Live analysis

3,003

3,003 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.).

3,003 (three thousand three) is an odd 4-digit number. It is a composite number with 16 divisors, and factors as 3 × 7 × 11 × 13. It is the 77th triangular number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is MMMIII and in binary, 101110111011.

Arithmetic Number Cube-Free Deficient Number Gapful Number Hexagonal Odious Number Palindrome Recamán's Sequence Squarefree Triangular

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

2,991 2,992 2,993 2,994 2,995 2,996 2,997 2,998 2,999 3,000 3,001 3,002 3,003 3,004 3,005 3,006 3,007 3,008 3,009 3,010 3,011 3,012 3,013 3,014 3,015

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: Yes
Bit width: 12 bits
Recamán's sequence: a(1,445) = 3,003
Square (n²): 9,018,009
Cube (n³): 27,081,081,027
Divisor count: 16
σ(n) — sum of divisors: 5,376
φ(n) — Euler's totient: 1,440
Sum of prime factors: 34

Primality

Prime factorization: 3 × 7 × 11 × 13

Nearest primes: 3,001 (−2) · 3,011 (+8)

Divisors & multiples

All divisors (16)

1 · 3 · 7 · 11 · 13 · 21 · 33 · 39 · 77 · 91 · 143 · 231 · 273 · 429 · 1001 · 3003

Aliquot sum (sum of proper divisors): 2,373

Factor pairs (a × b = 3,003)

1 × 3003

3 × 1001

7 × 429

11 × 273

13 × 231

21 × 143

33 × 91

39 × 77

First multiples

3,003 · 6,006 (double) · 9,009 · 12,012 · 15,015 · 18,018 · 21,021 · 24,024 · 27,027 · 30,030

Sums & aliquot sequence

As consecutive integers: 1,501 + 1,502 1,000 + 1,001 + 1,002 498 + 499 + 500 + 501 + 502 + 503 426 + 427 + … + 432

Aliquot sequence: 3,003 → 2,373 → 1,275 → 957 → 483 → 285 → 195 → 141 → 51 → 21 → 11 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,003 = [54; (1, 3, 1, 108)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: three thousand three
Ordinal: 3003rd
Roman numeral: MMMIII
Binary: 101110111011
Octal: 5673
Hexadecimal: 0xBBB
Base64: C7s=
One's complement: 62,532 (16-bit)
Scientific notation: 3.003 × 10³
As a duration: 3,003 s = 50 minutes, 3 seconds

In other bases

ternary (3) 11010020

quaternary (4) 232323

quinary (5) 44003

senary (6) 21523

septenary (7) 11520

nonary (9) 4106

undecimal (11) 2290

duodecimal (12) 18a3

tridecimal (13) 14a0

tetradecimal (14) 1147

pentadecimal (15) d53

Palindromic in base 16

As an angle

3,003° = 8 × 360° + 123°

123° ≈ 2.147 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓏺𓏺𓏺
Greek (Milesian): ͵γγʹ
Mayan (base 20): 𝋧·𝋪·𝋣
Chinese: 三千零三
Chinese (financial): 參仟零參

In other modern scripts

Eastern Arabic ٣٠٠٣ Devanagari ३००३ Bengali ৩০০৩ Tamil ௩௦௦௩ Thai ๓๐๐๓ Tibetan ༣༠༠༣ Khmer ៣០០៣ Lao ໓໐໐໓ Burmese ၃၀၀၃

Digit at this position in famous constants

π — Pi (π): Digit 3,003 = 6
e — Euler's number (e): Digit 3,003 = 3
φ — Golden ratio (φ): Digit 3,003 = 7
√2 — Pythagoras's (√2): Digit 3,003 = 3
ln 2 — Natural log of 2: Digit 3,003 = 5
γ — Euler-Mascheroni (γ): Digit 3,003 = 2

Also seen as

Hex color

#000BBB

RGB(0, 11, 187)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.187.

Address: 0.0.11.187
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.187

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

Musical pitch

Heard as a frequency, 3,003 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +25¢)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -37¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +26¢)

Position in π

The digit sequence 3003 first appears in π at position 1,358 of the decimal expansion (the 1,358ordinal-suffix:th 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.

Look up 3003 on Pi Search ↗