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Number

85

85 is a composite number, odd, a calendar year.

85 (eighty-five) is an odd 2-digit number. It is a composite number with 4 divisors, and factors as 5 × 17. Written other ways, in Roman numerals it is LXXXV and in binary, 1010101.

Arithmetic Number Binary Palindrome Centered Square Centered Triangular Cube-Free Decagonal Deficient Number Evil Number Jacobsthal Number Octahedral Number Recamán's Sequence Semiprime Smith Number Squarefree Year

Interestingness

12 notable facts · grade A
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Historical context — 85 AD

Calendar year

AD 85 (LXXXV) was a common year starting on Saturday of the Julian calendar.

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

Historical context — 85 BC

Calendar year

Year 85 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
Monday
January 1, 85
Ended on
Monday
December 31, 85
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
1,941
1941 years before 2026.

In other calendars

Hebrew
3845 / 3846 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Wood zodiac:Rooster
Sexagenary cycle position 22 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
628 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
77 / 78 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
7 / 6 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
2
Digit sum
13
Digit product
40
Digital root
4
Palindrome
No
Bit width
7 bits
Reversed
58
Recamán's sequence
a(53) = 85
Square (n²)
7,225
Cube (n³)
614,125
Divisor count
4
σ(n) — sum of divisors
108
φ(n) — Euler's totient
64
Sum of prime factors
22

Primality

Prime factorization: 5 × 17

Nearest primes: 83 (−2) · 89 (+4)

Divisors & multiples

All divisors (4)
1 · 5 · 17 · 85
Aliquot sum (sum of proper divisors): 23
Factor pairs (a × b = 85)
1 × 85
5 × 17
First multiples
85 · 170 (double) · 255 · 340 · 425 · 510 · 595 · 680 · 765 · 850

Sums & aliquot sequence

As a sum of two squares: 2² + 9² = 6² + 7²
As consecutive integers: 42 + 43 15 + 16 + 17 + 18 + 19 4 + 5 + … + 13
Aliquot sequence: 85 23 1 0 — terminates at zero

Continued fraction of √n

√85 = [9; (4, 1, 1, 4, 18)]

Period length 5 — the block in parentheses repeats forever.

Representations

In words
eighty-five
Ordinal
85th
Roman numeral
LXXXV
Binary
1010101
Octal
125
Hexadecimal
0x55
Base64
VQ==
One's complement
170 (8-bit)
Scientific notation
8.5 × 10¹
As a duration
85 s = 1 minute, 25 seconds
In other bases
ternary (3) 10011
quaternary (4) 1111
quinary (5) 320
senary (6) 221
septenary (7) 151
nonary (9) 104
undecimal (11) 78
duodecimal (12) 71
tridecimal (13) 67
tetradecimal (14) 61
pentadecimal (15) 5a
Palindromic in base 2, base 4, base 7

As an angle

85°
85° ≈ 1.484 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
πεʹ
Mayan (base 20)
𝋤·𝋥
Chinese
八十五
Chinese (financial)
捌拾伍
In other modern scripts
Eastern Arabic ٨٥ Devanagari ८५ Bengali ৮৫ Tamil ௮௫ Thai ๘๕ Tibetan ༨༥ Khmer ៨៥ Lao ໘໕ Burmese ၈၅

Digit at this position in famous constants

π — Pi (π)
Digit 85 = 8
e — Euler's number (e)
Digit 85 = 1
φ — Golden ratio (φ)
Digit 85 = 7
√2 — Pythagoras's (√2)
Digit 85 = 0
ln 2 — Natural log of 2
Digit 85 = 5
γ — Euler-Mascheroni (γ)
Digit 85 = 6

Also seen as

ASCII character

As an ASCII codepoint, 85 is U. Printable ASCII character U.

Hex color
#000055
RGB(0, 0, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.85.

Address
0.0.0.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.85

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

US numbered highway

Matches numbered highway designation:

  • I-85 — Montgomery, AL to Petersburg, VA.
Musical pitch

Heard as a frequency, 85 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F2 (87.3 Hz, -46¢ — about midway to E2)
  • Scientific pitch (C4 = 256 Hz): F2 (85.4 Hz, -9¢)
  • Baroque pitch (A4 = 415 Hz): F♯2 (87.2 Hz, -45¢ — about midway to F2)
(very low — many laptop and phone speakers can't reproduce it)

As a MIDI note number, 85 is C♯6 (1108.7 Hz at concert pitch).

Atomic number

On the periodic table, atomic number 85 is Astatine (At) — period 6.

Related reading