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113,084

113,084 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.).

113,084 (one hundred thirteen thousand eighty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 17 × 1,663. Written other ways, in hexadecimal, 0x1B9BC.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
480,311
Recamán's sequence
a(53,223) = 113,084
Square (n²)
12,787,991,056
Cube (n³)
1,446,117,180,576,704
Divisor count
12
σ(n) — sum of divisors
209,664
φ(n) — Euler's totient
53,184
Sum of prime factors
1,684

Primality

Prime factorization: 2 2 × 17 × 1663

Nearest primes: 113,083 (−1) · 113,089 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 17 · 34 · 68 · 1663 · 3326 · 6652 · 28271 · 56542 (half) · 113084
Aliquot sum (sum of proper divisors): 96,580
Factor pairs (a × b = 113,084)
1 × 113084
2 × 56542
4 × 28271
17 × 6652
34 × 3326
68 × 1663
First multiples
113,084 · 226,168 (double) · 339,252 · 452,336 · 565,420 · 678,504 · 791,588 · 904,672 · 1,017,756 · 1,130,840

Sums & aliquot sequence

As a sum of two cubes: 21³ + 47³
As consecutive integers: 14,132 + 14,133 + … + 14,139 6,644 + 6,645 + … + 6,660 764 + 765 + … + 899
Aliquot sequence: 113,084 96,580 125,180 162,100 189,874 97,406 50,338 25,172 28,588 28,644 57,372 95,844 165,900 389,620 682,892 731,668 758,198 — unresolved within range

Continued fraction of √n

√113,084 = [336; (3, 1, 1, 2, 1, 3, 1, 3, 1, 5, 1, 2, 11, 1, 7, 5, 2, 3, 5, 1, 1, 3, 1, 2, …)]

Representations

In words
one hundred thirteen thousand eighty-four
Ordinal
113084th
Binary
11011100110111100
Octal
334674
Hexadecimal
0x1B9BC
Base64
Abm8
One's complement
4,294,854,211 (32-bit)
Scientific notation
1.13084 × 10⁵
As a duration
113,084 s = 1 day, 7 hours, 24 minutes, 44 seconds
In other bases
ternary (3) 12202010022
quaternary (4) 123212330
quinary (5) 12104314
senary (6) 2231312
septenary (7) 650456
nonary (9) 182108
undecimal (11) 77a64
duodecimal (12) 55538
tridecimal (13) 3c61a
tetradecimal (14) 2d2d6
pentadecimal (15) 2378e

As an angle

113,084° = 314 × 360° + 44°
44° ≈ 0.768 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγπδʹ
Mayan (base 20)
𝋮·𝋢·𝋮·𝋤
Chinese
一十一萬三千零八十四
Chinese (financial)
壹拾壹萬參仟零捌拾肆
In other modern scripts
Eastern Arabic ١١٣٠٨٤ Devanagari ११३०८४ Bengali ১১৩০৮৪ Tamil ௧௧௩௦௮௪ Thai ๑๑๓๐๘๔ Tibetan ༡༡༣༠༨༤ Khmer ១១៣០៨៤ Lao ໑໑໓໐໘໔ Burmese ၁၁၃၀၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113084, here are decompositions:

  • 3 + 113081 = 113084
  • 43 + 113041 = 113084
  • 61 + 113023 = 113084
  • 67 + 113017 = 113084
  • 73 + 113011 = 113084
  • 157 + 112927 = 113084
  • 163 + 112921 = 113084
  • 241 + 112843 = 113084

Showing the first eight; more decompositions exist.

Hex color
#01B9BC
RGB(1, 185, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.188.

Address
0.1.185.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.188

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 113,084 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 113084 first appears in π at position 529,047 of the decimal expansion (the 529,047ordinal-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.