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104,304

104,304 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.).

104,304 (one hundred four thousand three hundred four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 41 × 53. Its proper divisors sum to 176,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19770.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
403,401
Recamán's sequence
a(92,583) = 104,304
Square (n²)
10,879,324,416
Cube (n³)
1,134,757,053,886,464
Divisor count
40
σ(n) — sum of divisors
281,232
φ(n) — Euler's totient
33,280
Sum of prime factors
105

Primality

Prime factorization: 2 4 × 3 × 41 × 53

Nearest primes: 104,297 (−7) · 104,309 (+5)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 41 · 48 · 53 · 82 · 106 · 123 · 159 · 164 · 212 · 246 · 318 · 328 · 424 · 492 · 636 · 656 · 848 · 984 · 1272 · 1968 · 2173 · 2544 · 4346 · 6519 · 8692 · 13038 · 17384 · 26076 · 34768 · 52152 (half) · 104304
Aliquot sum (sum of proper divisors): 176,928
Factor pairs (a × b = 104,304)
1 × 104304
2 × 52152
3 × 34768
4 × 26076
6 × 17384
8 × 13038
12 × 8692
16 × 6519
24 × 4346
41 × 2544
48 × 2173
53 × 1968
82 × 1272
106 × 984
123 × 848
159 × 656
164 × 636
212 × 492
246 × 424
318 × 328
First multiples
104,304 · 208,608 (double) · 312,912 · 417,216 · 521,520 · 625,824 · 730,128 · 834,432 · 938,736 · 1,043,040

Sums & aliquot sequence

As consecutive integers: 34,767 + 34,768 + 34,769 3,244 + 3,245 + … + 3,275 2,524 + 2,525 + … + 2,564 1,942 + 1,943 + … + 1,994
Aliquot sequence: 104,304 176,928 316,992 593,344 609,600 1,406,144 1,422,400 2,609,088 4,413,504 7,420,864 8,965,184 8,981,440 15,597,632 17,564,608 17,580,864 36,519,104 36,535,360 — unresolved within range

Continued fraction of √n

√104,304 = [322; (1, 24, 1, 5, 5, 3, 1, 5, 2, 1, 1, 3, 2, 3, 1, 12, 2, 2, 5, 40, 5, 2, 2, 12, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand three hundred four
Ordinal
104304th
Binary
11001011101110000
Octal
313560
Hexadecimal
0x19770
Base64
AZdw
One's complement
4,294,862,991 (32-bit)
Scientific notation
1.04304 × 10⁵
As a duration
104,304 s = 1 day, 4 hours, 58 minutes, 24 seconds
In other bases
ternary (3) 12022002010
quaternary (4) 121131300
quinary (5) 11314204
senary (6) 2122520
septenary (7) 613044
nonary (9) 168063
undecimal (11) 71402
duodecimal (12) 50440
tridecimal (13) 38625
tetradecimal (14) 2a024
pentadecimal (15) 20d89

As an angle

104,304° = 289 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρδτδʹ
Mayan (base 20)
𝋭·𝋠·𝋯·𝋤
Chinese
一十萬四千三百零四
Chinese (financial)
壹拾萬肆仟參佰零肆
In other modern scripts
Eastern Arabic ١٠٤٣٠٤ Devanagari १०४३०४ Bengali ১০৪৩০৪ Tamil ௧௦௪௩௦௪ Thai ๑๐๔๓๐๔ Tibetan ༡༠༤༣༠༤ Khmer ១០៤៣០៤ Lao ໑໐໔໓໐໔ Burmese ၁၀၄၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104304, here are decompositions:

  • 7 + 104297 = 104304
  • 17 + 104287 = 104304
  • 23 + 104281 = 104304
  • 61 + 104243 = 104304
  • 71 + 104233 = 104304
  • 73 + 104231 = 104304
  • 97 + 104207 = 104304
  • 131 + 104173 = 104304

Showing the first eight; more decompositions exist.

Hex color
#019770
RGB(1, 151, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.151.112.

Address
0.1.151.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.151.112

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 104,304 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 104304 first appears in π at position 737,678 of the decimal expansion (the 737,678ordinal-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°.