86 (number)
Encyclopedia
86 is the natural number
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 85
85 (number)
85 is the natural number following 84 and preceding 86.-In mathematics:85 is an octahedral number, a centered triangular number, a centered square number, a decagonal number, and a Smith number....

 and preceding 87
87 (number)
87 is the natural number following 86 and preceding 88.-In mathematics:Eighty-seven is the twenty-sixth distinct semiprime and the eighth of the form . The aliquot sum of 87 is 33 within the aliquot sequence 86 being the eighteenth composite number in the 3-aliquot tree.Eighty-seven is the sum of...

.

In mathematics

86 is the 25th 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 13th of the form (2.q). The aliquot sum of 86 is 46 within the aliquot sequence
Aliquot sequence
In mathematics, an aliquot sequence is a recursive sequence in which each term is the sum of the proper divisors of the previous term. The aliquot sequence starting with a positive integer k can be defined formally in terms of the sum-of-divisors function σ1 in the following way:For example, the...

 (86,46,26,16,15,9,4,3,1,0) 86 being the 17th composite number in the 3-aliquot tree.

86 is the middle number in the second cluster of three discrete semiprimes between 85 and 87 being themselves discrete semiprimes.

86 is a 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, ... ....

, nontotient
Nontotient
In number theory, a nontotient is a positive integer n which is not in the range of Euler's totient function φ, that is, for which φ = n has no solution. In other words, n is a nontotient if there is no integer x that has exactly n coprimes below it. All odd numbers are nontotients, except 1,...

, a noncototient
Noncototient
In mathematics, a noncototient is a positive integer n that cannot be expressed as the difference between a positive integer m and the number of coprime integers below it. That is, m − φ = n, where φ stands for Euler's totient function, has no solution for m...

, a happy number
Happy number
A happy number is defined by the following process. Starting with any positive integer, replace the number by the sum of the squares of its digits, and repeat the process until the number equals 1 , or it loops endlessly in a cycle which does not include 1...

, and a self number
Self number
A self number, Colombian number or Devlali number is an integer which, in a given base, cannot be generated by any other integer added to the sum of that other integer's digits. For example, 21 is not a self number, since it can be generated by the sum of 15 and the digits comprising 15, that is,...

. It 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 37, 49, 65 (it is the sum of the first two of these).

Since it is possible to find sequences of 86 consecutive integers such that each inner member member shares a factor with either the first or the last member, 86 is an Erdős–Woods number
Erdos–Woods number
In number theory, an Erdős–Woods number is a positive integer that has the following property:Consider a sequence of consecutive positive integers [a, a+1, \dots, a+k]. The number k is an Erdős–Woods number if there exists such a sequence, beginning with some number a, in which each of the elements...

.

86 is a 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....

 in base 6 (222).

In science

86 is the atomic number
Atomic number
In 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 radon
Radon
Radon is a chemical element with symbol Rn and atomic number 86. It is a radioactive, colorless, odorless, tasteless noble gas, occurring naturally as the decay product of uranium or thorium. Its most stable isotope, 222Rn, has a half-life of 3.8 days...

. There are 86 metals on the modern periodic table
Periodic table
The periodic table of the chemical elements is a tabular display of the 118 known chemical elements organized by selected properties of their atomic structures. Elements are presented by increasing atomic number, the number of protons in an atom's atomic nucleus...

.

In other fields

Eighty-six is also:
  • 86 (term)
    86 (term)
    "86","86'd", "86ed", or eighty-sixed when used as a verb in American English, is a slang term for refusing service or getting rid of something. The etymology of the term is uncertain...

    , a slang term
  • The capital letter V
    V
    V is the twenty-second letter in the basic modern Latin alphabet.-Letter:The letter V comes from the Semitic letter Waw, as do the modern letters F, U, W, and Y. See F for details....

     in the ASCII
    ASCII
    The American Standard Code for Information Interchange is a character-encoding scheme based on the ordering of the English alphabet. ASCII codes represent text in computers, communications equipment, and other devices that use text...

     character encoding.
  • Part of the assignation for the Toyota Trueno GT-Apex (AE86)
    Toyota AE86
    The AE86 generation of the Toyota Corolla Levin and Toyota Sprinter Trueno is a small, lightweight coupe introduced by Toyota in 1983 as part of the fifth generation Toyota Corolla lineup. For the purpose of brevity, the insider-chassis code of "AE86" is used to describe the whole range...

    , commonly referred to as an "eight-six".
  • The model number of F-86 Sabre
    F-86 Sabre
    The North American F-86 Sabre was a transonic jet fighter aircraft. Produced by North American Aviation, the Sabre is best known as America's first swept wing fighter which could counter the similarly-winged Soviet MiG-15 in high speed dogfights over the skies of the Korean War...

     and Ilyushin Il-86
    Ilyushin Il-86
    The Ilyushin Il-86 is a medium-range wide-body jet airliner. It was the USSR's first wide-body and the world's second four-engined wide-body...

     aircraft.
  • The model number of CPM-86 operating system.
  • Part of the model number of the X86 microprocessors.
  • The band Project 86
    Project 86
    Project 86 is an American Christian rock band from Orange County, California, formed in 1996. The line-up consists of bassist Steven Dail, vocalist and songwriter Andrew Schwab, and guitarist Randy Torres. The band has released seven studio albums, which have collectively sold over 500,000 units...

     based its name on the usage of being 86'd.
  • The novel Eighty-Sixed by David B. Feinberg
    David B. Feinberg
    David Barish Feinberg was an American writer and AIDS activist.-Early life:Born in Lynn, Massachusetts, Feinberg grew up in Syracuse, New York...

     details life as a gay man during the AIDS epidemic in 1980s New York City
    New York City
    New York is the most populous city in the United States and the center of the New York Metropolitan Area, one of the most populous metropolitan areas in the world. New York exerts a significant impact upon global commerce, finance, media, art, fashion, research, technology, education, and...

    .
  • The principal character of the TV series, Get Smart
    Get Smart
    Get Smart is an American comedy television series that satirizes the secret agent genre. Created by Mel Brooks with Buck Henry, the show starred Don Adams , Barbara Feldon , and Edward Platt...

    , Maxwell Smart, had been designated Agent 86.
  • American band Green Day
    Green Day
    Green Day is an American punk rock band formed in 1987. The band consists of lead vocalist and guitarist Billie Joe Armstrong, bassist and backing vocalist Mike Dirnt, and drummer Tre Cool...

     has a song called "86".
  • The number of the French department Vienne
    Vienne
    Vienne is the northernmost département of the Poitou-Charentes region of France, named after the river Vienne.- Viennese history :Vienne is one of the original 83 departments, established on March 4, 1790 during the French Revolution. It was created from parts of the former provinces of Poitou,...

    .
  • The designation of two highways named Interstate 86, one in Idaho
    Idaho
    Idaho is a state in the Rocky Mountain area of the United States. The state's largest city and capital is Boise. Residents are called "Idahoans". Idaho was admitted to the Union on July 3, 1890, as the 43rd state....

     and the other in Pennsylvania
    Pennsylvania
    The Commonwealth of Pennsylvania is a U.S. state that is located in the Northeastern and Mid-Atlantic regions of the United States. The state borders Delaware and Maryland to the south, West Virginia to the southwest, Ohio to the west, New York and Ontario, Canada, to the north, and New Jersey to...

     and New York
    New York
    New York is a state in the Northeastern region of the United States. It is the nation's third most populous state. New York is bordered by New Jersey and Pennsylvania to the south, and by Connecticut, Massachusetts and Vermont to the east...

    .
  • +86 is the code for international direct dial phone calls to China
    China
    Chinese civilization may refer to:* China for more general discussion of the country.* Chinese culture* Greater China, the transnational community of ethnic Chinese.* History of China* Sinosphere, the area historically affected by Chinese culture...

    .
  • One of five ISBN Group Identifiers for books published in Serbia
    Serbia
    Serbia , officially the Republic of Serbia , is a landlocked country located at the crossroads of Central and Southeast Europe, covering the southern part of the Carpathian basin and the central part of the Balkans...

    .
  • Chick Hicks the villain in the movie Cars
    Cars (film)
    Cars is a 2006 American animated family film produced by Pixar and directed by John Lasseter and co-directed by Joe Ranft. It is the seventh Disney·Pixar feature film, and Pixar's final, independently-produced motion picture before its purchase by Disney...

    is a stock car whose number is 86. The number refers both to movie creators, Pixar
    Pixar
    Pixar Animation Studios, pronounced , is an American computer animation film studio based in Emeryville, California. The studio has earned 26 Academy Awards, seven Golden Globes, and three Grammy Awards, among many other awards and acknowledgments. Its films have made over $6.3 billion worldwide...

    's founding year, as well as the year Luxo Jr (their first short film) was released.
  • An art gallery in Ventura, CA displaying art pieces from such artists Billy Childish
    Billy Childish
    Billy Childish is an English artist, painter, author, poet, photographer, film maker, singer and guitarist...

    , Stacy Lande
    Stacy Lande
    -Biography:Stacy Lande was born in Granada Hills, in the San Fernando Valley region of Los Angeles, California. From an early age she took pride in both stage performance and her art. Lande was formally trained in art at California State University, Northridge...

     and Derek Hess
    Derek Hess
    Derek Hess is an American artist based in Cleveland, Ohio. His creative career grew largely out of his ability to express the emotion in the indie, hardcore and hard rock scenes of the mid-1990s...

    ; most of which include the number *86 hidden or overtly shown in the art; some of which fall under the genre of lowbrow
    Lowbrow (art movement)
    Lowbrow, or lowbrow art, describes an underground visual art movement that arose in the Los Angeles, California, area in the late 1970s. Lowbrow is a widespread populist art movement with origins in the underground comix world, punk music, hot-rod street culture, and other subcultures. It is also...

    .
  • 86 is the device number
    ANSI Device Numbers
    In the design of electrical power systems, the ANSI Standard Device Numbers denote what features a protective device supports . These types of devices protect electrical systems and components from damage when an unwanted event occurs, such as an electrical fault...

     for a lockout relay function in electrical engineering
    Electrical engineering
    Electrical engineering is a field of engineering that generally deals with the study and application of electricity, electronics and electromagnetism. The field first became an identifiable occupation in the late nineteenth century after commercialization of the electric telegraph and electrical...

     electrical circuit protection schemes.
  • A US passport applicant uses US Department of State form DS-86 to cancel a US passport application in the event of non-receipt.
  • Hawk Nelson
    Hawk Nelson
    Hawk Nelson is a Christian rock band from Peterborough, Ontario. The band has become very popular in the Christian music scene and was voted "Favorite New Artist" by CCM Magazine in their February 2006 Reader's Choice Awards. In 2006 Hawk Nelson won a No...

     has a song called "Eighty-Six That (Anthem)" on their EP Saturday Night Action.
  • In certain circles, 86 is understood to be a "funny number." In these circles, the number is useful in many comedic applications.

See also the year AD 86, 86 BC
86 BC
Year 86 BC was a year of the pre-Julian Roman calendar. At the time it was known as the Year of the Consulship of Cinna and Marius/Flaccus...

, or 1986.

Cultural references

  • In Forbidden Planet
    Forbidden Planet
    Forbidden Planet is a 1956 science fiction film directed by Fred M. Wilcox, with a screenplay by Cyril Hume. It stars Leslie Nielsen, Walter Pidgeon, and Anne Francis. The characters and its setting have been compared to those in William Shakespeare's The Tempest, and its plot contains certain...

    , paragraph 86a details the civilian evacuation procedure.
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