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Number

813

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

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

Historical context — 813 AD

Calendar year

813 (DCCCXIII) was a common year starting on Saturday of the Julian calendar, the 813th year of the Common Era (CE) and Anno Domini (AD) designations, the 813th year of the 1st millennium, the 13th year of the 9th century, and the 4th year of the 810s decade.

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

Historical context — 813 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
Tuesday
January 1, 813
Ended on
Tuesday
December 31, 813
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
810s
810–819
Century
9th century
801–900
Millennium
1st millennium
1–1000
Years ago
1,213
1213 years before 2026.

In other calendars

Hebrew
4573 / 4574 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
197 / 198 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Snake
Sexagenary cycle position 30 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1356 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
191 / 192 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
805 / 806 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
735 / 734 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
12
Digit product
24
Digital root
3
Palindrome
No
Bit width
10 bits
Reversed
318
Recamán's sequence
a(2,122) = 813
Square (n²)
660,969
Cube (n³)
537,367,797
Divisor count
4
σ(n) — sum of divisors
1,088
φ(n) — Euler's totient
540
Sum of prime factors
274

Primality

Prime factorization: 3 × 271

Nearest primes: 811 (−2) · 821 (+8)

Divisors & multiples

All divisors (4)
1 · 3 · 271 · 813
Aliquot sum (sum of proper divisors): 275
Factor pairs (a × b = 813)
1 × 813
3 × 271
First multiples
813 · 1,626 (double) · 2,439 · 3,252 · 4,065 · 4,878 · 5,691 · 6,504 · 7,317 · 8,130

Sums & aliquot sequence

As consecutive integers: 406 + 407 270 + 271 + 272 133 + 134 + 135 + 136 + 137 + 138
Aliquot sequence: 813 275 97 1 0 — terminates at zero

Representations

In words
eight hundred thirteen
Ordinal
813th
Roman numeral
DCCCXIII
Binary
1100101101
Octal
1455
Hexadecimal
0x32D
Base64
Ay0=
One's complement
64,722 (16-bit)
In other bases
ternary (3) 1010010
quaternary (4) 30231
quinary (5) 11223
senary (6) 3433
septenary (7) 2241
nonary (9) 1103
undecimal (11) 67a
duodecimal (12) 579
tridecimal (13) 4a7
tetradecimal (14) 421
pentadecimal (15) 393

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
ωιγʹ
Mayan (base 20)
𝋢·𝋠·𝋭
Chinese
八百一十三
Chinese (financial)
捌佰壹拾參
In other modern scripts
Eastern Arabic ٨١٣ Devanagari ८१३ Bengali ৮১৩ Tamil ௮௧௩ Thai ๘๑๓ Tibetan ༨༡༣ Khmer ៨១៣ Lao ໘໑໓ Burmese ၈၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 813 = 4
e — Euler's number (e)
Digit 813 = 2
φ — Golden ratio (φ)
Digit 813 = 8
√2 — Pythagoras's (√2)
Digit 813 = 7
ln 2 — Natural log of 2
Digit 813 = 1
γ — Euler-Mascheroni (γ)
Digit 813 = 1

Also seen as

Unicode codepoint
̭
Combining Circumflex Accent Below
U+032D
Non-spacing mark (Mn)

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

Hex color
#00032D
RGB(0, 3, 45)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.45.

Address
0.0.3.45
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.45

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

NANP area code 813

The number 813 is an active NANP area code (North American Numbering Plan).

Primary area
Tampa
Region
Florida
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.