859
859 is a prime, odd, a calendar year.
859 (eight hundred fifty-nine) is an odd 3-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is DCCCLIX and in binary, 1101011011.
Interestingness
Historical context — 859 AD
Calendar year
Year 859 (DCCCLIX) was a common year starting on Sunday of the Julian calendar.
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Historical context — 859 BC
Decade
This article concerns the period 859 BC – 850 BC.
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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
-
Wednesday
January 1, 859
- Ended on
-
Wednesday
December 31, 859
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
850s
850–859
- Century
-
9th century
801–900
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,167
1167 years before 2026.
In other calendars
- Hebrew
-
4619 / 4620 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
244 / 245 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Earth zodiac:Rabbit
Sexagenary cycle position 16 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1402 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
237 / 238 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
851 / 852 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
781 / 780 Saka
Indian national calendar; year starts in March.
Properties
Primality
859 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√859 = [29; (3, 4, 5, 1, 1, 1, 2, 2, 3, 2, 19, 9, 1, 2, 1, 1, 4, 1, 3, 11, 2, 6, 29, 6, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- eight hundred fifty-nine
- Ordinal
- 859th
- Roman numeral
- DCCCLIX
- Binary
- 1101011011
- Octal
- 1533
- Hexadecimal
- 0x35B
- Base64
- A1s=
- One's complement
- 64,676 (16-bit)
- Scientific notation
- 8.59 × 10²
- As a duration
- 859 s = 14 minutes, 19 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ωνθʹ
- Mayan (base 20)
- 𝋢·𝋢·𝋳
- Chinese
- 八百五十九
- Chinese (financial)
- 捌佰伍拾玖
Digit at this position in famous constants
- π — Pi (π)
- Digit 859 = 3
- e — Euler's number (e)
- Digit 859 = 4
- φ — Golden ratio (φ)
- Digit 859 = 1
- √2 — Pythagoras's (√2)
- Digit 859 = 0
- ln 2 — Natural log of 2
- Digit 859 = 2
- γ — Euler-Mascheroni (γ)
- Digit 859 = 4
Also seen as
UTF-8 encoding: CD 9B (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.91.
- Address
- 0.0.3.91
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.3.91
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The number 859 is an active NANP area code (North American Numbering Plan).
- Primary area
- Lexington / Northern Kentucky
- Region
- Kentucky
- Country
- United States
Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.
Heard as a frequency, 859 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A5 (880 Hz, -42¢)
- Scientific pitch (C4 = 256 Hz): A5 (861.1 Hz, -4¢)
- Baroque pitch (A4 = 415 Hz): A♯5 (879.4 Hz, -41¢)
Related reading
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.