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10,000

10,000 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.).

10,000 (ten thousand) is an even 5-digit number. It is a composite number with 25 divisors, and factors as 2⁴ × 5⁴. Its proper divisors sum to 14,211, more than the number itself, making it an abundant number. It is a perfect square (100²) and a power of ten (10⁴). Written other ways, in hexadecimal, 0x2710.

Abundant Number Flippable Frugal Number Gapful Number Happy Number Harshad / Niven Odious Number Perfect Square Pernicious Number Power of Ten Powerful Number Practical Number Preferred Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
1
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
1
Flips to (rotate 180°)
1
Recamán's sequence
a(7,215) = 10,000
Square (n²)
100,000,000
Cube (n³)
1,000,000,000,000
Square root (√n)
100
Divisor count
25
σ(n) — sum of divisors
24,211
φ(n) — Euler's totient
4,000
Sum of prime factors
28

Primality

Prime factorization: 2 4 × 5 4

Nearest primes: 9,973 (−27) · 10,007 (+7)

Divisors & multiples

All divisors (25)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 125 · 200 · 250 · 400 · 500 · 625 · 1000 · 1250 · 2000 · 2500 · 5000 (half) · 10000
Aliquot sum (sum of proper divisors): 14,211
Factor pairs (a × b = 10,000)
1 × 10000
2 × 5000
4 × 2500
5 × 2000
8 × 1250
10 × 1000
16 × 625
20 × 500
25 × 400
40 × 250
50 × 200
80 × 125
100 × 100
First multiples
10,000 · 20,000 (double) · 30,000 · 40,000 · 50,000 · 60,000 · 70,000 · 80,000 · 90,000 · 100,000

Sums & aliquot sequence

As a sum of two squares: 0² + 100² = 28² + 96² = 60² + 80²
As consecutive integers: 1,998 + 1,999 + 2,000 + 2,001 + 2,002 388 + 389 + … + 412 297 + 298 + … + 328 18 + 19 + … + 142
Aliquot sequence: 10,000 14,211 6,329 1 0 — terminates at zero

Representations

In words
ten thousand
Ordinal
10000th
Binary
10011100010000
Octal
23420
Hexadecimal
0x2710
Base64
JxA=
One's complement
55,535 (16-bit)
Scientific notation
1 × 10⁴
As a duration
10,000 s = 2 hours, 46 minutes, 40 seconds
In other bases
ternary (3) 111201101
quaternary (4) 2130100
quinary (5) 310000
senary (6) 114144
septenary (7) 41104
nonary (9) 14641
undecimal (11) 7571
duodecimal (12) 5954
tridecimal (13) 4723
tetradecimal (14) 3904
pentadecimal (15) 2e6a
Palindromic in base 9

As an angle

10,000° = 27 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍
Greek (Milesian)
͵ι
Mayan (base 20)
𝋡·𝋥·𝋠·𝋠
Chinese
一萬
Chinese (financial)
壹萬
In other modern scripts
Eastern Arabic ١٠٠٠٠ Devanagari १०००० Bengali ১০০০০ Tamil ௧௦௦௦௦ Thai ๑๐๐๐๐ Tibetan ༡༠༠༠༠ Khmer ១០០០០ Lao ໑໐໐໐໐ Burmese ၁၀၀၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 10,000 = 7
e — Euler's number (e)
Digit 10,000 = 8
φ — Golden ratio (φ)
Digit 10,000 = 0
√2 — Pythagoras's (√2)
Digit 10,000 = 5
ln 2 — Natural log of 2
Digit 10,000 = 6
γ — Euler-Mascheroni (γ)
Digit 10,000 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10000, here are decompositions:

  • 59 + 9941 = 10000
  • 71 + 9929 = 10000
  • 113 + 9887 = 10000
  • 149 + 9851 = 10000
  • 167 + 9833 = 10000
  • 197 + 9803 = 10000
  • 233 + 9767 = 10000
  • 251 + 9749 = 10000

Showing the first eight; more decompositions exist.

Unicode codepoint
Upper Right Pencil
U+2710
Other symbol (So)

UTF-8 encoding: E2 9C 90 (3 bytes).

Code page identifier

Code page 10000 is Mac OS Roman — Western European on classic Mac OS.

Code pages are integer identifiers used by Windows and other systems to refer to specific character encodings.

Hex color
#002710
RGB(0, 39, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.16.

Address
0.0.39.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.16

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

Musical pitch

Heard as a frequency, 10,000 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +8¢)
  • Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +45¢ — about midway to E9)
  • Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +9¢)
Position in π

The digit sequence 10000 first appears in π at position 387,791 of the decimal expansion (the 387,791ordinal-suffix:st 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.

Related reading