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6,006

6,006 is a composite number, even.

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.).
Abundant Number Arithmetic Number Flippable Gapful Number Odious Number Palindrome Practical Number Pronic / Oblong Recamán's Sequence Semiperfect Number Squarefree

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
0
Digital root
3
Palindrome
Yes
Bit width
13 bits
Flips to (rotate 180°)
9,009
Recamán's sequence
a(12,751) = 6,006
Square (n²)
36,072,036
Cube (n³)
216,648,648,216
Divisor count
32
σ(n) — sum of divisors
16,128
φ(n) — Euler's totient
1,440
Sum of prime factors
36

Primality

Prime factorization: 2 × 3 × 7 × 11 × 13

Nearest primes: 5,987 (−19) · 6,007 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 7 · 11 · 13 · 14 · 21 · 22 · 26 · 33 · 39 · 42 · 66 · 77 · 78 · 91 · 143 · 154 · 182 · 231 · 273 · 286 · 429 · 462 · 546 · 858 · 1001 · 2002 · 3003 (half) · 6006
Aliquot sum (sum of proper divisors): 10,122
Factor pairs (a × b = 6,006)
1 × 6006
2 × 3003
3 × 2002
6 × 1001
7 × 858
11 × 546
13 × 462
14 × 429
21 × 286
22 × 273
26 × 231
33 × 182
39 × 154
42 × 143
66 × 91
77 × 78
First multiples
6,006 · 12,012 (double) · 18,018 · 24,024 · 30,030 · 36,036 · 42,042 · 48,048 · 54,054 · 60,060

Sums & aliquot sequence

As consecutive integers: 2,001 + 2,002 + 2,003 1,500 + 1,501 + 1,502 + 1,503 855 + 856 + … + 861 541 + 542 + … + 551
Aliquot sequence: 6,006 10,122 13,110 21,450 41,046 41,058 47,940 97,212 129,644 97,240 174,920 218,740 240,656 269,914 156,326 78,166 65,474 — unresolved within range

Representations

In words
six thousand six
Ordinal
6006th
Binary
1011101110110
Octal
13566
Hexadecimal
0x1776
Base64
F3Y=
One's complement
59,529 (16-bit)
In other bases
ternary (3) 22020110
quaternary (4) 1131312
quinary (5) 143011
senary (6) 43450
septenary (7) 23340
nonary (9) 8213
undecimal (11) 4570
duodecimal (12) 3586
tridecimal (13) 2970
tetradecimal (14) 2290
pentadecimal (15) 1ba6

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϛϛʹ
Mayan (base 20)
𝋯·𝋠·𝋦
Chinese
六千零六
Chinese (financial)
陸仟零陸
In other modern scripts
Eastern Arabic ٦٠٠٦ Devanagari ६००६ Bengali ৬০০৬ Tamil ௬௦௦௬ Thai ๖๐๐๖ Tibetan ༦༠༠༦ Khmer ៦០០៦ Lao ໖໐໐໖ Burmese ၆၀၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 6,006 = 6
e — Euler's number (e)
Digit 6,006 = 7
φ — Golden ratio (φ)
Digit 6,006 = 9
√2 — Pythagoras's (√2)
Digit 6,006 = 5
ln 2 — Natural log of 2
Digit 6,006 = 8
γ — Euler-Mascheroni (γ)
Digit 6,006 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6006, here are decompositions:

  • 19 + 5987 = 6006
  • 53 + 5953 = 6006
  • 67 + 5939 = 6006
  • 79 + 5927 = 6006
  • 83 + 5923 = 6006
  • 103 + 5903 = 6006
  • 109 + 5897 = 6006
  • 127 + 5879 = 6006

Showing the first eight; more decompositions exist.

Hex color
#001776
RGB(0, 23, 118)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.118.

Address
0.0.23.118
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.23.118

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

Position in π

The digit sequence 6006 first appears in π at position 8,611 of the decimal expansion (the 8,611ordinal-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.