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110,084

110,084 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.).

110,084 (one hundred ten thousand eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 13 × 29 × 73. Written other ways, in hexadecimal, 0x1AE04.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
480,011
Recamán's sequence
a(249,128) = 110,084
Square (n²)
12,118,487,056
Cube (n³)
1,334,051,529,072,704
Divisor count
24
σ(n) — sum of divisors
217,560
φ(n) — Euler's totient
48,384
Sum of prime factors
119

Primality

Prime factorization: 2 2 × 13 × 29 × 73

Nearest primes: 110,083 (−1) · 110,119 (+35)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 13 · 26 · 29 · 52 · 58 · 73 · 116 · 146 · 292 · 377 · 754 · 949 · 1508 · 1898 · 2117 · 3796 · 4234 · 8468 · 27521 · 55042 (half) · 110084
Aliquot sum (sum of proper divisors): 107,476
Factor pairs (a × b = 110,084)
1 × 110084
2 × 55042
4 × 27521
13 × 8468
26 × 4234
29 × 3796
52 × 2117
58 × 1898
73 × 1508
116 × 949
146 × 754
292 × 377
First multiples
110,084 · 220,168 (double) · 330,252 · 440,336 · 550,420 · 660,504 · 770,588 · 880,672 · 990,756 · 1,100,840

Sums & aliquot sequence

As a sum of two squares: 50² + 328² = 80² + 322² = 178² + 280² = 190² + 272²
As consecutive integers: 13,757 + 13,758 + … + 13,764 8,462 + 8,463 + … + 8,474 3,782 + 3,783 + … + 3,810 1,472 + 1,473 + … + 1,544
Aliquot sequence: 110,084 107,476 83,232 168,201 96,999 56,601 29,719 377 43 1 0 — terminates at zero

Continued fraction of √n

√110,084 = [331; (1, 3, 1, 2, 1, 6, 2, 9, 1, 9, 3, 3, 1, 1, 18, 2, 1, 1, 6, 26, 2, 1, 1, 4, …)]

Representations

In words
one hundred ten thousand eighty-four
Ordinal
110084th
Binary
11010111000000100
Octal
327004
Hexadecimal
0x1AE04
Base64
Aa4E
One's complement
4,294,857,211 (32-bit)
Scientific notation
1.10084 × 10⁵
As a duration
110,084 s = 1 day, 6 hours, 34 minutes, 44 seconds
In other bases
ternary (3) 12121000012
quaternary (4) 122320010
quinary (5) 12010314
senary (6) 2205352
septenary (7) 635642
nonary (9) 177005
undecimal (11) 75787
duodecimal (12) 53858
tridecimal (13) 3b150
tetradecimal (14) 2c192
pentadecimal (15) 2293e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριπδʹ
Mayan (base 20)
𝋭·𝋯·𝋤·𝋤
Chinese
一十一萬零八十四
Chinese (financial)
壹拾壹萬零捌拾肆
In other modern scripts
Eastern Arabic ١١٠٠٨٤ Devanagari ११००८४ Bengali ১১০০৮৪ Tamil ௧௧௦௦௮௪ Thai ๑๑๐๐๘๔ Tibetan ༡༡༠༠༨༤ Khmer ១១០០៨៤ Lao ໑໑໐໐໘໔ Burmese ၁၁၀၀၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110084, here are decompositions:

  • 61 + 110023 = 110084
  • 67 + 110017 = 110084
  • 97 + 109987 = 110084
  • 181 + 109903 = 110084
  • 193 + 109891 = 110084
  • 211 + 109873 = 110084
  • 241 + 109843 = 110084
  • 277 + 109807 = 110084

Showing the first eight; more decompositions exist.

Hex color
#01AE04
RGB(1, 174, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.174.4.

Address
0.1.174.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.174.4

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 110,084 and was likely granted around 1871.

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

Position in π

The digit sequence 110084 first appears in π at position 157,430 of the decimal expansion (the 157,430ordinal-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.

Related reading

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