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20,008

20,008 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.).
Deficient Number Evil Number Happy Number Octagonal

Properties

Parity
Even
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
15 bits
Reversed
80,002
Square (n²)
400,320,064
Cube (n³)
8,009,603,840,512
Divisor count
16
σ(n) — sum of divisors
39,060
φ(n) — Euler's totient
9,600
Sum of prime factors
108

Primality

Prime factorization: 2 3 × 41 × 61

Nearest primes: 19,997 (−11) · 20,011 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 41 · 61 · 82 · 122 · 164 · 244 · 328 · 488 · 2501 · 5002 · 10004 (half) · 20008
Aliquot sum (sum of proper divisors): 19,052
Factor pairs (a × b = 20,008)
1 × 20008
2 × 10004
4 × 5002
8 × 2501
41 × 488
61 × 328
82 × 244
122 × 164
First multiples
20,008 · 40,016 (double) · 60,024 · 80,032 · 100,040 · 120,048 · 140,056 · 160,064 · 180,072 · 200,080

Sums & aliquot sequence

As a sum of two squares: 78² + 118² = 98² + 102²
As consecutive integers: 1,243 + 1,244 + … + 1,258 468 + 469 + … + 508 298 + 299 + … + 358
Aliquot sequence: 20,008 19,052 17,404 14,796 23,844 31,820 38,404 28,810 25,046 17,914 11,732 11,788 11,844 23,100 60,228 114,492 208,068 — unresolved within range

Representations

In words
twenty thousand eight
Ordinal
20008th
Binary
100111000101000
Octal
47050
Hexadecimal
0x4E28
Base64
Tig=
One's complement
45,527 (16-bit)
In other bases
ternary (3) 1000110001
quaternary (4) 10320220
quinary (5) 1120013
senary (6) 232344
septenary (7) 112222
nonary (9) 30401
undecimal (11) 1403a
duodecimal (12) b6b4
tridecimal (13) 9151
tetradecimal (14) 7412
pentadecimal (15) 5ddd

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κηʹ
Mayan (base 20)
𝋢·𝋪·𝋠·𝋨
Chinese
二萬零八
Chinese (financial)
貳萬零捌
In other modern scripts
Eastern Arabic ٢٠٠٠٨ Devanagari २०००८ Bengali ২০০০৮ Tamil ௨௦௦௦௮ Thai ๒๐๐๐๘ Tibetan ༢༠༠༠༨ Khmer ២០០០៨ Lao ໒໐໐໐໘ Burmese ၂၀၀၀၈

Digit at this position in famous constants

π — Pi (π)
Digit 20,008 = 5
e — Euler's number (e)
Digit 20,008 = 6
φ — Golden ratio (φ)
Digit 20,008 = 2
√2 — Pythagoras's (√2)
Digit 20,008 = 1
ln 2 — Natural log of 2
Digit 20,008 = 7
γ — Euler-Mascheroni (γ)
Digit 20,008 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20008, here are decompositions:

  • 11 + 19997 = 20008
  • 17 + 19991 = 20008
  • 29 + 19979 = 20008
  • 47 + 19961 = 20008
  • 59 + 19949 = 20008
  • 71 + 19937 = 20008
  • 89 + 19919 = 20008
  • 167 + 19841 = 20008

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4E28
U+4E28
Other letter (Lo)

UTF-8 encoding: E4 B8 A8 (3 bytes).

Hex color
#004E28
RGB(0, 78, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.78.40.

Address
0.0.78.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.78.40

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

Position in π

The digit sequence 20008 first appears in π at position 127,099 of the decimal expansion (the 127,099ordinal-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.