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107,084

107,084 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.).

107,084 (one hundred seven thousand eighty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 19 × 1,409. Written other ways, in hexadecimal, 0x1A24C.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
480,701
Recamán's sequence
a(82,223) = 107,084
Square (n²)
11,466,983,056
Cube (n³)
1,227,930,413,568,704
Divisor count
12
σ(n) — sum of divisors
197,400
φ(n) — Euler's totient
50,688
Sum of prime factors
1,432

Primality

Prime factorization: 2 2 × 19 × 1409

Nearest primes: 107,077 (−7) · 107,089 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 19 · 38 · 76 · 1409 · 2818 · 5636 · 26771 · 53542 (half) · 107084
Aliquot sum (sum of proper divisors): 90,316
Factor pairs (a × b = 107,084)
1 × 107084
2 × 53542
4 × 26771
19 × 5636
38 × 2818
76 × 1409
First multiples
107,084 · 214,168 (double) · 321,252 · 428,336 · 535,420 · 642,504 · 749,588 · 856,672 · 963,756 · 1,070,840

Sums & aliquot sequence

As consecutive integers: 13,382 + 13,383 + … + 13,389 5,627 + 5,628 + … + 5,645 629 + 630 + … + 780
Aliquot sequence: 107,084 → 90,316 → 70,572 → 94,124 → 70,600 → 94,010 → 113,350 → 97,574 → 48,790 → 60,074 → 44,920 → 56,240 → 85,120 → 159,680 → 221,320 → 323,000 → 519,400 — unresolved within range

Continued fraction of √n

√107,084 = [327; (4, 4, 1, 1, 8, 1, 1, 1, 81, 6, 2, 7, 4, 4, 1, 162, 1, 4, 4, 7, 2, 6, 81, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand eighty-four
Ordinal
107084th
Binary
11010001001001100
Octal
321114
Hexadecimal
0x1A24C
Base64
AaJM
One's complement
4,294,860,211 (32-bit)
Scientific notation
1.07084 × 10⁵
As a duration
107,084 s = 1 day, 5 hours, 44 minutes, 44 seconds
In other bases
ternary (3) 12102220002
quaternary (4) 122021030
quinary (5) 11411314
senary (6) 2143432
septenary (7) 624125
nonary (9) 172802
undecimal (11) 734aa
duodecimal (12) 51b78
tridecimal (13) 39983
tetradecimal (14) 2b04c
pentadecimal (15) 21ade

As an angle

107,084° = 297 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζπδʹ
Mayan (base 20)
𝋭·𝋧·𝋮·𝋤
Chinese
十萬七千零八十四
Chinese (financial)
壹拾萬柒仟零捌拾肆
In other modern scripts
Eastern Arabic ١٠٧٠٨٤ Devanagari १०७०८४ Bengali ১০৭০৮৪ Tamil ௧௦௭௦௮௪ Thai ๑๐๗๐๘๔ Tibetan ༡༠༧༠༨༤ Khmer ១០៧០៨៤ Lao ໑໐໗໐໘໔ Burmese ၁၀၇၀၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107084, here are decompositions:

  • 7 + 107077 = 107084
  • 13 + 107071 = 107084
  • 31 + 107053 = 107084
  • 127 + 106957 = 107084
  • 163 + 106921 = 107084
  • 181 + 106903 = 107084
  • 223 + 106861 = 107084
  • 283 + 106801 = 107084

Showing the first eight; more decompositions exist.

Hex color
#01A24C
RGB(1, 162, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.76.

Address
0.1.162.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.76

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 107,084 and was likely granted around 1870.

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

Related reading

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