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8,004

8,004 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.).
Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
13 bits
Reversed
4,008
Recamán's sequence
a(25,588) = 8,004
Square (n²)
64,064,016
Cube (n³)
512,768,384,064
Divisor count
24
σ(n) — sum of divisors
20,160
φ(n) — Euler's totient
2,464
Sum of prime factors
59

Primality

Prime factorization: 2 2 × 3 × 23 × 29

Nearest primes: 7,993 (−11) · 8,009 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 23 · 29 · 46 · 58 · 69 · 87 · 92 · 116 · 138 · 174 · 276 · 348 · 667 · 1334 · 2001 · 2668 · 4002 (half) · 8004
Aliquot sum (sum of proper divisors): 12,156
Factor pairs (a × b = 8,004)
1 × 8004
2 × 4002
3 × 2668
4 × 2001
6 × 1334
12 × 667
23 × 348
29 × 276
46 × 174
58 × 138
69 × 116
87 × 92
First multiples
8,004 · 16,008 (double) · 24,012 · 32,016 · 40,020 · 48,024 · 56,028 · 64,032 · 72,036 · 80,040

Sums & aliquot sequence

As consecutive integers: 2,667 + 2,668 + 2,669 997 + 998 + … + 1,004 337 + 338 + … + 359 322 + 323 + … + 345
Aliquot sequence: 8,004 12,156 16,236 29,628 45,356 45,364 41,324 31,000 43,880 54,940 65,012 48,766 26,474 21,142 14,606 7,834 3,920 — unresolved within range

Representations

In words
eight thousand four
Ordinal
8004th
Binary
1111101000100
Octal
17504
Hexadecimal
0x1F44
Base64
H0Q=
One's complement
57,531 (16-bit)
In other bases
ternary (3) 101222110
quaternary (4) 1331010
quinary (5) 224004
senary (6) 101020
septenary (7) 32223
nonary (9) 11873
undecimal (11) 6017
duodecimal (12) 4770
tridecimal (13) 3849
tetradecimal (14) 2cba
pentadecimal (15) 2589

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ηδʹ
Mayan (base 20)
𝋡·𝋠·𝋠·𝋤
Chinese
八千零四
Chinese (financial)
捌仟零肆
In other modern scripts
Eastern Arabic ٨٠٠٤ Devanagari ८००४ Bengali ৮০০৪ Tamil ௮௦௦௪ Thai ๘๐๐๔ Tibetan ༨༠༠༤ Khmer ៨០០៤ Lao ໘໐໐໔ Burmese ၈၀၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 8,004 = 7
e — Euler's number (e)
Digit 8,004 = 8
φ — Golden ratio (φ)
Digit 8,004 = 9
√2 — Pythagoras's (√2)
Digit 8,004 = 1
ln 2 — Natural log of 2
Digit 8,004 = 0
γ — Euler-Mascheroni (γ)
Digit 8,004 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8004, here are decompositions:

  • 11 + 7993 = 8004
  • 41 + 7963 = 8004
  • 53 + 7951 = 8004
  • 67 + 7937 = 8004
  • 71 + 7933 = 8004
  • 97 + 7907 = 8004
  • 103 + 7901 = 8004
  • 127 + 7877 = 8004

Showing the first eight; more decompositions exist.

Unicode codepoint
Greek Small Letter Omicron With Psili And Oxia
U+1F44
Lowercase letter (Ll)

UTF-8 encoding: E1 BD 84 (3 bytes).

Hex color
#001F44
RGB(0, 31, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.68.

Address
0.0.31.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.31.68

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

Position in π

The digit sequence 8004 first appears in π at position 6,635 of the decimal expansion (the 6,635ordinal-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.