86 (number)

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← 85 86 87 →
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[edit]

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]

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[edit]

In slang[edit]

Main article: 86 (term)

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[edit]

Eighty-six can also refer to:

Cultural references[edit]

  • 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[edit]

Notes[edit]

  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.