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105,984

105,984 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 Recamán's Sequence

Properties

Parity
Even
Digit count
6
Digit sum
27
Digital root
9
Palindrome
No
Reversed
489,501
Recamán's sequence
a(89,203) = 105,984
Divisor count
60
σ(n) — sum of divisors
319,176

Primality

Prime factorization: 2 9 × 3 2 × 23

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 23 · 24 · 32 · 36 · 46 · 48 · 64 · 69 · 72 · 92 · 96 · 128 · 138 · 144 · 184 · 192 · 207 · 256 · 276 · 288 · 368 · 384 · 414 · 512 · 552 · 576 · 736 · 768 · 828 · 1104 · 1152 · 1472 · 1536 · 1656 · 2208 · 2304 · 2944 · 3312 · 4416 · 4608 · 5888 · 6624 · 8832 · 11776 · 13248 · 17664 · 26496 · 35328 · 52992 · 105984
Aliquot sum (sum of proper divisors): 213,192
Factor pairs (a × b = 105,984)
1 × 105984
2 × 52992
3 × 35328
4 × 26496
6 × 17664
8 × 13248
9 × 11776
12 × 8832
16 × 6624
18 × 5888
23 × 4608
24 × 4416
32 × 3312
36 × 2944
46 × 2304
48 × 2208
64 × 1656
69 × 1536
72 × 1472
92 × 1152
96 × 1104
128 × 828
138 × 768
144 × 736
184 × 576
192 × 552
207 × 512
256 × 414
276 × 384
288 × 368
First multiples
105,984 · 211,968 · 317,952 · 423,936 · 529,920 · 635,904 · 741,888 · 847,872 · 953,856 · 1,059,840

Representations

In words
one hundred five thousand nine hundred eighty-four
Ordinal
105984th
Binary
11001111000000000
Octal
317000
Hexadecimal
0x19E00
Base64
AZ4A

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 105984, here are decompositions:

  • 7 + 105977 = 105984
  • 13 + 105971 = 105984
  • 17 + 105967 = 105984
  • 31 + 105953 = 105984
  • 41 + 105943 = 105984
  • 71 + 105913 = 105984
  • 101 + 105883 = 105984
  • 113 + 105871 = 105984

Showing the first eight; more decompositions exist.

Hex color
#019E00
RGB(1, 158, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.0.

Address
0.1.158.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.158.0

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 105,984 and was likely granted around 1870.

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