PGA TOUR by its officials) is the organizer of professional golf tours in the United States and North America. It organizes most of the events on the flagship annual series of tournaments also k ...
, 58 is the lowest score in an 18-hole round, achieved by
Jim Furyk James Michael Furyk (born May 12, 1970) is an American professional golfer who plays on the PGA Tour and the PGA Tour Champions. In 2010, he was the FedEx Cup champion and PGA Tour Player of the Year. He has won one major championship, the 200 ...
in the final round of the 2016 Travelers Championship at TPC River Highlands. In
Formula One Formula One (also known as Formula 1 or F1) is the highest class of international racing for open-wheel single-seater formula racing cars sanctioned by the Fédération Internationale de l'Automobile (FIA). The World Drivers' Championship ...
, 58 is the number of laps of the
Australian Grand Prix The Australian Grand Prix is an annual motor racing event which is under contract to host Formula One until 2035. One of the oldest surviving motorsport competitions held in Australia, the Grand Prix has moved frequently with 23 different venu ...
since
1996 File:1996 Events Collage.png, From left, clockwise: A bomb explodes at Centennial Olympic Park in Atlanta, set off by a radical anti-abortionist; The center fuel tank explodes on TWA Flight 800, causing the plane to crash and killing everyone on b ...
, when the Grand Prix held at Albert Park. In
cricket Cricket is a bat-and-ball game played between two teams of eleven players on a field at the centre of which is a pitch with a wicket at each end, each comprising two bails balanced on three stumps. The batting side scores runs by st ...
, both batsmen must cross the between their grounds to score one run.


In mythology

Belief in the existence of 58 original sins by several civilizations native to
Central America Central America ( es, América Central or ) is a subregion of the Americas. Its boundaries are defined as bordering the United States to the north, Colombia to the south, the Caribbean Sea to the east, and the Pacific Ocean to the west. ...
or
South America South America is a continent entirely in the Western Hemisphere and mostly in the Southern Hemisphere, with a relatively small portion in the Northern Hemisphere at the northern tip of the continent. It can also be described as the souther ...
caused the number to symbolize misfortune. Aztec oracles supposedly stumbled across the number an unnaturally high number of times before disaster fell. One famous recording of this, though largely discredited as mere folktale, concerned the oracle of
Moctezuma II Moctezuma Xocoyotzin ( – 29 June 1520; oteːkˈsoːmaḁ ʃoːkoˈjoːt͡sĩn̥), nci-IPA, Motēuczōmah Xōcoyōtzin, moteːkʷˈsoːma ʃoːkoˈjoːtsin variant spellings include Motewksomah, Motecuhzomatzin, Montezuma, Moteuczoma, Motecu ...
, who allegedly counted 58 pieces of
gold Gold is a chemical element with the symbol Au (from la, aurum) and atomic number 79. This makes it one of the higher atomic number elements that occur naturally. It is a bright, slightly orange-yellow, dense, soft, malleable, and ductile ...
scattered before a sacrificial pit the day prior to the arrival of
Hernán Cortés Hernán Cortés de Monroy y Pizarro Altamirano, 1st Marquess of the Valley of Oaxaca (; ; 1485 – December 2, 1547) was a Spanish '' conquistador'' who led an expedition that caused the fall of the Aztec Empire and brought large portions of w ...
.


In other fields

*The code for international direct dial phone calls to
Venezuela Venezuela (; ), officially the Bolivarian Republic of Venezuela ( es, link=no, República Bolivariana de Venezuela), is a country on the northern coast of South America, consisting of a continental landmass and many islands and islets in ...
*The number of usable cells on a '' Hexxagon'' game board *Book: ''58 Lonely Men: Southern Federal Judges and School
Desegregation Desegregation is the process of ending the separation of two groups, usually referring to races. Desegregation is typically measured by the index of dissimilarity, allowing researchers to determine whether desegregation efforts are having impact o ...
'' about 58 judges in the South during the '' Brown v. Board of Education'' decision *The number of
counties A county is a geographic region of a country used for administrative or other purposes Chambers Dictionary, L. Brookes (ed.), 2005, Chambers Harrap Publishers Ltd, Edinburgh in certain modern nations. The term is derived from the Old French ...
in
California California is a state in the Western United States, located along the Pacific Coast. With nearly 39.2million residents across a total area of approximately , it is the most populous U.S. state and the 3rd largest by area. It is also the ...
*The
minimum In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given r ...
wind speed (mph) needed to issue a
Severe Thunderstorm Warning A severe thunderstorm warning (SAME code: SVR) is a severe weather warning product issued by regional offices of weather forecasting agencies throughout the world to alert the public that severe thunderstorms are imminent or occurring. A sev ...
*The number of the French department
Nièvre Nièvre () is a department in the Bourgogne-Franche-Comté region, central-east France. Named after the river Nièvre, it had a population of 204,452 in 2019.SpongeBob SquarePants ''SpongeBob SquarePants'' (or simply ''SpongeBob'') is an American Animated series, animated Television comedy, comedy Television show, television series created by marine science educator and animator Stephen Hillenburg for Nickelodeon. It ...
'', Patrick claims that "58 is like the luckiest number ever." *''
58 Minutes ''58 Minutes'' is a 1987 thriller novel by American novelist Walter Wager. The novel was the basis for the 1990 film ''Die Hard 2''. Plot Frank Malone is a divorced NYPD captain who is waiting at JFK international airport in New York City for h ...
'' is a book by Walter Wager, on which the film ''
Die Hard 2 ''Die Hard 2'' (also known by its tagline ''Die Harder'')The film's onscreen title is ''Die Hard 2'', as also given at the initial home-video release'official website The film's original advertising used "Die Harder" as a tagline, and many rele ...
'' was based *'' I-58'' was the name of one of the Type B3 submarines that fought in World War II


See also

*
List of highways numbered 58 The following highways are numbered 58: International * European route E58 Australia * Riverina Highway Canada * Alberta Highway 58 * Highway 58 (Ontario) * Saskatchewan Highway 58 Finland * Finnish national road 58 India * National Highwa ...


References

{{Integers, zero Integers