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106,184

106,184 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.).

106,184 (one hundred six thousand one hundred eighty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 1,021. Its proper divisors sum to 108,436, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19EC8.

Abundant Number Odious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
481,601
Square (n²)
11,275,041,856
Cube (n³)
1,197,229,044,437,504
Divisor count
16
σ(n) — sum of divisors
214,620
φ(n) — Euler's totient
48,960
Sum of prime factors
1,040

Primality

Prime factorization: 2 3 × 13 × 1021

Nearest primes: 106,181 (−3) · 106,187 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 13 · 26 · 52 · 104 · 1021 · 2042 · 4084 · 8168 · 13273 · 26546 · 53092 (half) · 106184
Aliquot sum (sum of proper divisors): 108,436
Factor pairs (a × b = 106,184)
1 × 106184
2 × 53092
4 × 26546
8 × 13273
13 × 8168
26 × 4084
52 × 2042
104 × 1021
First multiples
106,184 · 212,368 (double) · 318,552 · 424,736 · 530,920 · 637,104 · 743,288 · 849,472 · 955,656 · 1,061,840

Sums & aliquot sequence

As a sum of two squares: 50² + 322² = 170² + 278²
As consecutive integers: 8,162 + 8,163 + … + 8,174 6,629 + 6,630 + … + 6,644 407 + 408 + … + 614
Aliquot sequence: 106,184 → 108,436 → 81,334 → 51,794 → 34,606 → 26,882 → 13,444 → 10,090 → 8,090 → 6,490 → 6,470 → 5,194 → 4,040 → 5,140 → 5,696 → 5,734 → 3,194 — unresolved within range

Continued fraction of √n

√106,184 = [325; (1, 6, 11, 1, 2, 2, 2, 4, 1, 37, 1, 1, 11, 2, 1, 10, 1, 25, 6, 2, 11, 5, 1, 2, …)]

Representations

In words
one hundred six thousand one hundred eighty-four
Ordinal
106184th
Binary
11001111011001000
Octal
317310
Hexadecimal
0x19EC8
Base64
AZ7I
One's complement
4,294,861,111 (32-bit)
Scientific notation
1.06184 × 10⁵
As a duration
106,184 s = 1 day, 5 hours, 29 minutes, 44 seconds
In other bases
ternary (3) 12101122202
quaternary (4) 121323020
quinary (5) 11344214
senary (6) 2135332
septenary (7) 621401
nonary (9) 171582
undecimal (11) 72861
duodecimal (12) 51548
tridecimal (13) 39440
tetradecimal (14) 2a9a8
pentadecimal (15) 216de

As an angle

106,184° = 294 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛρπδʹ
Mayan (base 20)
𝋭·𝋥·𝋩·𝋤
Chinese
十萬六千一百八十四
Chinese (financial)
壹拾萬陸仟壹佰捌拾肆
In other modern scripts
Eastern Arabic ١٠٦١٨٤ Devanagari १०६१८४ Bengali ১০৬১৮৪ Tamil ௧௦௬௧௮௪ Thai ๑๐๖๑๘๔ Tibetan ༡༠༦༡༨༤ Khmer ១០៦១៨៤ Lao ໑໐໖໑໘໔ Burmese ၁၀၆၁၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106184, here are decompositions:

  • 3 + 106181 = 106184
  • 61 + 106123 = 106184
  • 97 + 106087 = 106184
  • 151 + 106033 = 106184
  • 241 + 105943 = 106184
  • 271 + 105913 = 106184
  • 277 + 105907 = 106184
  • 313 + 105871 = 106184

Showing the first eight; more decompositions exist.

Hex color
#019EC8
RGB(1, 158, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.200.

Address
0.1.158.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.158.200

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 106,184 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 106184 first appears in π at position 173,553 of the decimal expansion (the 173,553ordinal-suffix:rd 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.

Related reading

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