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110,684

110,684 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.).

110,684 (one hundred ten thousand six hundred eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 59 × 67. Its proper divisors sum to 117,796, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B05C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence 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
486,011
Recamán's sequence
a(49,871) = 110,684
Square (n²)
12,250,947,856
Cube (n³)
1,355,983,912,493,504
Divisor count
24
σ(n) — sum of divisors
228,480
φ(n) — Euler's totient
45,936
Sum of prime factors
137

Primality

Prime factorization: 2 2 × 7 × 59 × 67

Nearest primes: 110,681 (−3) · 110,711 (+27)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 28 · 59 · 67 · 118 · 134 · 236 · 268 · 413 · 469 · 826 · 938 · 1652 · 1876 · 3953 · 7906 · 15812 · 27671 · 55342 (half) · 110684
Aliquot sum (sum of proper divisors): 117,796
Factor pairs (a × b = 110,684)
1 × 110684
2 × 55342
4 × 27671
7 × 15812
14 × 7906
28 × 3953
59 × 1876
67 × 1652
118 × 938
134 × 826
236 × 469
268 × 413
First multiples
110,684 · 221,368 (double) · 332,052 · 442,736 · 553,420 · 664,104 · 774,788 · 885,472 · 996,156 · 1,106,840

Sums & aliquot sequence

As consecutive integers: 15,809 + 15,810 + … + 15,815 13,832 + 13,833 + … + 13,839 1,949 + 1,950 + … + 2,004 1,847 + 1,848 + … + 1,905
Aliquot sequence: 110,684 117,796 122,402 91,348 72,704 74,680 93,440 133,444 103,800 219,840 481,200 1,064,088 1,818,012 3,246,180 7,398,300 19,044,452 19,044,508 — unresolved within range

Continued fraction of √n

√110,684 = [332; (1, 2, 4, 22, 1, 2, 2, 26, 5, 3, 21, 6, 1, 1, 1, 1, 5, 5, 1, 1, 3, 1, 5, 166, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand six hundred eighty-four
Ordinal
110684th
Binary
11011000001011100
Octal
330134
Hexadecimal
0x1B05C
Base64
AbBc
One's complement
4,294,856,611 (32-bit)
Scientific notation
1.10684 × 10⁵
As a duration
110,684 s = 1 day, 6 hours, 44 minutes, 44 seconds
In other bases
ternary (3) 12121211102
quaternary (4) 123001130
quinary (5) 12020214
senary (6) 2212232
septenary (7) 640460
nonary (9) 177742
undecimal (11) 76182
duodecimal (12) 54078
tridecimal (13) 3b4c2
tetradecimal (14) 2c4a0
pentadecimal (15) 22bde

As an angle

110,684° = 307 × 360° + 164°
164° ≈ 2.862 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριχπδʹ
Mayan (base 20)
𝋭·𝋰·𝋮·𝋤
Chinese
一十一萬零六百八十四
Chinese (financial)
壹拾壹萬零陸佰捌拾肆
In other modern scripts
Eastern Arabic ١١٠٦٨٤ Devanagari ११०६८४ Bengali ১১০৬৮৪ Tamil ௧௧௦௬௮௪ Thai ๑๑๐๖๘๔ Tibetan ༡༡༠༦༨༤ Khmer ១១០៦៨៤ Lao ໑໑໐໖໘໔ Burmese ၁၁၀၆၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110684, here are decompositions:

  • 3 + 110681 = 110684
  • 37 + 110647 = 110684
  • 43 + 110641 = 110684
  • 61 + 110623 = 110684
  • 97 + 110587 = 110684
  • 103 + 110581 = 110684
  • 127 + 110557 = 110684
  • 151 + 110533 = 110684

Showing the first eight; more decompositions exist.

Unicode codepoint
𛁜
Hentaigana Letter So-6
U+1B05C
Other letter (Lo)

UTF-8 encoding: F0 9B 81 9C (4 bytes).

Hex color
#01B05C
RGB(1, 176, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.176.92.

Address
0.1.176.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.176.92

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 110,684 and was likely granted around 1871.

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.