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107,984

107,984 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 Evil Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
489,701
Recamán's sequence
a(46,723) = 107,984
Square (n²)
11,660,544,256
Cube (n³)
1,259,152,210,939,904
Divisor count
20
σ(n) — sum of divisors
222,084
φ(n) — Euler's totient
50,688
Sum of prime factors
422

Primality

Prime factorization: 2 4 × 17 × 397

Nearest primes: 107,981 (−3) · 107,999 (+15)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 17 · 34 · 68 · 136 · 272 · 397 · 794 · 1588 · 3176 · 6352 · 6749 · 13498 · 26996 · 53992 (half) · 107984
Aliquot sum (sum of proper divisors): 114,100
Factor pairs (a × b = 107,984)
1 × 107984
2 × 53992
4 × 26996
8 × 13498
16 × 6749
17 × 6352
34 × 3176
68 × 1588
136 × 794
272 × 397
First multiples
107,984 · 215,968 (double) · 323,952 · 431,936 · 539,920 · 647,904 · 755,888 · 863,872 · 971,856 · 1,079,840

Sums & aliquot sequence

As a sum of two squares: 20² + 328² = 172² + 280²
As consecutive integers: 6,344 + 6,345 + … + 6,360 3,359 + 3,360 + … + 3,390 74 + 75 + … + 470
Aliquot sequence: 107,984 114,100 170,604 322,980 711,900 1,860,852 3,101,644 3,579,604 3,579,660 9,161,460 25,537,932 48,239,044 50,058,428 54,494,020 76,868,540 110,661,124 115,372,796 — unresolved within range

Representations

In words
one hundred seven thousand nine hundred eighty-four
Ordinal
107984th
Binary
11010010111010000
Octal
322720
Hexadecimal
0x1A5D0
Base64
AaXQ
One's complement
4,294,859,311 (32-bit)
In other bases
ternary (3) 12111010102
quaternary (4) 122113100
quinary (5) 11423414
senary (6) 2151532
septenary (7) 626552
nonary (9) 174112
undecimal (11) 74148
duodecimal (12) 525a8
tridecimal (13) 3a1c6
tetradecimal (14) 2b4d2
pentadecimal (15) 21ede

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζϡπδʹ
Mayan (base 20)
𝋭·𝋩·𝋳·𝋤
Chinese
一十萬七千九百八十四
Chinese (financial)
壹拾萬柒仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١٠٧٩٨٤ Devanagari १०७९८४ Bengali ১০৭৯৮৪ Tamil ௧௦௭௯௮௪ Thai ๑๐๗๙๘๔ Tibetan ༡༠༧༩༨༤ Khmer ១០៧៩៨៤ Lao ໑໐໗໙໘໔ Burmese ၁၀၇၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107984, here are decompositions:

  • 3 + 107981 = 107984
  • 13 + 107971 = 107984
  • 43 + 107941 = 107984
  • 61 + 107923 = 107984
  • 103 + 107881 = 107984
  • 127 + 107857 = 107984
  • 157 + 107827 = 107984
  • 193 + 107791 = 107984

Showing the first eight; more decompositions exist.

Hex color
#01A5D0
RGB(1, 165, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.208.

Address
0.1.165.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.165.208

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 107,984 and was likely granted around 1870.

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