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10,004

10,004 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.).
Arithmetic Number Deficient Number Evil Number Recamán's Sequence Self Number

Properties

Parity
Even
Digit count
5
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
40,001
Recamán's sequence
a(4,807) = 10,004
Square (n²)
100,080,016
Cube (n³)
1,001,200,480,064
Divisor count
12
σ(n) — sum of divisors
18,228
φ(n) — Euler's totient
4,800
Sum of prime factors
106

Primality

Prime factorization: 2 2 × 41 × 61

Nearest primes: 9,973 (−31) · 10,007 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 41 · 61 · 82 · 122 · 164 · 244 · 2501 · 5002 (half) · 10004
Aliquot sum (sum of proper divisors): 8,224
Factor pairs (a × b = 10,004)
1 × 10004
2 × 5002
4 × 2501
41 × 244
61 × 164
82 × 122
First multiples
10,004 · 20,008 (double) · 30,012 · 40,016 · 50,020 · 60,024 · 70,028 · 80,032 · 90,036 · 100,040

Sums & aliquot sequence

As a sum of two squares: 2² + 100² = 20² + 98²
As consecutive integers: 1,247 + 1,248 + … + 1,254 224 + 225 + … + 264 134 + 135 + … + 194
Aliquot sequence: 10,004 8,224 8,030 7,954 4,394 2,746 1,376 1,396 1,054 674 340 416 466 236 184 176 196 — unresolved within range

Representations

In words
ten thousand four
Ordinal
10004th
Binary
10011100010100
Octal
23424
Hexadecimal
0x2714
Base64
JxQ=
One's complement
55,531 (16-bit)
In other bases
ternary (3) 111201112
quaternary (4) 2130110
quinary (5) 310004
senary (6) 114152
septenary (7) 41111
nonary (9) 14645
undecimal (11) 7575
duodecimal (12) 5958
tridecimal (13) 4727
tetradecimal (14) 3908
pentadecimal (15) 2e6e

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιδʹ
Mayan (base 20)
𝋡·𝋥·𝋠·𝋤
Chinese
一萬零四
Chinese (financial)
壹萬零肆
In other modern scripts
Eastern Arabic ١٠٠٠٤ Devanagari १०००४ Bengali ১০০০৪ Tamil ௧௦௦௦௪ Thai ๑๐๐๐๔ Tibetan ༡༠༠༠༤ Khmer ១០០០៤ Lao ໑໐໐໐໔ Burmese ၁၀၀၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 10,004 = 6
e — Euler's number (e)
Digit 10,004 = 7
φ — Golden ratio (φ)
Digit 10,004 = 4
√2 — Pythagoras's (√2)
Digit 10,004 = 0
ln 2 — Natural log of 2
Digit 10,004 = 4
γ — Euler-Mascheroni (γ)
Digit 10,004 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10004, here are decompositions:

  • 31 + 9973 = 10004
  • 37 + 9967 = 10004
  • 73 + 9931 = 10004
  • 97 + 9907 = 10004
  • 103 + 9901 = 10004
  • 193 + 9811 = 10004
  • 223 + 9781 = 10004
  • 271 + 9733 = 10004

Showing the first eight; more decompositions exist.

Unicode codepoint
Heavy Check Mark
U+2714
Other symbol (So)

UTF-8 encoding: E2 9C 94 (3 bytes).

Hex color
#002714
RGB(0, 39, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.20.

Address
0.0.39.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.20

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

Position in π

The digit sequence 10004 first appears in π at position 132,643 of the decimal expansion (the 132,643ordinal-suffix:rd 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.