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110,984

110,984 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.).

110,984 (one hundred ten thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 13,873. Written other ways, in hexadecimal, 0x1B188.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
489,011
Recamán's sequence
a(49,271) = 110,984
Square (n²)
12,317,448,256
Cube (n³)
1,367,039,677,243,904
Divisor count
8
σ(n) — sum of divisors
208,110
φ(n) — Euler's totient
55,488
Sum of prime factors
13,879

Primality

Prime factorization: 2 3 × 13873

Nearest primes: 110,977 (−7) · 110,989 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 13873 · 27746 · 55492 (half) · 110984
Aliquot sum (sum of proper divisors): 97,126
Factor pairs (a × b = 110,984)
1 × 110984
2 × 55492
4 × 27746
8 × 13873
First multiples
110,984 · 221,968 (double) · 332,952 · 443,936 · 554,920 · 665,904 · 776,888 · 887,872 · 998,856 · 1,109,840

Sums & aliquot sequence

As a sum of two squares: 122² + 310²
As consecutive integers: 6,929 + 6,930 + … + 6,944
Aliquot sequence: 110,984 97,126 48,566 34,714 20,474 11,386 5,696 5,734 3,194 1,600 2,337 1,023 513 287 49 8 7 — unresolved within range

Continued fraction of √n

√110,984 = [333; (7, 83, 7, 666)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand nine hundred eighty-four
Ordinal
110984th
Binary
11011000110001000
Octal
330610
Hexadecimal
0x1B188
Base64
AbGI
One's complement
4,294,856,311 (32-bit)
Scientific notation
1.10984 × 10⁵
As a duration
110,984 s = 1 day, 6 hours, 49 minutes, 44 seconds
In other bases
ternary (3) 12122020112
quaternary (4) 123012020
quinary (5) 12022414
senary (6) 2213452
septenary (7) 641366
nonary (9) 178215
undecimal (11) 76425
duodecimal (12) 54288
tridecimal (13) 3b693
tetradecimal (14) 2c636
pentadecimal (15) 22d3e

As an angle

110,984° = 308 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριϡπδʹ
Mayan (base 20)
𝋭·𝋱·𝋩·𝋤
Chinese
一十一萬零九百八十四
Chinese (financial)
壹拾壹萬零玖佰捌拾肆
In other modern scripts
Eastern Arabic ١١٠٩٨٤ Devanagari ११०९८४ Bengali ১১০৯৮৪ Tamil ௧௧௦௯௮௪ Thai ๑๑๐๙๘๔ Tibetan ༡༡༠༩༨༤ Khmer ១១០៩៨៤ Lao ໑໑໐໙໘໔ Burmese ၁၁၀၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110984, here are decompositions:

  • 7 + 110977 = 110984
  • 37 + 110947 = 110984
  • 61 + 110923 = 110984
  • 67 + 110917 = 110984
  • 103 + 110881 = 110984
  • 163 + 110821 = 110984
  • 337 + 110647 = 110984
  • 397 + 110587 = 110984

Showing the first eight; more decompositions exist.

Unicode codepoint
𛆈
Nushu Character-1B188
U+1B188
Other letter (Lo)

UTF-8 encoding: F0 9B 86 88 (4 bytes).

Hex color
#01B188
RGB(1, 177, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.177.136.

Address
0.1.177.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.177.136

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 110,984 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 110984 first appears in π at position 24,404 of the decimal expansion (the 24,404ordinal-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.