86 (number)
86 (eighty-six) is the natural number following 85 and preceding 87.
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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 | |||
| Octal | 1268 | |||
| Duodecimal | 7212 | |||
| Hexadecimal | 5616 | |||
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
- 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
- Sloane, N. J. A. (ed.). "Sequence A005277 (Nontotients)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- Sloane, N. J. A. (ed.). "Sequence A005278 (Noncototients)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- Sloane, N. J. A. (ed.). "Sequence A059756 (Erdős-Woods numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- Sloane, N. J. A. (ed.). "Sequence A007770 (Happy numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- Sloane, N. J. A. (ed.). "Sequence A003052 (Self numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- Sloane, N. J. A. (ed.). "Sequence A000931 (Padovan sequence)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- Zumkeller, Reinhard (2013-04-30). "Sequence A007377". Online Encyclopædia of Integer Sequences. Retrieved 2014-10-16.
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