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6,003

6,003 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.).

6,003 (six thousand three) is an odd 4-digit number. It is a composite number with 12 divisors, and factors as 3² × 23 × 29. Written other ways, in hexadecimal, 0x1773.

Arithmetic Number Cube-Free Deficient Number Harshad / Niven Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
13 bits
Reversed
3,006
Recamán's sequence
a(12,757) = 6,003
Square (n²)
36,036,009
Cube (n³)
216,324,162,027
Divisor count
12
σ(n) — sum of divisors
9,360
φ(n) — Euler's totient
3,696
Sum of prime factors
58

Primality

Prime factorization: 3 2 × 23 × 29

Nearest primes: 5,987 (−16) · 6,007 (+4)

Divisors & multiples

All divisors (12)
1 · 3 · 9 · 23 · 29 · 69 · 87 · 207 · 261 · 667 · 2001 · 6003
Aliquot sum (sum of proper divisors): 3,357
Factor pairs (a × b = 6,003)
1 × 6003
3 × 2001
9 × 667
23 × 261
29 × 207
69 × 87
First multiples
6,003 · 12,006 (double) · 18,009 · 24,012 · 30,015 · 36,018 · 42,021 · 48,024 · 54,027 · 60,030

Sums & aliquot sequence

As consecutive integers: 3,001 + 3,002 2,000 + 2,001 + 2,002 998 + 999 + 1,000 + 1,001 + 1,002 + 1,003 663 + 664 + … + 671
Aliquot sequence: 6,003 3,357 1,505 607 1 0 — terminates at zero

Continued fraction of √n

√6,003 = [77; (2, 11, 2, 2, 1, 2, 6, 2, 1, 2, 2, 11, 2, 154)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
six thousand three
Ordinal
6003rd
Binary
1011101110011
Octal
13563
Hexadecimal
0x1773
Base64
F3M=
One's complement
59,532 (16-bit)
Scientific notation
6.003 × 10³
As a duration
6,003 s = 1 hour, 40 minutes, 3 seconds
In other bases
ternary (3) 22020100
quaternary (4) 1131303
quinary (5) 143003
senary (6) 43443
septenary (7) 23334
nonary (9) 8210
undecimal (11) 4568
duodecimal (12) 3583
tridecimal (13) 296a
tetradecimal (14) 228b
pentadecimal (15) 1ba3

As an angle

6,003° = 16 × 360° + 243°
243° ≈ 4.241 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺
Greek (Milesian)
͵ϛγʹ
Mayan (base 20)
𝋯·𝋠·𝋣
Chinese
六千零三
Chinese (financial)
陸仟零參
In other modern scripts
Eastern Arabic ٦٠٠٣ Devanagari ६००३ Bengali ৬০০৩ Tamil ௬௦௦௩ Thai ๖๐๐๓ Tibetan ༦༠༠༣ Khmer ៦០០៣ Lao ໖໐໐໓ Burmese ၆၀၀၃

Digit at this position in famous constants

π — Pi (π)
Digit 6,003 = 9
e — Euler's number (e)
Digit 6,003 = 3
φ — Golden ratio (φ)
Digit 6,003 = 4
√2 — Pythagoras's (√2)
Digit 6,003 = 0
ln 2 — Natural log of 2
Digit 6,003 = 3
γ — Euler-Mascheroni (γ)
Digit 6,003 = 3

Also seen as

Unicode codepoint
Tagbanwa Vowel Sign U
U+1773
Non-spacing mark (Mn)

UTF-8 encoding: E1 9D B3 (3 bytes).

Hex color
#001773
RGB(0, 23, 115)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.115.

Address
0.0.23.115
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.23.115

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

Musical pitch

Heard as a frequency, 6,003 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, +24¢)
  • Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, -38¢)
  • Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, +25¢)
Position in π

The digit sequence 6003 first appears in π at position 7,920 of the decimal expansion (the 7,920ordinal-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.

Related reading

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