# 86 (number)

 ← 85 86 87 →
Cardinaleighty-six
Ordinal86th
(eighty-sixth)
Factorization2 × 43
Divisors1, 2, 43, 86
Greek numeralΠϚ´
Roman numeralLXXXVI
Binary10101102
Ternary100123
Quaternary11124
Quinary3215
Senary2226
Octal1268
Duodecimal7212
Vigesimal4620
Base 362E36

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

## In mathematics

86 is:

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.

## 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.