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108,004

108,004 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.).
Deficient Number Harshad / Niven Odious Number Recamán's Sequence

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
400,801
Recamán's sequence
a(46,947) = 108,004
Square (n²)
11,664,864,016
Cube (n³)
1,259,851,973,184,064
Divisor count
24
σ(n) — sum of divisors
213,248
φ(n) — Euler's totient
47,520
Sum of prime factors
115

Primality

Prime factorization: 2 2 × 13 × 31 × 67

Nearest primes: 107,999 (−5) · 108,007 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 13 · 26 · 31 · 52 · 62 · 67 · 124 · 134 · 268 · 403 · 806 · 871 · 1612 · 1742 · 2077 · 3484 · 4154 · 8308 · 27001 · 54002 (half) · 108004
Aliquot sum (sum of proper divisors): 105,244
Factor pairs (a × b = 108,004)
1 × 108004
2 × 54002
4 × 27001
13 × 8308
26 × 4154
31 × 3484
52 × 2077
62 × 1742
67 × 1612
124 × 871
134 × 806
268 × 403
First multiples
108,004 · 216,008 (double) · 324,012 · 432,016 · 540,020 · 648,024 · 756,028 · 864,032 · 972,036 · 1,080,040

Sums & aliquot sequence

As consecutive integers: 13,497 + 13,498 + … + 13,504 8,302 + 8,303 + … + 8,314 3,469 + 3,470 + … + 3,499 1,579 + 1,580 + … + 1,645
Aliquot sequence: 108,004 105,244 81,740 95,332 71,506 35,756 35,812 35,868 63,084 105,364 112,364 112,420 185,948 200,452 200,508 412,356 687,484 — unresolved within range

Representations

In words
one hundred eight thousand four
Ordinal
108004th
Binary
11010010111100100
Octal
322744
Hexadecimal
0x1A5E4
Base64
AaXk
One's complement
4,294,859,291 (32-bit)
In other bases
ternary (3) 12111011011
quaternary (4) 122113210
quinary (5) 11424004
senary (6) 2152004
septenary (7) 626611
nonary (9) 174134
undecimal (11) 74166
duodecimal (12) 52604
tridecimal (13) 3a210
tetradecimal (14) 2b508
pentadecimal (15) 22004

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 · 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρηδʹ
Mayan (base 20)
𝋭·𝋪·𝋠·𝋤
Chinese
一十萬八千零四
Chinese (financial)
壹拾萬捌仟零肆
In other modern scripts
Eastern Arabic ١٠٨٠٠٤ Devanagari १०८००४ Bengali ১০৮০০৪ Tamil ௧௦௮௦௦௪ Thai ๑๐๘๐๐๔ Tibetan ༡༠༨༠༠༤ Khmer ១០៨០០៤ Lao ໑໐໘໐໐໔ Burmese ၁၀၈၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108004, here are decompositions:

  • 5 + 107999 = 108004
  • 23 + 107981 = 108004
  • 53 + 107951 = 108004
  • 101 + 107903 = 108004
  • 107 + 107897 = 108004
  • 131 + 107873 = 108004
  • 137 + 107867 = 108004
  • 167 + 107837 = 108004

Showing the first eight; more decompositions exist.

Hex color
#01A5E4
RGB(1, 165, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.228.

Address
0.1.165.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.165.228

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 108,004 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 108004 first appears in π at position 338,542 of the decimal expansion (the 338,542ordinal-suffix:nd 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.