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104,384

104,384 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.).

104,384 (one hundred four thousand three hundred eighty-four) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 7 × 233. Its proper divisors sum to 133,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x197C0.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
483,401
Recamán's sequence
a(92,423) = 104,384
Square (n²)
10,896,019,456
Cube (n³)
1,137,370,094,895,104
Divisor count
28
σ(n) — sum of divisors
237,744
φ(n) — Euler's totient
44,544
Sum of prime factors
252

Primality

Prime factorization: 2 6 × 7 × 233

Nearest primes: 104,383 (−1) · 104,393 (+9)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 64 · 112 · 224 · 233 · 448 · 466 · 932 · 1631 · 1864 · 3262 · 3728 · 6524 · 7456 · 13048 · 14912 · 26096 · 52192 (half) · 104384
Aliquot sum (sum of proper divisors): 133,360
Factor pairs (a × b = 104,384)
1 × 104384
2 × 52192
4 × 26096
7 × 14912
8 × 13048
14 × 7456
16 × 6524
28 × 3728
32 × 3262
56 × 1864
64 × 1631
112 × 932
224 × 466
233 × 448
First multiples
104,384 · 208,768 (double) · 313,152 · 417,536 · 521,920 · 626,304 · 730,688 · 835,072 · 939,456 · 1,043,840

Sums & aliquot sequence

As consecutive integers: 14,909 + 14,910 + … + 14,915 752 + 753 + … + 879 332 + 333 + … + 564
Aliquot sequence: 104,384 133,360 176,888 154,792 162,008 218,152 246,968 216,112 235,248 445,512 728,088 1,172,712 1,789,368 3,323,592 6,433,848 11,119,272 16,678,968 — unresolved within range

Continued fraction of √n

√104,384 = [323; (11, 1, 2, 1, 20, 10, 20, 1, 2, 1, 11, 646)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand three hundred eighty-four
Ordinal
104384th
Binary
11001011111000000
Octal
313700
Hexadecimal
0x197C0
Base64
AZfA
One's complement
4,294,862,911 (32-bit)
Scientific notation
1.04384 × 10⁵
As a duration
104,384 s = 1 day, 4 hours, 59 minutes, 44 seconds
In other bases
ternary (3) 12022012002
quaternary (4) 121133000
quinary (5) 11320014
senary (6) 2123132
septenary (7) 613220
nonary (9) 168162
undecimal (11) 71475
duodecimal (12) 504a8
tridecimal (13) 38687
tetradecimal (14) 2a080
pentadecimal (15) 20dde

As an angle

104,384° = 289 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρδτπδʹ
Mayan (base 20)
𝋭·𝋠·𝋳·𝋤
Chinese
一十萬四千三百八十四
Chinese (financial)
壹拾萬肆仟參佰捌拾肆
In other modern scripts
Eastern Arabic ١٠٤٣٨٤ Devanagari १०४३८४ Bengali ১০৪৩৮৪ Tamil ௧௦௪௩௮௪ Thai ๑๐๔๓๘๔ Tibetan ༡༠༤༣༨༤ Khmer ១០៤៣៨៤ Lao ໑໐໔໓໘໔ Burmese ၁၀၄၃၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104384, here are decompositions:

  • 3 + 104381 = 104384
  • 37 + 104347 = 104384
  • 61 + 104323 = 104384
  • 73 + 104311 = 104384
  • 97 + 104287 = 104384
  • 103 + 104281 = 104384
  • 151 + 104233 = 104384
  • 211 + 104173 = 104384

Showing the first eight; more decompositions exist.

Hex color
#0197C0
RGB(1, 151, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.151.192.

Address
0.1.151.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.151.192

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 104,384 and was likely granted around 1870.

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

Position in π

The digit sequence 104384 first appears in π at position 213,180 of the decimal expansion (the 213,180ordinal-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.