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6,004

6,004 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.).
Deficient Number Evil Number Recamán's Sequence

Properties

Parity
Even
Digit count
4
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
13 bits
Reversed
4,006
Recamán's sequence
a(12,755) = 6,004
Square (n²)
36,048,016
Cube (n³)
216,432,288,064
Divisor count
12
σ(n) — sum of divisors
11,200
φ(n) — Euler's totient
2,808
Sum of prime factors
102

Primality

Prime factorization: 2 2 × 19 × 79

Nearest primes: 5,987 (−17) · 6,007 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 19 · 38 · 76 · 79 · 158 · 316 · 1501 · 3002 (half) · 6004
Aliquot sum (sum of proper divisors): 5,196
Factor pairs (a × b = 6,004)
1 × 6004
2 × 3002
4 × 1501
19 × 316
38 × 158
76 × 79
First multiples
6,004 · 12,008 (double) · 18,012 · 24,016 · 30,020 · 36,024 · 42,028 · 48,032 · 54,036 · 60,040

Sums & aliquot sequence

As consecutive integers: 747 + 748 + … + 754 307 + 308 + … + 325 37 + 38 + … + 115
Aliquot sequence: 6,004 5,196 6,956 5,812 4,366 2,474 1,240 1,640 2,140 2,396 1,804 1,724 1,300 1,738 1,142 574 434 — unresolved within range

Representations

In words
six thousand four
Ordinal
6004th
Binary
1011101110100
Octal
13564
Hexadecimal
0x1774
Base64
F3Q=
One's complement
59,531 (16-bit)
In other bases
ternary (3) 22020101
quaternary (4) 1131310
quinary (5) 143004
senary (6) 43444
septenary (7) 23335
nonary (9) 8211
undecimal (11) 4569
duodecimal (12) 3584
tridecimal (13) 296b
tetradecimal (14) 228c
pentadecimal (15) 1ba4

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϛδʹ
Mayan (base 20)
𝋯·𝋠·𝋤
Chinese
六千零四
Chinese (financial)
陸仟零肆
In other modern scripts
Eastern Arabic ٦٠٠٤ Devanagari ६००४ Bengali ৬০০৪ Tamil ௬௦௦௪ Thai ๖๐๐๔ Tibetan ༦༠༠༤ Khmer ៦០០៤ Lao ໖໐໐໔ Burmese ၆၀၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 6,004 = 0
e — Euler's number (e)
Digit 6,004 = 9
φ — Golden ratio (φ)
Digit 6,004 = 2
√2 — Pythagoras's (√2)
Digit 6,004 = 3
ln 2 — Natural log of 2
Digit 6,004 = 9
γ — Euler-Mascheroni (γ)
Digit 6,004 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6004, here are decompositions:

  • 17 + 5987 = 6004
  • 23 + 5981 = 6004
  • 101 + 5903 = 6004
  • 107 + 5897 = 6004
  • 137 + 5867 = 6004
  • 191 + 5813 = 6004
  • 197 + 5807 = 6004
  • 263 + 5741 = 6004

Showing the first eight; more decompositions exist.

Hex color
#001774
RGB(0, 23, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.116.

Address
0.0.23.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.23.116

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000006004
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 6004 first appears in π at position 21,339 of the decimal expansion (the 21,339ordinal-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.