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6,000

6,000 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 Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Properties

Parity
Even
Digit count
4
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
13 bits
Reversed
6
Flips to (rotate 180°)
9
Recamán's sequence
a(12,763) = 6,000
Square (n²)
36,000,000
Cube (n³)
216,000,000,000
Divisor count
40
σ(n) — sum of divisors
19,344
φ(n) — Euler's totient
1,600
Sum of prime factors
26

Primality

Prime factorization: 2 4 × 3 × 5 3

Nearest primes: 5,987 (−13) · 6,007 (+7)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 40 · 48 · 50 · 60 · 75 · 80 · 100 · 120 · 125 · 150 · 200 · 240 · 250 · 300 · 375 · 400 · 500 · 600 · 750 · 1000 · 1200 · 1500 · 2000 · 3000 (half) · 6000
Aliquot sum (sum of proper divisors): 13,344
Factor pairs (a × b = 6,000)
1 × 6000
2 × 3000
3 × 2000
4 × 1500
5 × 1200
6 × 1000
8 × 750
10 × 600
12 × 500
15 × 400
16 × 375
20 × 300
24 × 250
25 × 240
30 × 200
40 × 150
48 × 125
50 × 120
60 × 100
75 × 80
First multiples
6,000 · 12,000 (double) · 18,000 · 24,000 · 30,000 · 36,000 · 42,000 · 48,000 · 54,000 · 60,000

Sums & aliquot sequence

As consecutive integers: 1,999 + 2,000 + 2,001 1,198 + 1,199 + 1,200 + 1,201 + 1,202 393 + 394 + … + 407 228 + 229 + … + 252
Aliquot sequence: 6,000 13,344 21,936 34,856 30,514 22,766 11,386 5,696 5,734 3,194 1,600 2,337 1,023 513 287 49 8 — unresolved within range

Representations

In words
six thousand
Ordinal
6000th
Binary
1011101110000
Octal
13560
Hexadecimal
0x1770
Base64
F3A=
One's complement
59,535 (16-bit)
In other bases
ternary (3) 22020020
quaternary (4) 1131300
quinary (5) 143000
senary (6) 43440
septenary (7) 23331
nonary (9) 8206
undecimal (11) 4565
duodecimal (12) 3580
tridecimal (13) 2967
tetradecimal (14) 2288
pentadecimal (15) 1ba0

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian)
͵ϛ
Mayan (base 20)
𝋯·𝋠·𝋠
Chinese
六千
Chinese (financial)
陸仟
In other modern scripts
Eastern Arabic ٦٠٠٠ Devanagari ६००० Bengali ৬০০০ Tamil ௬௦௦௦ Thai ๖๐๐๐ Tibetan ༦༠༠༠ Khmer ៦០០០ Lao ໖໐໐໐ Burmese ၆၀၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 6,000 = 6
e — Euler's number (e)
Digit 6,000 = 0
φ — Golden ratio (φ)
Digit 6,000 = 0
√2 — Pythagoras's (√2)
Digit 6,000 = 0
ln 2 — Natural log of 2
Digit 6,000 = 7
γ — Euler-Mascheroni (γ)
Digit 6,000 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6000, here are decompositions:

  • 13 + 5987 = 6000
  • 19 + 5981 = 6000
  • 47 + 5953 = 6000
  • 61 + 5939 = 6000
  • 73 + 5927 = 6000
  • 97 + 5903 = 6000
  • 103 + 5897 = 6000
  • 131 + 5869 = 6000

Showing the first eight; more decompositions exist.

Unicode codepoint
Tagbanwa Letter Sa
U+1770
Other letter (Lo)

UTF-8 encoding: E1 9D B0 (3 bytes).

Hex color
#001770
RGB(0, 23, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.112.

Address
0.0.23.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.23.112

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

Position in π

The digit sequence 6000 first appears in π at position 23,146 of the decimal expansion (the 23,146ordinal-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.