# 86 (number)

 ← 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
Vigesimal 4620
Base 36 2E36

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]

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 slang

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

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, 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."

## 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.
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