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Number

814

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

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 814 AD

Calendar year

Year 814 (DCCCXIV) was a common year starting on Sunday of the Julian calendar, the 814th year of the Common Era (CE) and Anno Domini (AD) designations, the 814th year of the 1st millennium, the 14th year of the 9th century, and the 5th year of the 810s decade.

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Historical context — 814 BC

Decade

This article concerns the period 819 BC – 810 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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
Wednesday
January 1, 814
Ended on
Wednesday
December 31, 814
Friday the 13ths
1
One Friday the 13th this year.
Decade
810s
810–819
Century
9th century
801–900
Millennium
1st millennium
1–1000
Years ago
1,212
1212 years before 2026.

In other calendars

Hebrew
4574 / 4575 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
198 / 199 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Horse
Sexagenary cycle position 31 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1357 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
192 / 193 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
806 / 807 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
736 / 735 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
13
Digit product
32
Digital root
4
Palindrome
No
Bit width
10 bits
Reversed
418
Recamán's sequence
a(2,120) = 814
Square (n²)
662,596
Cube (n³)
539,353,144
Divisor count
8
σ(n) — sum of divisors
1,368
φ(n) — Euler's totient
360
Sum of prime factors
50

Primality

Prime factorization: 2 × 11 × 37

Nearest primes: 811 (−3) · 821 (+7)

Divisors & multiples

All divisors (8)
1 · 2 · 11 · 22 · 37 · 74 · 407 (half) · 814
Aliquot sum (sum of proper divisors): 554
Factor pairs (a × b = 814)
1 × 814
2 × 407
11 × 74
22 × 37
First multiples
814 · 1,628 (double) · 2,442 · 3,256 · 4,070 · 4,884 · 5,698 · 6,512 · 7,326 · 8,140

Sums & aliquot sequence

As consecutive integers: 202 + 203 + 204 + 205 69 + 70 + … + 79 4 + 5 + … + 40
Aliquot sequence: 814 554 280 440 640 890 730 602 454 230 202 104 106 56 64 63 41 — unresolved within range

Representations

In words
eight hundred fourteen
Ordinal
814th
Roman numeral
DCCCXIV
Binary
1100101110
Octal
1456
Hexadecimal
0x32E
Base64
Ay4=
One's complement
64,721 (16-bit)
In other bases
ternary (3) 1010011
quaternary (4) 30232
quinary (5) 11224
senary (6) 3434
septenary (7) 2242
nonary (9) 1104
undecimal (11) 680
duodecimal (12) 57a
tridecimal (13) 4a8
tetradecimal (14) 422
pentadecimal (15) 394

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
ωιδʹ
Mayan (base 20)
𝋢·𝋠·𝋮
Chinese
八百一十四
Chinese (financial)
捌佰壹拾肆
In other modern scripts
Eastern Arabic ٨١٤ Devanagari ८१४ Bengali ৮১৪ Tamil ௮௧௪ Thai ๘๑๔ Tibetan ༨༡༤ Khmer ៨១៤ Lao ໘໑໔ Burmese ၈၁၄

Digit at this position in famous constants

π — Pi (π)
Digit 814 = 6
e — Euler's number (e)
Digit 814 = 4
φ — Golden ratio (φ)
Digit 814 = 6
√2 — Pythagoras's (√2)
Digit 814 = 9
ln 2 — Natural log of 2
Digit 814 = 3
γ — Euler-Mascheroni (γ)
Digit 814 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 814, here are decompositions:

  • 3 + 811 = 814
  • 5 + 809 = 814
  • 17 + 797 = 814
  • 41 + 773 = 814
  • 53 + 761 = 814
  • 71 + 743 = 814
  • 113 + 701 = 814
  • 131 + 683 = 814

Showing the first eight; more decompositions exist.

Unicode codepoint
̮
Combining Breve Below
U+032E
Non-spacing mark (Mn)

UTF-8 encoding: CC AE (2 bytes).

Hex color
#00032E
RGB(0, 3, 46)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.46.

Address
0.0.3.46
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.46

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

NANP area code 814

The number 814 is an active NANP area code (North American Numbering Plan).

Primary area
Erie / State College
Region
Pennsylvania
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.