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108,984

108,984 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.).
Abundant Number Arithmetic Number Happy Number Odious Number Practical Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
489,801
Square (n²)
11,877,512,256
Cube (n³)
1,294,458,795,707,904
Divisor count
32
σ(n) — sum of divisors
288,000
φ(n) — Euler's totient
34,272
Sum of prime factors
267

Primality

Prime factorization: 2 3 × 3 × 19 × 239

Nearest primes: 108,971 (−13) · 108,991 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 19 · 24 · 38 · 57 · 76 · 114 · 152 · 228 · 239 · 456 · 478 · 717 · 956 · 1434 · 1912 · 2868 · 4541 · 5736 · 9082 · 13623 · 18164 · 27246 · 36328 · 54492 (half) · 108984
Aliquot sum (sum of proper divisors): 179,016
Factor pairs (a × b = 108,984)
1 × 108984
2 × 54492
3 × 36328
4 × 27246
6 × 18164
8 × 13623
12 × 9082
19 × 5736
24 × 4541
38 × 2868
57 × 1912
76 × 1434
114 × 956
152 × 717
228 × 478
239 × 456
First multiples
108,984 · 217,968 (double) · 326,952 · 435,936 · 544,920 · 653,904 · 762,888 · 871,872 · 980,856 · 1,089,840

Sums & aliquot sequence

As consecutive integers: 36,327 + 36,328 + 36,329 6,804 + 6,805 + … + 6,819 5,727 + 5,728 + … + 5,745 2,247 + 2,248 + … + 2,294
Aliquot sequence: 108,984 179,016 268,584 462,936 694,464 1,143,480 2,555,880 5,673,720 12,661,800 27,514,200 69,979,560 171,663,960 415,657,320 927,240,600 2,515,039,080 5,038,048,920 10,301,706,600 — keeps growing

Continued fraction of √n

√108,984 = [330; (7, 1, 6, 13, 3, 26, 11, 1, 3, 27, 3, 1, 11, 26, 3, 13, 6, 1, 7, 660)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred eight thousand nine hundred eighty-four
Ordinal
108984th
Binary
11010100110111000
Octal
324670
Hexadecimal
0x1A9B8
Base64
Aam4
One's complement
4,294,858,311 (32-bit)
Scientific notation
1.08984 × 10⁵
In other bases
ternary (3) 12112111110
quaternary (4) 122212320
quinary (5) 11441414
senary (6) 2200320
septenary (7) 632511
nonary (9) 175443
undecimal (11) 74977
duodecimal (12) 530a0
tridecimal (13) 3a7b5
tetradecimal (14) 2ba08
pentadecimal (15) 22459

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρηϡπδʹ
Mayan (base 20)
𝋭·𝋬·𝋩·𝋤
Chinese
一十萬八千九百八十四
Chinese (financial)
壹拾萬捌仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١٠٨٩٨٤ Devanagari १०८९८४ Bengali ১০৮৯৮৪ Tamil ௧௦௮௯௮௪ Thai ๑๐๘๙๘๔ Tibetan ༡༠༨༩༨༤ Khmer ១០៨៩៨៤ Lao ໑໐໘໙໘໔ Burmese ၁၀၈၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108984, here are decompositions:

  • 13 + 108971 = 108984
  • 17 + 108967 = 108984
  • 23 + 108961 = 108984
  • 37 + 108947 = 108984
  • 41 + 108943 = 108984
  • 61 + 108923 = 108984
  • 67 + 108917 = 108984
  • 97 + 108887 = 108984

Showing the first eight; more decompositions exist.

Hex color
#01A9B8
RGB(1, 169, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.169.184.

Address
0.1.169.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.169.184

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 108,984 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 108984 first appears in π at position 343,413 of the decimal expansion (the 343,413ordinal-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.