Live analysis

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.).

10,004 (ten thousand four) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 41 × 61. Written other ways, in hexadecimal, 0x2714.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Self Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

9,992 9,993 9,994 9,995 9,996 9,997 9,998 9,999 10,000 10,001 10,002 10,003 10,004 10,005 10,006 10,007 10,008 10,009 10,010 10,011 10,012 10,013 10,014 10,015 10,016

less more

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

Continued fraction of √n

√10,004 = [100; (50, 200)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: ten thousand four
Ordinal: 10004th
Binary: 10011100010100
Octal: 23424
Hexadecimal: 0x2714
Base64: JxQ=
One's complement: 55,531 (16-bit)
Scientific notation: 1.0004 × 10⁴
As a duration: 10,004 s = 2 hours, 46 minutes, 44 seconds

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

As an angle

10,004° = 27 × 360° + 284°

284° ≈ 4.957 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

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).

Lookup U+2714 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 10,004 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +8¢)
Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +46¢ — about midway to E9)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +10¢)

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.

Look up 10004 on Pi Search ↗