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104,082

104,082 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.).

104,082 (one hundred four thousand eighty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 11 × 19 × 83. Its proper divisors sum to 137,838, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19692.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
280,401
Recamán's sequence
a(93,939) = 104,082
Square (n²)
10,833,062,724
Cube (n³)
1,127,526,834,439,368
Divisor count
32
σ(n) — sum of divisors
241,920
φ(n) — Euler's totient
29,520
Sum of prime factors
118

Primality

Prime factorization: 2 × 3 × 11 × 19 × 83

Nearest primes: 104,059 (−23) · 104,087 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 11 · 19 · 22 · 33 · 38 · 57 · 66 · 83 · 114 · 166 · 209 · 249 · 418 · 498 · 627 · 913 · 1254 · 1577 · 1826 · 2739 · 3154 · 4731 · 5478 · 9462 · 17347 · 34694 · 52041 (half) · 104082
Aliquot sum (sum of proper divisors): 137,838
Factor pairs (a × b = 104,082)
1 × 104082
2 × 52041
3 × 34694
6 × 17347
11 × 9462
19 × 5478
22 × 4731
33 × 3154
38 × 2739
57 × 1826
66 × 1577
83 × 1254
114 × 913
166 × 627
209 × 498
249 × 418
First multiples
104,082 · 208,164 (double) · 312,246 · 416,328 · 520,410 · 624,492 · 728,574 · 832,656 · 936,738 · 1,040,820

Sums & aliquot sequence

As consecutive integers: 34,693 + 34,694 + 34,695 26,019 + 26,020 + 26,021 + 26,022 9,457 + 9,458 + … + 9,467 8,668 + 8,669 + … + 8,679
Aliquot sequence: 104,082 137,838 137,850 204,390 341,370 546,426 678,336 1,116,936 1,986,264 4,282,596 6,605,736 10,479,864 15,815,256 23,722,944 51,867,456 85,365,696 168,618,048 — unresolved within range

Continued fraction of √n

√104,082 = [322; (1, 1, 1, 1, 1, 1, 2, 3, 2, 3, 2, 1, 1, 1, 1, 1, 1, 644)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand eighty-two
Ordinal
104082nd
Binary
11001011010010010
Octal
313222
Hexadecimal
0x19692
Base64
AZaS
One's complement
4,294,863,213 (32-bit)
Scientific notation
1.04082 × 10⁵
As a duration
104,082 s = 1 day, 4 hours, 54 minutes, 42 seconds
In other bases
ternary (3) 12021202220
quaternary (4) 121122102
quinary (5) 11312312
senary (6) 2121510
septenary (7) 612306
nonary (9) 167686
undecimal (11) 71220
duodecimal (12) 50296
tridecimal (13) 384b4
tetradecimal (14) 29d06
pentadecimal (15) 20c8c

As an angle

104,082° = 289 × 360° + 42°
42° ≈ 0.733 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρδπβʹ
Mayan (base 20)
𝋭·𝋠·𝋤·𝋢
Chinese
一十萬四千零八十二
Chinese (financial)
壹拾萬肆仟零捌拾貳
In other modern scripts
Eastern Arabic ١٠٤٠٨٢ Devanagari १०४०८२ Bengali ১০৪০৮২ Tamil ௧௦௪௦௮௨ Thai ๑๐๔๐๘๒ Tibetan ༡༠༤༠༨༢ Khmer ១០៤០៨២ Lao ໑໐໔໐໘໒ Burmese ၁၀၄၀၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104082, here are decompositions:

  • 23 + 104059 = 104082
  • 29 + 104053 = 104082
  • 61 + 104021 = 104082
  • 73 + 104009 = 104082
  • 79 + 104003 = 104082
  • 89 + 103993 = 104082
  • 101 + 103981 = 104082
  • 103 + 103979 = 104082

Showing the first eight; more decompositions exist.

Hex color
#019692
RGB(1, 150, 146)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.146.

Address
0.1.150.146
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.150.146

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 104,082 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 104082 first appears in π at position 210,900 of the decimal expansion (the 210,900ordinal-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

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