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12,008

12,008 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.).

12,008 (twelve thousand eight) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 19 × 79. Written other ways, in hexadecimal, 0x2EE8.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Self Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
80,021
Recamán's sequence
a(22,768) = 12,008
Square (n²)
144,192,064
Cube (n³)
1,731,458,304,512
Divisor count
16
σ(n) — sum of divisors
24,000
φ(n) — Euler's totient
5,616
Sum of prime factors
104

Primality

Prime factorization: 2 3 × 19 × 79

Nearest primes: 12,007 (−1) · 12,011 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 19 · 38 · 76 · 79 · 152 · 158 · 316 · 632 · 1501 · 3002 · 6004 (half) · 12008
Aliquot sum (sum of proper divisors): 11,992
Factor pairs (a × b = 12,008)
1 × 12008
2 × 6004
4 × 3002
8 × 1501
19 × 632
38 × 316
76 × 158
79 × 152
First multiples
12,008 · 24,016 (double) · 36,024 · 48,032 · 60,040 · 72,048 · 84,056 · 96,064 · 108,072 · 120,080

Sums & aliquot sequence

As consecutive integers: 743 + 744 + … + 758 623 + 624 + … + 641 113 + 114 + … + 191
Aliquot sequence: 12,008 11,992 10,508 8,644 6,490 6,470 5,194 4,040 5,140 5,696 5,734 3,194 1,600 2,337 1,023 513 287 — unresolved within range

Continued fraction of √n

√12,008 = [109; (1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 218)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
twelve thousand eight
Ordinal
12008th
Binary
10111011101000
Octal
27350
Hexadecimal
0x2EE8
Base64
Lug=
One's complement
53,527 (16-bit)
Scientific notation
1.2008 × 10⁴
As a duration
12,008 s = 3 hours, 20 minutes, 8 seconds
In other bases
ternary (3) 121110202
quaternary (4) 2323220
quinary (5) 341013
senary (6) 131332
septenary (7) 50003
nonary (9) 17422
undecimal (11) 9027
duodecimal (12) 6b48
tridecimal (13) 5609
tetradecimal (14) 453a
pentadecimal (15) 3858

As an angle

12,008° = 33 × 360° + 128°
128° ≈ 2.234 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιβηʹ
Mayan (base 20)
𝋡·𝋪·𝋠·𝋨
Chinese
一萬二千零八
Chinese (financial)
壹萬貳仟零捌
In other modern scripts
Eastern Arabic ١٢٠٠٨ Devanagari १२००८ Bengali ১২০০৮ Tamil ௧௨௦௦௮ Thai ๑๒๐๐๘ Tibetan ༡༢༠༠༨ Khmer ១២០០៨ Lao ໑໒໐໐໘ Burmese ၁၂၀၀၈

Digit at this position in famous constants

π — Pi (π)
Digit 12,008 = 5
e — Euler's number (e)
Digit 12,008 = 0
φ — Golden ratio (φ)
Digit 12,008 = 2
√2 — Pythagoras's (√2)
Digit 12,008 = 4
ln 2 — Natural log of 2
Digit 12,008 = 1
γ — Euler-Mascheroni (γ)
Digit 12,008 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12008, here are decompositions:

  • 37 + 11971 = 12008
  • 67 + 11941 = 12008
  • 181 + 11827 = 12008
  • 229 + 11779 = 12008
  • 277 + 11731 = 12008
  • 307 + 11701 = 12008
  • 331 + 11677 = 12008
  • 421 + 11587 = 12008

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Radical Simplified Wheat
U+2EE8
Other symbol (So)

UTF-8 encoding: E2 BB A8 (3 bytes).

Hex color
#002EE8
RGB(0, 46, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.46.232.

Address
0.0.46.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.46.232

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

Musical pitch

Heard as a frequency, 12,008 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯9 (11839.8 Hz, +24¢)
  • Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, -38¢)
  • Baroque pitch (A4 = 415 Hz): G9 (11831.1 Hz, +26¢)
Position in π

The digit sequence 12008 first appears in π at position 234,074 of the decimal expansion (the 234,074ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.