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106,684

106,684 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.).

106,684 (one hundred six thousand six hundred eighty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 149 × 179. Written other ways, in hexadecimal, 0x1A0BC.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
486,601
Recamán's sequence
a(85,975) = 106,684
Square (n²)
11,381,475,856
Cube (n³)
1,214,221,370,221,504
Divisor count
12
σ(n) — sum of divisors
189,000
φ(n) — Euler's totient
52,688
Sum of prime factors
332

Primality

Prime factorization: 2 2 × 149 × 179

Nearest primes: 106,681 (−3) · 106,693 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 149 · 179 · 298 · 358 · 596 · 716 · 26671 · 53342 (half) · 106684
Aliquot sum (sum of proper divisors): 82,316
Factor pairs (a × b = 106,684)
1 × 106684
2 × 53342
4 × 26671
149 × 716
179 × 596
298 × 358
First multiples
106,684 · 213,368 (double) · 320,052 · 426,736 · 533,420 · 640,104 · 746,788 · 853,472 · 960,156 · 1,066,840

Sums & aliquot sequence

As consecutive integers: 13,332 + 13,333 + … + 13,339 642 + 643 + … + 790 507 + 508 + … + 685
Aliquot sequence: 106,684 → 82,316 → 72,916 → 54,694 → 36,026 → 18,016 → 17,516 → 14,404 → 12,840 → 26,040 → 66,120 → 149,880 → 300,120 → 637,320 → 1,332,600 → 2,800,320 → 6,093,744 — unresolved within range

Continued fraction of √n

√106,684 = [326; (1, 1, 1, 2, 92, 1, 17, 1, 2, 12, 1, 129, 1, 2, 1, 1, 1, 3, 18, 2, 1, 1, 3, 7, …)]

Representations

In words
one hundred six thousand six hundred eighty-four
Ordinal
106684th
Binary
11010000010111100
Octal
320274
Hexadecimal
0x1A0BC
Base64
AaC8
One's complement
4,294,860,611 (32-bit)
Scientific notation
1.06684 × 10⁵
As a duration
106,684 s = 1 day, 5 hours, 38 minutes, 4 seconds
In other bases
ternary (3) 12102100021
quaternary (4) 122002330
quinary (5) 11403214
senary (6) 2141524
septenary (7) 623014
nonary (9) 172307
undecimal (11) 73176
duodecimal (12) 518a4
tridecimal (13) 39736
tetradecimal (14) 2ac44
pentadecimal (15) 21924

As an angle

106,684° = 296 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛχπδʹ
Mayan (base 20)
𝋭·𝋦·𝋮·𝋤
Chinese
十萬六千六百八十四
Chinese (financial)
壹拾萬陸仟陸佰捌拾肆
In other modern scripts
Eastern Arabic ١٠٦٦٨٤ Devanagari १०६६८४ Bengali ১০৬৬৮৪ Tamil ௧௦௬௬௮௪ Thai ๑๐๖๖๘๔ Tibetan ༡༠༦༦༨༤ Khmer ១០៦៦៨៤ Lao ໑໐໖໖໘໔ Burmese ၁၀၆၆၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106684, here are decompositions:

  • 3 + 106681 = 106684
  • 23 + 106661 = 106684
  • 47 + 106637 = 106684
  • 197 + 106487 = 106684
  • 233 + 106451 = 106684
  • 251 + 106433 = 106684
  • 257 + 106427 = 106684
  • 293 + 106391 = 106684

Showing the first eight; more decompositions exist.

Hex color
#01A0BC
RGB(1, 160, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.160.188.

Address
0.1.160.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.160.188

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 106,684 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