86 (number)
| ||||
---|---|---|---|---|
Cardinal | eighty-six | |||
Ordinal |
86th (eighty-sixth) | |||
Factorization | 2 × 43 | |||
Divisors | 1, 2, 43, 86 | |||
Roman numeral | LXXXVI | |||
Binary | 10101102 | |||
Ternary | 100123 | |||
Quaternary | 11124 | |||
Quinary | 3215 | |||
Senary | 2226 | |||
Octal | 1268 | |||
Duodecimal | 7212 | |||
Hexadecimal | 5616 | |||
Vigesimal | 4620 | |||
Base 36 | 2E36 |
86 (eighty-six) is the natural number following 85 and preceding 87.
In mathematics
86 is:
- nontotient[1] and a noncototient.[2]
- the 25th distinct semiprime and the 13th of the form (2.q).
- the middle number in the second cluster of three discrete semiprimes between 85 and 87 being themselves discrete semiprimes.
- an Erdős–Woods number, since it is possible to find sequences of 86 consecutive integers such that each inner member shares a factor with either the first or the last member.[3]
- a palindromic number and a repdigit in base 6 (2226) and 42 (2242).
- a happy number[4] and a self number in base 10.[5]
It appears in the Padovan sequence, preceded by the terms 37, 49, 65 (it is the sum of the first two of these).[6]
The aliquot sum of 86 is 46 within the aliquot sequence (86,46,26,16,15,9,4,3,1,0) 86 being the 17th composite number in the 3-aliquot tree.
It is conjectured that 86 is the largest n for which the decimal expansion of 2n contains no 0.[7]
86 = (8 × 6 = 48) + (4 × 8 = 32) + (3 × 2 = 6). That is, 86 is equal to the sum of the numbers formed in calculating its multiplicative persistence.
In science
- 86 is the atomic number of radon. There are 86 metals on the modern periodic table.
In slang
To 86 something means "be out of" an item (e.g., restaurants)[8] or banned from an establishment (e.g., casino.) The origin of the phrase is unclear, although the first known recorded instance of the phrase is from a 1944 book.[9]
In other fields
Eighty-six can also refer to:
- Part of the assignation for the Toyota AE86, commonly referred to as an "eight-six".
- Toyota 86, the coupe which made by Toyota and Subaru.
- The model number of F-86 Sabre and Ilyushin Il-86 aircraft.
- The model number of CPM-86 operating system.
- Part of the model number of the x86 microprocessors.
- The band Project 86 based its name on the usage of being 86'd.
- The novel Eighty-Sixed by David B. Feinberg details life as a gay man during the AIDS epidemic in 1980s New York City.
- The principal character of the TV series, Get Smart, Maxwell Smart, had been designated Agent 86.
- American band Green Day has a song called "86".
- The number of the French department Vienne. This number is also reflected in the department's postal code and in the name of a local basketball club, Poitiers Basket 86.
- +86 is the code for international direct dial phone calls to China.
- One of five ISBN Group Identifiers for books published in Serbia.
- Chick Hicks, the main villain in the Disney-Pixar film Cars (2006), is a race car who bears the number is 86. The number refers both to movie creators, Pixar's founding year, as well as the year Luxo Jr (their first short film) was released.
- An art gallery in Ventura, California displaying art pieces from such artists Billy Childish, Stacy Lande and Derek Hess; most of which include the number *86 hidden or overtly shown in the art; some of which fall under the genre of lowbrow.
- 86 is the device number for a lockout relay function in electrical engineering electrical circuit protection schemes.
- A U.S. passport applicant uses Department of State form DS-86 to cancel the application in the event of non-receipt.
- Hawk Nelson has a song called "Eighty-Six That (Anthem)" on their EP Saturday Night Action.
Cultural references
- In the 1947 song "Boogie Woogie Blue Plate" by Louis Jordan, one line is, "86 on the cherry pies."
- In the 1950s sci-fi film Forbidden Planet, paragraph 86a details the civilian evacuation procedure.
- In the 1980s musical Little Shop of Horrors, Audrey II asks Seymour to "eighty-six" people so she can feed on their blood.
- Also in 1980,the medication "mifepristone" was developed in France by the pharmaceutical company Roussel-Uclaf. It can be used to induce an early abortion. It is commonly known as RU-486, where "RU" stands for the initials of the company, and "486" is an arbitrary laboratory number. However, some commentators have suggested that RU-486 really means "aRe yoU FOR getting rid of" where "86" is an English slang term that means "throw out" or "get rid of."
See also
Notes
- ↑ "Sloane's A005277 : Nontotients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ↑ "Sloane's A005278 : Noncototients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ↑ "Sloane's A059756 : Erdős-Woods numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ↑ "Sloane's A007770 : Happy numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ↑ "Sloane's A003052 : Self numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ↑ "Sloane's A000931 : Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ↑ Zumkeller, Reinhard (2013-04-30). "A007377". Online Encyclopædia of Integer Sequences. Retrieved 2014-10-16.
- ↑ "eighty-six: verb [86] - WordReference Forums". Forum.wordreference.com. Retrieved 2012-12-04.
- ↑ "Etymology of 86". snopes.com. Retrieved 2012-12-04.
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