86 (number)

From Wikipedia, the free encyclopedia
← 85 86 87 →
← 80 81 82 83 84 85 86 87 88 89 →
List of numbers — Integers
← 0 10 20 30 40 50 60 70 80 90 →
Cardinaleighty-six
Ordinal86th
(eighty-sixth)
Factorization2 × 43
Divisors1, 2, 43, 86
Greek numeralΠϚ´
Roman numeralLXXXVI
Binary10101102
Ternary100123
Octal1268
Duodecimal7212
Hexadecimal5616

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).
  • 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 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]

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 other fields[]

  • In the food service industry, to be “86’ed” means to be completely out of an item.[8]
  • 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.
  • 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. Likely originating in reference to this device number, in American English 86 has become a slang term for cancelling something.
  • 86 is often used in Japan as the nickname for the Toyota AE86.

See also[]

Notes[]

  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. ^ "Where Did the Term 86 Come From?". www.mentalfloss.com. 2013-08-13. Retrieved 2021-10-30.
Retrieved from ""