806
806 is a composite number, even, a calendar year.
Historical context — 806 AD
Calendar year
Year 806 (DCCCVI) was a common year starting on Thursday of the Julian calendar, the 806th year of the Common Era (CE) and Anno Domini (AD) designations, the 806th year of the 1st millennium, the 6th year of the 9th century, and the 7th year of the 800s decade.
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Historical context — 806 BC
Decade
This article concerns the period 809 BC – 800 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
-
Sunday
January 1, 806
- Ended on
-
Sunday
December 31, 806
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
800s
800–809
- Century
-
9th century
801–900
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,220
1220 years before 2026.
In other calendars
- Hebrew
-
4566 / 4567 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
190 / 191 AH
Lunar calendar; year spans differ from Gregorian.
- 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
-
1349 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
184 / 185 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
798 / 799 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
728 / 727 Saka
Indian national calendar; year starts in March.
Properties
- Parity
- Even
- Digit count
- 3
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 10 bits
- Reversed
- 608
- Flips to (rotate 180°)
- 908
- Recamán's sequence
- a(2,136) = 806
- Square (n²)
- 649,636
- Cube (n³)
- 523,606,616
- Divisor count
- 8
- σ(n) — sum of divisors
- 1,344
- φ(n) — Euler's totient
- 360
- Sum of prime factors
- 46
Primality
Prime factorization: 2 × 13 × 31
Divisors & multiples
Sums & aliquot sequence
Representations
- In words
- eight hundred six
- Ordinal
- 806th
- Roman numeral
- DCCCVI
- Binary
- 1100100110
- Octal
- 1446
- Hexadecimal
- 0x326
- Base64
- AyY=
- One's complement
- 64,729 (16-bit)
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ωϛʹ
- Mayan (base 20)
- 𝋢·𝋠·𝋦
- Chinese
- 八百零六
- Chinese (financial)
- 捌佰零陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 806 = 4
- e — Euler's number (e)
- Digit 806 = 5
- φ — Golden ratio (φ)
- Digit 806 = 7
- √2 — Pythagoras's (√2)
- Digit 806 = 8
- ln 2 — Natural log of 2
- Digit 806 = 5
- γ — Euler-Mascheroni (γ)
- Digit 806 = 0
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 806, here are decompositions:
- 19 + 787 = 806
- 37 + 769 = 806
- 67 + 739 = 806
- 73 + 733 = 806
- 79 + 727 = 806
- 97 + 709 = 806
- 163 + 643 = 806
- 193 + 613 = 806
Showing the first eight; more decompositions exist.
UTF-8 encoding: CC A6 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.38.
- Address
- 0.0.3.38
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.3.38
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The number 806 is an active NANP area code (North American Numbering Plan).
- Primary area
- Amarillo / Lubbock
- Region
- Texas
- 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.
This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.
Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.