86 (number)

Short description: Natural number

| <- 85  | 86 |  87 ->

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← 80 81 82 83 84 85 86 87 88 89 →

List of numbers — Integers

← 0 10 20 30 40 50 60 70 80 90 →

Cardinal| eighty-six
Ordinal| 86th
(eighty-sixth)
Factorization| 2 × 43
Divisors| 1, 2, 43, 86
Greek numeral| ΠϚ´
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.

## Contents

* 1 In mathematics
* 2 In science
* 3 In other fields
* 4 See also
* 5 Notes

## In mathematics

86 is:

* nontotient[1] and a noncototient.[2]
* the 25th distinct semiprime and the 13th of the form (2.q).
* together with 85 and 87, forms the middle semiprime in the 2nd cluster of three consecutive semiprimes; the first comprising 33, 34, 35.[3]
* 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.[4]
* a happy number[5] and a self number in base 10.[6]
* with an aliquot sum of 46; itself a semiprime, within an aliquot sequence of seven members (86,46,26,16,15,9,4,3,1,0) in the Prime 3-aliquot tree.

It appears in the Padovan sequence, preceded by the terms 37, 49, 65 (it is the sum of the first two of these).[7]

It is conjectured that 86 is the largest n for which the decimal expansion of 2n contains no 0.[8]

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 American English, and particularly in the food service industry, 86 has become a slang term referring to an item being out of stock or discontinued, and by extension to a person no longer welcome on the premises.[9]
* 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, and 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.
* 86 is often used in Japan as the nickname for the Toyota AE86.
* 86 is the name of a series of Japanese science fiction light novels written by Asato Asato, later adapted as a manga and an anime.

## See also

* List of highways numbered 86

## Notes

1. ↑ Sloane, N. J. A., ed. "Sequence A005277 (Nontotients)". OEIS Foundation. https://oeis.org/A005277. Retrieved 2016-05-29.
2. ↑ Sloane, N. J. A., ed. "Sequence A005278 (Noncototients)". OEIS Foundation. https://oeis.org/A005278. Retrieved 2016-05-29.
3. ↑ Sloane, N. J. A., ed. "Sequence A056809". OEIS Foundation. https://oeis.org/A056809.
4. ↑ Sloane, N. J. A., ed. "Sequence A059756 (Erdős-Woods numbers)". OEIS Foundation. https://oeis.org/A059756. Retrieved 2016-05-29.
5. ↑ Sloane, N. J. A., ed. "Sequence A007770 (Happy numbers)". OEIS Foundation. https://oeis.org/A007770. Retrieved 2016-05-29.
6. ↑ Sloane, N. J. A., ed. "Sequence A003052 (Self numbers)". OEIS Foundation. https://oeis.org/A003052. Retrieved 2016-05-29.
7. ↑ Sloane, N. J. A., ed. "Sequence A000931 (Padovan sequence)". OEIS Foundation. https://oeis.org/A000931. Retrieved 2016-05-29.
8. ↑ Zumkeller, Reinhard (2013-04-30). "Sequence A007377". https://oeis.org/A007377.
9. ↑ "Where Did the Term 86 Come From?" (in en). 2013-08-13. https://www.mentalfloss.com/article/51880/where-did-term-86-come.

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