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3,303

3,303 is a composite number, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

3,303 (three thousand three hundred three) is an odd 4-digit number. It is a composite number with 6 divisors, and factors as 3² × 367. Written other ways, in Roman numerals it is MMMCCCIII and in binary, 110011100111.

Cube-Free Deficient Number Evil Number Harshad / Niven Moran Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
12 bits
Reversed
3,033
Recamán's sequence
a(6,742) = 3,303
Square (n²)
10,909,809
Cube (n³)
36,035,099,127
Divisor count
6
σ(n) — sum of divisors
4,784
φ(n) — Euler's totient
2,196
Sum of prime factors
373

Primality

Prime factorization: 3 2 × 367

Nearest primes: 3,301 (−2) · 3,307 (+4)

Divisors & multiples

All divisors (6)
1 · 3 · 9 · 367 · 1101 · 3303
Aliquot sum (sum of proper divisors): 1,481
Factor pairs (a × b = 3,303)
1 × 3303
3 × 1101
9 × 367
First multiples
3,303 · 6,606 (double) · 9,909 · 13,212 · 16,515 · 19,818 · 23,121 · 26,424 · 29,727 · 33,030

Sums & aliquot sequence

As consecutive integers: 1,651 + 1,652 1,100 + 1,101 + 1,102 548 + 549 + 550 + 551 + 552 + 553 363 + 364 + … + 371
Aliquot sequence: 3,303 1,481 1 0 — terminates at zero

Continued fraction of √n

√3,303 = [57; (2, 8, 2, 1, 9, 1, 3, 2, 1, 5, 1, 2, 3, 1, 9, 1, 2, 8, 2, 114)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
three thousand three hundred three
Ordinal
3303rd
Roman numeral
MMMCCCIII
Binary
110011100111
Octal
6347
Hexadecimal
0xCE7
Base64
DOc=
One's complement
62,232 (16-bit)
Scientific notation
3.303 × 10³
As a duration
3,303 s = 55 minutes, 3 seconds
In other bases
ternary (3) 11112100
quaternary (4) 303213
quinary (5) 101203
senary (6) 23143
septenary (7) 12426
nonary (9) 4470
undecimal (11) 2533
duodecimal (12) 1ab3
tridecimal (13) 1671
tetradecimal (14) 12bd
pentadecimal (15) ea3

As an angle

3,303° = 9 × 360° + 63°
63° ≈ 1.1 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺
Greek (Milesian)
͵γτγʹ
Mayan (base 20)
𝋨·𝋥·𝋣
Chinese
三千三百零三
Chinese (financial)
參仟參佰零參
In other modern scripts
Eastern Arabic ٣٣٠٣ Devanagari ३३०३ Bengali ৩৩০৩ Tamil ௩௩௦௩ Thai ๓๓๐๓ Tibetan ༣༣༠༣ Khmer ៣៣០៣ Lao ໓໓໐໓ Burmese ၃၃၀၃

Digit at this position in famous constants

π — Pi (π)
Digit 3,303 = 3
e — Euler's number (e)
Digit 3,303 = 7
φ — Golden ratio (φ)
Digit 3,303 = 9
√2 — Pythagoras's (√2)
Digit 3,303 = 5
ln 2 — Natural log of 2
Digit 3,303 = 5
γ — Euler-Mascheroni (γ)
Digit 3,303 = 5

Also seen as

Unicode codepoint
Kannada Digit One
U+0CE7
Decimal digit (Nd)

UTF-8 encoding: E0 B3 A7 (3 bytes).

Hex color
#000CE7
RGB(0, 12, 231)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.231.

Address
0.0.12.231
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.12.231

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

Musical pitch

Heard as a frequency, 3,303 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, -10¢)
  • Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, +27¢)
  • Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, -9¢)
Position in π

The digit sequence 3303 first appears in π at position 3,833 of the decimal expansion (the 3,833ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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