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10,006

10,006 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 Flippable Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Properties

Parity
Even
Digit count
5
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
60,001
Flips to (rotate 180°)
90,001
Recamán's sequence
a(4,803) = 10,006
Square (n²)
100,120,036
Cube (n³)
1,001,801,080,216
Divisor count
4
σ(n) — sum of divisors
15,012
φ(n) — Euler's totient
5,002
Sum of prime factors
5,005

Primality

Prime factorization: 2 × 5003

Nearest primes: 9,973 (−33) · 10,007 (+1)

Divisors & multiples

All divisors (4)
1 · 2 · 5003 (half) · 10006
Aliquot sum (sum of proper divisors): 5,006
Factor pairs (a × b = 10,006)
1 × 10006
2 × 5003
First multiples
10,006 · 20,012 (double) · 30,018 · 40,024 · 50,030 · 60,036 · 70,042 · 80,048 · 90,054 · 100,060

Sums & aliquot sequence

As consecutive integers: 2,500 + 2,501 + 2,502 + 2,503
Aliquot sequence: 10,006 5,006 2,506 1,814 910 1,106 814 554 280 440 640 890 730 602 454 230 202 — unresolved within range

Representations

In words
ten thousand six
Ordinal
10006th
Binary
10011100010110
Octal
23426
Hexadecimal
0x2716
Base64
JxY=
One's complement
55,529 (16-bit)
In other bases
ternary (3) 111201121
quaternary (4) 2130112
quinary (5) 310011
senary (6) 114154
septenary (7) 41113
nonary (9) 14647
undecimal (11) 7577
duodecimal (12) 595a
tridecimal (13) 4729
tetradecimal (14) 390a
pentadecimal (15) 2e71

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιϛʹ
Mayan (base 20)
𝋡·𝋥·𝋠·𝋦
Chinese
一萬零六
Chinese (financial)
壹萬零陸
In other modern scripts
Eastern Arabic ١٠٠٠٦ Devanagari १०००६ Bengali ১০০০৬ Tamil ௧௦௦௦௬ Thai ๑๐๐๐๖ Tibetan ༡༠༠༠༦ Khmer ១០០០៦ Lao ໑໐໐໐໖ Burmese ၁၀၀၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 10,006 = 2
e — Euler's number (e)
Digit 10,006 = 3
φ — Golden ratio (φ)
Digit 10,006 = 7
√2 — Pythagoras's (√2)
Digit 10,006 = 5
ln 2 — Natural log of 2
Digit 10,006 = 2
γ — Euler-Mascheroni (γ)
Digit 10,006 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10006, here are decompositions:

  • 83 + 9923 = 10006
  • 149 + 9857 = 10006
  • 167 + 9839 = 10006
  • 173 + 9833 = 10006
  • 239 + 9767 = 10006
  • 257 + 9749 = 10006
  • 263 + 9743 = 10006
  • 317 + 9689 = 10006

Showing the first eight; more decompositions exist.

Unicode codepoint
Heavy Multiplication X
U+2716
Other symbol (So)

UTF-8 encoding: E2 9C 96 (3 bytes).

Hex color
#002716
RGB(0, 39, 22)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.22.

Address
0.0.39.22
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.22

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

Position in π

The digit sequence 10006 first appears in π at position 76,536 of the decimal expansion (the 76,536ordinal-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.