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103,984

103,984 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.).

103,984 (one hundred three thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 67 × 97. Written other ways, in hexadecimal, 0x19630.

Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
489,301
Recamán's sequence
a(94,135) = 103,984
Square (n²)
10,812,672,256
Cube (n³)
1,124,344,911,867,904
Divisor count
20
σ(n) — sum of divisors
206,584
φ(n) — Euler's totient
50,688
Sum of prime factors
172

Primality

Prime factorization: 2 4 × 67 × 97

Nearest primes: 103,981 (−3) · 103,991 (+7)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 67 · 97 · 134 · 194 · 268 · 388 · 536 · 776 · 1072 · 1552 · 6499 · 12998 · 25996 · 51992 (half) · 103984
Aliquot sum (sum of proper divisors): 102,600
Factor pairs (a × b = 103,984)
1 × 103984
2 × 51992
4 × 25996
8 × 12998
16 × 6499
67 × 1552
97 × 1072
134 × 776
194 × 536
268 × 388
First multiples
103,984 · 207,968 (double) · 311,952 · 415,936 · 519,920 · 623,904 · 727,888 · 831,872 · 935,856 · 1,039,840

Sums & aliquot sequence

As consecutive integers: 3,234 + 3,235 + … + 3,265 1,519 + 1,520 + … + 1,585 1,024 + 1,025 + … + 1,120
Aliquot sequence: 103,984 102,600 269,400 567,600 1,462,032 3,412,656 6,878,352 12,648,176 12,703,624 13,394,576 14,978,608 14,171,312 14,847,664 19,984,556 15,199,012 12,954,428 11,949,892 — unresolved within range

Continued fraction of √n

√103,984 = [322; (2, 6, 1, 2, 1, 18, 1, 4, 19, 1, 19, 1, 5, 1, 5, 8, 1, 1, 1, 39, 1, 1, 1, 8, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred three thousand nine hundred eighty-four
Ordinal
103984th
Binary
11001011000110000
Octal
313060
Hexadecimal
0x19630
Base64
AZYw
One's complement
4,294,863,311 (32-bit)
Scientific notation
1.03984 × 10⁵
As a duration
103,984 s = 1 day, 4 hours, 53 minutes, 4 seconds
In other bases
ternary (3) 12021122021
quaternary (4) 121120300
quinary (5) 11311414
senary (6) 2121224
septenary (7) 612106
nonary (9) 167567
undecimal (11) 71141
duodecimal (12) 50214
tridecimal (13) 3843a
tetradecimal (14) 29c76
pentadecimal (15) 20c24

As an angle

103,984° = 288 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ργϡπδʹ
Mayan (base 20)
𝋬·𝋳·𝋳·𝋤
Chinese
一十萬三千九百八十四
Chinese (financial)
壹拾萬參仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١٠٣٩٨٤ Devanagari १०३९८४ Bengali ১০৩৯৮৪ Tamil ௧௦௩௯௮௪ Thai ๑๐๓๙๘๔ Tibetan ༡༠༣༩༨༤ Khmer ១០៣៩៨៤ Lao ໑໐໓໙໘໔ Burmese ၁၀၃၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103984, here are decompositions:

  • 3 + 103981 = 103984
  • 5 + 103979 = 103984
  • 17 + 103967 = 103984
  • 71 + 103913 = 103984
  • 173 + 103811 = 103984
  • 197 + 103787 = 103984
  • 281 + 103703 = 103984
  • 401 + 103583 = 103984

Showing the first eight; more decompositions exist.

Hex color
#019630
RGB(1, 150, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.48.

Address
0.1.150.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.150.48

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 103,984 and was likely granted around 1870.

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

Related reading