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104,784

104,784 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.).

104,784 (one hundred four thousand seven hundred eighty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 37 × 59. Its proper divisors sum to 177,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19950.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
487,401
Recamán's sequence
a(91,623) = 104,784
Square (n²)
10,979,686,656
Cube (n³)
1,150,495,486,562,304
Divisor count
40
σ(n) — sum of divisors
282,720
φ(n) — Euler's totient
33,408
Sum of prime factors
107

Primality

Prime factorization: 2 4 × 3 × 37 × 59

Nearest primes: 104,779 (−5) · 104,789 (+5)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 37 · 48 · 59 · 74 · 111 · 118 · 148 · 177 · 222 · 236 · 296 · 354 · 444 · 472 · 592 · 708 · 888 · 944 · 1416 · 1776 · 2183 · 2832 · 4366 · 6549 · 8732 · 13098 · 17464 · 26196 · 34928 · 52392 (half) · 104784
Aliquot sum (sum of proper divisors): 177,936
Factor pairs (a × b = 104,784)
1 × 104784
2 × 52392
3 × 34928
4 × 26196
6 × 17464
8 × 13098
12 × 8732
16 × 6549
24 × 4366
37 × 2832
48 × 2183
59 × 1776
74 × 1416
111 × 944
118 × 888
148 × 708
177 × 592
222 × 472
236 × 444
296 × 354
First multiples
104,784 · 209,568 (double) · 314,352 · 419,136 · 523,920 · 628,704 · 733,488 · 838,272 · 943,056 · 1,047,840

Sums & aliquot sequence

As consecutive integers: 34,927 + 34,928 + 34,929 3,259 + 3,260 + … + 3,290 2,814 + 2,815 + … + 2,850 1,747 + 1,748 + … + 1,805
Aliquot sequence: 104,784 177,936 325,008 624,460 686,948 522,652 561,228 748,332 1,403,748 2,144,706 2,175,294 2,780,610 4,846,782 4,846,794 4,937,046 5,028,954 6,465,894 — unresolved within range

Continued fraction of √n

√104,784 = [323; (1, 2, 2, 1, 2, 9, 1, 2, 1, 12, 1, 2, 1, 9, 2, 1, 2, 2, 1, 646)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand seven hundred eighty-four
Ordinal
104784th
Binary
11001100101010000
Octal
314520
Hexadecimal
0x19950
Base64
AZlQ
One's complement
4,294,862,511 (32-bit)
Scientific notation
1.04784 × 10⁵
As a duration
104,784 s = 1 day, 5 hours, 6 minutes, 24 seconds
In other bases
ternary (3) 12022201220
quaternary (4) 121211100
quinary (5) 11323114
senary (6) 2125040
septenary (7) 614331
nonary (9) 168656
undecimal (11) 717a9
duodecimal (12) 50780
tridecimal (13) 38904
tetradecimal (14) 2a288
pentadecimal (15) 210a9

As an angle

104,784° = 291 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρδψπδʹ
Mayan (base 20)
𝋭·𝋡·𝋳·𝋤
Chinese
一十萬四千七百八十四
Chinese (financial)
壹拾萬肆仟柒佰捌拾肆
In other modern scripts
Eastern Arabic ١٠٤٧٨٤ Devanagari १०४७८४ Bengali ১০৪৭৮৪ Tamil ௧௦௪௭௮௪ Thai ๑๐๔๗๘๔ Tibetan ༡༠༤༧༨༤ Khmer ១០៤៧៨៤ Lao ໑໐໔໗໘໔ Burmese ၁၀၄၇၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104784, here are decompositions:

  • 5 + 104779 = 104784
  • 11 + 104773 = 104784
  • 23 + 104761 = 104784
  • 41 + 104743 = 104784
  • 61 + 104723 = 104784
  • 67 + 104717 = 104784
  • 73 + 104711 = 104784
  • 83 + 104701 = 104784

Showing the first eight; more decompositions exist.

Hex color
#019950
RGB(1, 153, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.153.80.

Address
0.1.153.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.153.80

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 104,784 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 104784 first appears in π at position 95,941 of the decimal expansion (the 95,941ordinal-suffix:st 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.