86 (number)
From HandWiki
Short description: Natural number
| ||||
|---|---|---|---|---|
| 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.
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
- ↑ Sloane, N. J. A., ed. "Sequence A005277 (Nontotients)". OEIS Foundation. https://oeis.org/A005277. Retrieved 2016-05-29.
- ↑ Sloane, N. J. A., ed. "Sequence A005278 (Noncototients)". OEIS Foundation. https://oeis.org/A005278. Retrieved 2016-05-29.
- ↑ Sloane, N. J. A., ed. "Sequence A056809". OEIS Foundation. https://oeis.org/A056809.
- ↑ Sloane, N. J. A., ed. "Sequence A059756 (Erdős-Woods numbers)". OEIS Foundation. https://oeis.org/A059756. Retrieved 2016-05-29.
- ↑ Sloane, N. J. A., ed. "Sequence A007770 (Happy numbers)". OEIS Foundation. https://oeis.org/A007770. Retrieved 2016-05-29.
- ↑ Sloane, N. J. A., ed. "Sequence A003052 (Self numbers)". OEIS Foundation. https://oeis.org/A003052. Retrieved 2016-05-29.
- ↑ Sloane, N. J. A., ed. "Sequence A000931 (Padovan sequence)". OEIS Foundation. https://oeis.org/A000931. Retrieved 2016-05-29.
- ↑ Zumkeller, Reinhard (2013-04-30). "Sequence A007377". https://oeis.org/A007377.
- ↑ "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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