number.wiki
Number

303

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

303 (three hundred three) is an odd 3-digit number. It is a composite number with 4 divisors, and factors as 3 × 101. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is CCCIII and in binary, 100101111.

Arithmetic Number Cube-Free Deficient Number Evil Number Palindrome Recamán's Sequence Semiprime Squarefree Undulating Number Year

Interestingness

7 notable facts · grade B
less more

Historical context — 303 AD

Calendar year

Year 303 (CCCIII) was a common year starting on Friday of the Julian calendar.

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

Historical context — 303 BC

Calendar year

Year 303 BC was a year of the pre-Julian Roman calendar.

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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 303
Ended on
Thursday
December 31, 303
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
300s
300–309
Century
4th century
301–400
Millennium
1st millennium
1–1000
Years ago
1,723
1723 years before 2026.

In other calendars

Hebrew
4063 / 4064 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Water zodiac:Pig
Sexagenary cycle position 60 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
846 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
295 / 296 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
225 / 224 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
6
Digit product
0
Digital root
6
Palindrome
Yes
Bit width
9 bits
Recamán's sequence
a(642) = 303
Square (n²)
91,809
Cube (n³)
27,818,127
Divisor count
4
σ(n) — sum of divisors
408
φ(n) — Euler's totient
200
Sum of prime factors
104

Primality

Prime factorization: 3 × 101

Nearest primes: 293 (−10) · 307 (+4)

Divisors & multiples

All divisors (4)
1 · 3 · 101 · 303
Aliquot sum (sum of proper divisors): 105
Factor pairs (a × b = 303)
1 × 303
3 × 101
First multiples
303 · 606 (double) · 909 · 1,212 · 1,515 · 1,818 · 2,121 · 2,424 · 2,727 · 3,030

Sums & aliquot sequence

As consecutive integers: 151 + 152 100 + 101 + 102 48 + 49 + 50 + 51 + 52 + 53
Aliquot sequence: 303 105 87 33 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√303 = [17; (2, 2, 5, 2, 2, 34)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
three hundred three
Ordinal
303rd
Roman numeral
CCCIII
Binary
100101111
Octal
457
Hexadecimal
0x12F
Base64
AS8=
One's complement
65,232 (16-bit)
Scientific notation
3.03 × 10²
As a duration
303 s = 5 minutes, 3 seconds
In other bases
ternary (3) 102020
quaternary (4) 10233
quinary (5) 2203
senary (6) 1223
septenary (7) 612
nonary (9) 366
undecimal (11) 256
duodecimal (12) 213
tridecimal (13) 1a4
tetradecimal (14) 179
pentadecimal (15) 153

As an angle

303°
303° ≈ 5.288 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓏺𓏺𓏺
Greek (Milesian)
τγʹ
Mayan (base 20)
𝋯·𝋣
Chinese
三百零三
Chinese (financial)
參佰零參
In other modern scripts
Eastern Arabic ٣٠٣ Devanagari ३०३ Bengali ৩০৩ Tamil ௩௦௩ Thai ๓๐๓ Tibetan ༣༠༣ Khmer ៣០៣ Lao ໓໐໓ Burmese ၃၀၃

Digit at this position in famous constants

π — Pi (π)
Digit 303 = 2
e — Euler's number (e)
Digit 303 = 5
φ — Golden ratio (φ)
Digit 303 = 6
√2 — Pythagoras's (√2)
Digit 303 = 8
ln 2 — Natural log of 2
Digit 303 = 3
γ — Euler-Mascheroni (γ)
Digit 303 = 5

Also seen as

Unicode codepoint
į
Latin Small Letter I With Ogonek
U+012F
Lowercase letter (Ll)

UTF-8 encoding: C4 AF (2 bytes).

Hex color
#00012F
RGB(0, 1, 47)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.47.

Address
0.0.1.47
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.1.47

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

NANP area code 303

The number 303 is an active NANP area code (North American Numbering Plan).

Primary area
Denver
Region
Colorado
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.

Musical pitch

Heard as a frequency, 303 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯4 (311.1 Hz, -46¢ — about midway to D4)
  • Scientific pitch (C4 = 256 Hz): D♯4 (304.4 Hz, -8¢)
  • Baroque pitch (A4 = 415 Hz): E4 (310.9 Hz, -45¢ — about midway to D♯4)

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.