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20,004

20,004 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 Evil Number Harshad / Niven Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
15 bits
Reversed
40,002
Square (n²)
400,160,016
Cube (n³)
8,004,800,960,064
Divisor count
12
σ(n) — sum of divisors
46,704
φ(n) — Euler's totient
6,664
Sum of prime factors
1,674

Primality

Prime factorization: 2 2 × 3 × 1667

Nearest primes: 19,997 (−7) · 20,011 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 1667 · 3334 · 5001 · 6668 · 10002 (half) · 20004
Aliquot sum (sum of proper divisors): 26,700
Factor pairs (a × b = 20,004)
1 × 20004
2 × 10002
3 × 6668
4 × 5001
6 × 3334
12 × 1667
First multiples
20,004 · 40,008 (double) · 60,012 · 80,016 · 100,020 · 120,024 · 140,028 · 160,032 · 180,036 · 200,040

Sums & aliquot sequence

As consecutive integers: 6,667 + 6,668 + 6,669 2,497 + 2,498 + … + 2,504 822 + 823 + … + 845
Aliquot sequence: 20,004 26,700 51,420 92,724 123,660 262,740 503,340 906,180 1,863,804 2,485,100 2,907,784 3,105,656 2,775,544 2,428,616 2,418,424 2,132,696 1,866,124 — unresolved within range

Representations

In words
twenty thousand four
Ordinal
20004th
Binary
100111000100100
Octal
47044
Hexadecimal
0x4E24
Base64
TiQ=
One's complement
45,531 (16-bit)
In other bases
ternary (3) 1000102220
quaternary (4) 10320210
quinary (5) 1120004
senary (6) 232340
septenary (7) 112215
nonary (9) 30386
undecimal (11) 14036
duodecimal (12) b6b0
tridecimal (13) 914a
tetradecimal (14) 740c
pentadecimal (15) 5dd9

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κδʹ
Mayan (base 20)
𝋢·𝋪·𝋠·𝋤
Chinese
二萬零四
Chinese (financial)
貳萬零肆
In other modern scripts
Eastern Arabic ٢٠٠٠٤ Devanagari २०००४ Bengali ২০০০৪ Tamil ௨௦௦௦௪ Thai ๒๐๐๐๔ Tibetan ༢༠༠༠༤ Khmer ២០០០៤ Lao ໒໐໐໐໔ Burmese ၂၀၀၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 20,004 = 3
e — Euler's number (e)
Digit 20,004 = 4
φ — Golden ratio (φ)
Digit 20,004 = 9
√2 — Pythagoras's (√2)
Digit 20,004 = 4
ln 2 — Natural log of 2
Digit 20,004 = 1
γ — Euler-Mascheroni (γ)
Digit 20,004 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20004, here are decompositions:

  • 7 + 19997 = 20004
  • 11 + 19993 = 20004
  • 13 + 19991 = 20004
  • 31 + 19973 = 20004
  • 41 + 19963 = 20004
  • 43 + 19961 = 20004
  • 67 + 19937 = 20004
  • 113 + 19891 = 20004

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4E24
U+4E24
Other letter (Lo)

UTF-8 encoding: E4 B8 A4 (3 bytes).

Hex color
#004E24
RGB(0, 78, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.78.36.

Address
0.0.78.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.78.36

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

Position in π

The digit sequence 20004 first appears in π at position 72,449 of the decimal expansion (the 72,449ordinal-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.