86 (number)

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← 85 86 87 →
Cardinaleighty-six
Ordinal86th
(eighty-sixth)
Factorization2 × 43
Divisors1, 2, 43, 86
Greek numeralΠϚ´
Roman numeralLXXXVI
Binary10101102
Ternary100123
Quaternary11124
Quinary3215
Senary2226
Octal1268
Duodecimal7212
Hexadecimal5616
Vigesimal4620
Base 362E36

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]

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]

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]

See also[edit]

Notes[edit]

  1. ^ Sloane, N. J. A. (ed.). "Sequence A005277 (Nontotients)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A005278 (Noncototients)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A059756 (Erdős-Woods numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A007770 (Happy numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  5. ^ Sloane, N. J. A. (ed.). "Sequence A003052 (Self numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  6. ^ Sloane, N. J. A. (ed.). "Sequence A000931 (Padovan sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  7. ^ Zumkeller, Reinhard (2013-04-30). "Sequence 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.