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Number

86

86 is a composite number, even, a calendar year.

86 (eighty-six) is an even 2-digit number. It is a composite number with 4 divisors, and factors as 2 × 43. Written other ways, in Roman numerals it is LXXXVI and in binary, 1010110.

Arithmetic Number Cube-Free Deficient Number Evil Number Flippable Happy Number Padovan Number Recamán's Sequence Self Number Semiprime Squarefree Year

Interestingness

9 notable facts · grade A
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Historical context — 86 AD

Calendar year

AD 86 (LXXXVI) was a common year starting on Sunday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 86 BC

Calendar year

Year 86 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Tuesday
January 1, 86
Ended on
Tuesday
December 31, 86
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
80s
80–89
Century
1st century
1–100
Millennium
1st millennium
1–1000
Years ago
1,940
1940 years before 2026.

In other calendars

Hebrew
3846 / 3847 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Fire zodiac:Dog
Sexagenary cycle position 23 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
629 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
78 / 79 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
8 / 7 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
2
Digit sum
14
Digit product
48
Digital root
5
Palindrome
No
Bit width
7 bits
Reversed
68
Flips to (rotate 180°)
98
Recamán's sequence
a(55) = 86
Square (n²)
7,396
Cube (n³)
636,056
Divisor count
4
σ(n) — sum of divisors
132
φ(n) — Euler's totient
42
Sum of prime factors
45

Primality

Prime factorization: 2 × 43

Nearest primes: 83 (−3) · 89 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 43 (half) · 86
Aliquot sum (sum of proper divisors): 46
Factor pairs (a × b = 86)
1 × 86
2 × 43
First multiples
86 · 172 (double) · 258 · 344 · 430 · 516 · 602 · 688 · 774 · 860

Sums & aliquot sequence

As consecutive integers: 20 + 21 + 22 + 23
Aliquot sequence: 86 46 26 16 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√86 = [9; (3, 1, 1, 1, 8, 1, 1, 1, 3, 18)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
eighty-six
Ordinal
86th
Roman numeral
LXXXVI
Binary
1010110
Octal
126
Hexadecimal
0x56
Base64
Vg==
One's complement
169 (8-bit)
Scientific notation
8.6 × 10¹
As a duration
86 s = 1 minute, 26 seconds
In other bases
ternary (3) 10012
quaternary (4) 1112
quinary (5) 321
senary (6) 222
septenary (7) 152
nonary (9) 105
undecimal (11) 79
duodecimal (12) 72
tridecimal (13) 68
tetradecimal (14) 62
pentadecimal (15) 5b
Palindromic in base 6

As an angle

86°
86° ≈ 1.501 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
πϛʹ
Mayan (base 20)
𝋤·𝋦
Chinese
八十六
Chinese (financial)
捌拾陸
In other modern scripts
Eastern Arabic ٨٦ Devanagari ८६ Bengali ৮৬ Tamil ௮௬ Thai ๘๖ Tibetan ༨༦ Khmer ៨៦ Lao ໘໖ Burmese ၈၆

Digit at this position in famous constants

π — Pi (π)
Digit 86 = 0
e — Euler's number (e)
Digit 86 = 3
φ — Golden ratio (φ)
Digit 86 = 2
√2 — Pythagoras's (√2)
Digit 86 = 3
ln 2 — Natural log of 2
Digit 86 = 8
γ — Euler-Mascheroni (γ)
Digit 86 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 86, here are decompositions:

  • 3 + 83 = 86
  • 7 + 79 = 86
  • 13 + 73 = 86
  • 19 + 67 = 86
  • 43 + 43 = 86
ASCII character

As an ASCII codepoint, 86 is V. Printable ASCII character V.

Hex color
#000056
RGB(0, 0, 86)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.86.

Address
0.0.0.86
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.86

Unspecified address (0.0.0.0/8) — "this network" placeholder.

US numbered highway

Matches numbered highway designation:

  • I-86 — Two segments: New York's Southern Tier and Idaho.
Musical pitch

Heard as a frequency, 86 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F2 (87.3 Hz, -26¢)
  • Scientific pitch (C4 = 256 Hz): F2 (85.4 Hz, +12¢)
  • Baroque pitch (A4 = 415 Hz): F♯2 (87.2 Hz, -25¢)
(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 86 is D6 (1174.7 Hz at concert pitch).

Atomic number

On the periodic table, atomic number 86 is Radon (Rn) — period 6.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.