86 (number)

86 (eighty-six) is the natural number following 85 and preceding 87.

← 85 86 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

• List of highways numbered 86

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.