86 (number)
In this article we will explore 86 (number), a fascinating topic that has captured the attention of experts and hobbyists alike. From its impact on society to its implications in the scientific field, 86 (number) has aroused unprecedented interest in recent years. In the following pages, we will examine the different facets of 86 (number), from its origins to its evolution today. Through in-depth analysis and concrete examples, we hope to provide an enriching and insightful look at 86 (number), so that our readers can better understand its importance and influence in the contemporary world.
| ||||
|---|---|---|---|---|
| Cardinal | eighty-six | |||
| Ordinal | 86th (eighty-sixth) | |||
| Factorization | 2 × 43 | |||
| Divisors | 1, 2, 43, 86 | |||
| Greek numeral | ΠϚ´ | |||
| Roman numeral | LXXXVI, 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
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 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.[10]
- 86, particularly "Hachi-Roku (ハチロク)," is often used in Japan as the nickname for the Toyota AE86.
Notes
- ^ 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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