Number

803

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

803 (eight hundred three) is an odd 3-digit number. It is a composite number with 4 divisors, and factors as 11 × 73. Written other ways, in Roman numerals it is DCCCIII and in binary, 1100100011.

Arithmetic Number Cube-Free Deficient Number Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

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7 notable facts · grade B

791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815

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Historical context — 803 AD

Calendar year

Year 803 (DCCCIII) was a common year starting on Sunday of the Julian calendar.

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

Historical context — 803 BC

Decade

This article concerns the period 809 BC – 800 BC.

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: Wednesday
January 1, 803
Ended on: Wednesday
December 31, 803
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 800s
800–809
Century: 9th century
801–900
Millennium: 1st millennium
1–1000
Years ago: 1,223
1223 years before 2026.

In other calendars

Hebrew: 4563 / 4564 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 186 / 188 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Goat
Sexagenary cycle position 20 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1346 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 181 / 182 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 795 / 796 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 725 / 724 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 10 bits
Reversed: 308
Recamán's sequence: a(2,142) = 803
Square (n²): 644,809
Cube (n³): 517,781,627
Divisor count: 4
σ(n) — sum of divisors: 888
φ(n) — Euler's totient: 720
Sum of prime factors: 84

Primality

Prime factorization: 11 × 73

Nearest primes: 797 (−6) · 809 (+6)

Divisors & multiples

All divisors (4)

1 · 11 · 73 · 803

Aliquot sum (sum of proper divisors): 85

Factor pairs (a × b = 803)

1 × 803

11 × 73

First multiples

803 · 1,606 (double) · 2,409 · 3,212 · 4,015 · 4,818 · 5,621 · 6,424 · 7,227 · 8,030

Sums & aliquot sequence

As consecutive integers: 401 + 402 68 + 69 + … + 78 26 + 27 + … + 47

Aliquot sequence: 803 → 85 → 23 → 1 → 0 — terminates at zero

Continued fraction of √n

√803 = [28; (2, 1, 27, 1, 2, 56)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: eight hundred three
Ordinal: 803rd
Roman numeral: DCCCIII
Binary: 1100100011
Octal: 1443
Hexadecimal: 0x323
Base64: AyM=
One's complement: 64,732 (16-bit)
Scientific notation: 8.03 × 10²
As a duration: 803 s = 13 minutes, 23 seconds

In other bases

ternary (3) 1002202

quaternary (4) 30203

quinary (5) 11203

senary (6) 3415

septenary (7) 2225

nonary (9) 1082

undecimal (11) 670

duodecimal (12) 56b

tridecimal (13) 49a

tetradecimal (14) 415

pentadecimal (15) 388

Palindromic in base 4, base 16

As an angle

803° = 2 × 360° + 83°

83° ≈ 1.449 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺
Greek (Milesian): ωγʹ
Mayan (base 20): 𝋢·𝋠·𝋣
Chinese: 八百零三
Chinese (financial): 捌佰零參

In other modern scripts

Eastern Arabic ٨٠٣ Devanagari ८०३ Bengali ৮০৩ Tamil ௮௦௩ Thai ๘๐๓ Tibetan ༨༠༣ Khmer ៨០៣ Lao ໘໐໓ Burmese ၈၀၃

Digit at this position in famous constants

π — Pi (π): Digit 803 = 0
e — Euler's number (e): Digit 803 = 4
φ — Golden ratio (φ): Digit 803 = 4
√2 — Pythagoras's (√2): Digit 803 = 8
ln 2 — Natural log of 2: Digit 803 = 7
γ — Euler-Mascheroni (γ): Digit 803 = 8

Also seen as

Unicode codepoint

Combining Dot Below

U+0323

Non-spacing mark (Mn)

UTF-8 encoding: CC A3 (2 bytes).

Lookup U+0323 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000323

RGB(0, 3, 35)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.35.

Address: 0.0.3.35
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.35

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

NANP area code 803

The number 803 is an active NANP area code (North American Numbering Plan).

Primary area: Columbia
Region: South Carolina
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.

Look up area code 803 ↗

Musical pitch

Heard as a frequency, 803 Hz is closest to:

Concert pitch (A4 = 440 Hz): G5 (784 Hz, +41¢)
Scientific pitch (C4 = 256 Hz): G♯5 (812.7 Hz, -21¢)
Baroque pitch (A4 = 415 Hz): G♯5 (783.4 Hz, +43¢)