86 (number)
Appearance
(Redirected from Eighty-six)
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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 | |||
Senary | 2226 | |||
Octal | 1268 | |||
Duodecimal | 7212 | |||
Hexadecimal | 5616 |
86 (eighty-six) is the natural number following 85 and preceding 87.
In mathematics
[edit]86 is:
- nontotient[1] and a noncototient.[2]
- the 25th distinct semiprime[3] 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.[4]
- 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.[5]
- a happy number[6] and a self number in base 10.[7]
- 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).[8]
It is conjectured that 86 is the largest n for which the decimal expansion of 2n contains no 0.[9]
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]- 86 is the atomic number of radon.
- There are 86 metals on the modern periodic table.
In other fields
[edit]- 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.[10]
- 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
[edit]Notes
[edit]- ^ Sloane, N. J. A. (ed.). "Sequence A005277 (Nontotients)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A005278 (Noncototients)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A006881 (Squarefree semiprimes: Numbers that are the product of two distinct primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A056809 (Numbers k such that k, k+1 and k+2 are products of two primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A059756 (Erdős-Woods numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A007770 (Happy numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A003052 (Self numbers or Colombian numbers (numbers that are not of the form m + sum of digits of m for any m))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000931 (Padovan sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A007377 (Numbers k such that the decimal expansion of 2^k contains no 0)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "Where Did the Term 86 Come From?". www.mentalfloss.com. 2013-08-13. Retrieved 2021-10-30.
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