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* [[nontotient]]<ref>{{Cite web|url=https://oeis.org/A005277|title=Sloane's A005277 : Nontotients|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref> and a [[noncototient]].<ref>{{Cite web|url=https://oeis.org/A005278|title=Sloane's A005278 : Noncototients|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref>
* [[nontotient]]<ref>{{Cite web|url=https://oeis.org/A005277|title=Sloane's A005277 : Nontotients|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref> and a [[noncototient]].<ref>{{Cite web|url=https://oeis.org/A005278|title=Sloane's A005278 : Noncototients|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref>
* the 25th distinct [[semiprime]] and the 13th of the form (2.q).
* 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.<ref>{{Cite web|url=https://oeis.org/A059756|title=Sloane's A059756 : Erdős-Woods numbers|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref>
* 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.<ref>{{Cite web|url=https://oeis.org/A059756|title=Sloane's A059756 : Erdős-Woods numbers|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref>
* a [[palindromic number]] and a [[repdigit]] in base 6 (222<sub>6</sub>) and 42 (22<sub>42</sub>).
* a [[happy number]]<ref>{{Cite web|url=https://oeis.org/A007770|title=Sloane's A007770 : Happy numbers|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref> and a [[self number]] in base 10.<ref>{{Cite web|url=https://oeis.org/A003052|title=Sloane's A003052 : Self numbers|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref>
* a [[happy number]]<ref>{{Cite web|url=https://oeis.org/A007770|title=Sloane's A007770 : Happy numbers|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref> and a [[self number]] in base 10.<ref>{{Cite web|url=https://oeis.org/A003052|title=Sloane's A003052 : Self numbers|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref>


It appears in the [[Padovan sequence]], preceded by the terms 37, 49, 65 (it is the sum of the first two of these).<ref>{{Cite web|url=https://oeis.org/A000931|title=Sloane's A000931 : Padovan sequence|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref>
It appears in the [[Padovan sequence]], preceded by the terms 37, 49, 65 (it is the sum of the first two of these).<ref>{{Cite web|url=https://oeis.org/A000931|title=Sloane's A000931 : Padovan sequence|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-29}}</ref>

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 [[conjecture]]d that 86 is the largest n for which the [[decimal expansion]] of 2<sup>n</sup> contains no 0.<ref>{{Cite web|url = http://oeis.org/A007377|title = A007377|date = 2013-04-30|accessdate = 2014-10-16|website = Online Encyclopædia of Integer Sequences|publisher = |last = Zumkeller|first = Reinhard}}</ref>
It is [[conjecture]]d that 86 is the largest n for which the [[decimal expansion]] of 2<sup>n</sup> contains no 0.<ref>{{Cite web|url = http://oeis.org/A007377|title = A007377|date = 2013-04-30|accessdate = 2014-10-16|website = Online Encyclopædia of Integer Sequences|publisher = |last = Zumkeller|first = Reinhard}}</ref>

Revision as of 00:12, 16 May 2017

← 85 86 87 →
Cardinaleighty-six
Ordinal86th
(eighty-sixth)
Factorization2 × 43
Divisors1, 2, 43, 86
Greek numeralΠϚ´
Roman numeralLXXXVI
Binary10101102
Ternary100123
Senary2226
Octal1268
Duodecimal7212
Hexadecimal5616

86 (eighty-six) is the natural number following 85 and preceding 87.

In mathematics

86 is:

It appears in the Padovan sequence, preceded by the terms 37, 49, 65 (it is the sum of the first two of these).[6]

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

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:

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, [citation needed] 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

  1. ^ "Sloane's A005277 : Nontotients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  2. ^ "Sloane's A005278 : Noncototients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  3. ^ "Sloane's A059756 : Erdős-Woods numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  4. ^ "Sloane's A007770 : Happy numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  5. ^ "Sloane's A003052 : Self numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  6. ^ "Sloane's A000931 : Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  7. ^ Zumkeller, Reinhard (2013-04-30). "A007377". Online Encyclopædia of Integer Sequences. Retrieved 2014-10-16.
  8. ^ "eighty-six: verb [86] - WordReference Forums". Forum.wordreference.com. Retrieved 2012-12-04.
  9. ^ "Etymology of 86". snopes.com. Retrieved 2012-12-04.