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108,084

108,084 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.).
Abundant Number Evil Number Recamán's Sequence Self Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
480,801
Recamán's sequence
a(251,264) = 108,084
Square (n²)
11,682,151,056
Cube (n³)
1,262,653,614,736,704
Divisor count
12
σ(n) — sum of divisors
252,224
φ(n) — Euler's totient
36,024
Sum of prime factors
9,014

Primality

Prime factorization: 2 2 × 3 × 9007

Nearest primes: 108,079 (−5) · 108,089 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 9007 · 18014 · 27021 · 36028 · 54042 (half) · 108084
Aliquot sum (sum of proper divisors): 144,140
Factor pairs (a × b = 108,084)
1 × 108084
2 × 54042
3 × 36028
4 × 27021
6 × 18014
12 × 9007
First multiples
108,084 · 216,168 (double) · 324,252 · 432,336 · 540,420 · 648,504 · 756,588 · 864,672 · 972,756 · 1,080,840

Sums & aliquot sequence

As consecutive integers: 36,027 + 36,028 + 36,029 13,507 + 13,508 + … + 13,514 4,492 + 4,493 + … + 4,515
Aliquot sequence: 108,084 144,140 158,596 128,124 195,836 150,076 128,132 99,004 77,900 104,380 128,468 96,358 48,182 24,094 17,234 12,334 8,834 — unresolved within range

Representations

In words
one hundred eight thousand eighty-four
Ordinal
108084th
Binary
11010011000110100
Octal
323064
Hexadecimal
0x1A634
Base64
AaY0
One's complement
4,294,859,211 (32-bit)
In other bases
ternary (3) 12111021010
quaternary (4) 122120310
quinary (5) 11424314
senary (6) 2152220
septenary (7) 630054
nonary (9) 174233
undecimal (11) 74229
duodecimal (12) 52670
tridecimal (13) 3a272
tetradecimal (14) 2b564
pentadecimal (15) 22059

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρηπδʹ
Mayan (base 20)
𝋭·𝋪·𝋤·𝋤
Chinese
一十萬八千零八十四
Chinese (financial)
壹拾萬捌仟零捌拾肆
In other modern scripts
Eastern Arabic ١٠٨٠٨٤ Devanagari १०८०८४ Bengali ১০৮০৮৪ Tamil ௧௦௮௦௮௪ Thai ๑๐๘๐๘๔ Tibetan ༡༠༨༠༨༤ Khmer ១០៨០៨៤ Lao ໑໐໘໐໘໔ Burmese ၁၀၈၀၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108084, here are decompositions:

  • 5 + 108079 = 108084
  • 23 + 108061 = 108084
  • 43 + 108041 = 108084
  • 47 + 108037 = 108084
  • 61 + 108023 = 108084
  • 71 + 108013 = 108084
  • 73 + 108011 = 108084
  • 103 + 107981 = 108084

Showing the first eight; more decompositions exist.

Hex color
#01A634
RGB(1, 166, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.166.52.

Address
0.1.166.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.166.52

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 108,084 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 108084 first appears in π at position 942,120 of the decimal expansion (the 942,120ordinal-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.