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473,304

473,304 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.).

473,304 (four hundred seventy-three thousand three hundred four) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 13 × 37 × 41. Its proper divisors sum to 867,336, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x738D8.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
403,374
Square (n²)
224,016,676,416
Cube (n³)
106,027,989,014,398,464
Divisor count
64
σ(n) — sum of divisors
1,340,640
φ(n) — Euler's totient
138,240
Sum of prime factors
100

Primality

Prime factorization: 2 3 × 3 × 13 × 37 × 41

Nearest primes: 473,293 (−11) · 473,311 (+7)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 24 · 26 · 37 · 39 · 41 · 52 · 74 · 78 · 82 · 104 · 111 · 123 · 148 · 156 · 164 · 222 · 246 · 296 · 312 · 328 · 444 · 481 · 492 · 533 · 888 · 962 · 984 · 1066 · 1443 · 1517 · 1599 · 1924 · 2132 · 2886 · 3034 · 3198 · 3848 · 4264 · 4551 · 5772 · 6068 · 6396 · 9102 · 11544 · 12136 · 12792 · 18204 · 19721 · 36408 · 39442 · 59163 · 78884 · 118326 · 157768 · 236652 (half) · 473304
Aliquot sum (sum of proper divisors): 867,336
Factor pairs (a × b = 473,304)
1 × 473304
2 × 236652
3 × 157768
4 × 118326
6 × 78884
8 × 59163
12 × 39442
13 × 36408
24 × 19721
26 × 18204
37 × 12792
39 × 12136
41 × 11544
52 × 9102
74 × 6396
78 × 6068
82 × 5772
104 × 4551
111 × 4264
123 × 3848
148 × 3198
156 × 3034
164 × 2886
222 × 2132
246 × 1924
296 × 1599
312 × 1517
328 × 1443
444 × 1066
481 × 984
492 × 962
533 × 888
First multiples
473,304 · 946,608 (double) · 1,419,912 · 1,893,216 · 2,366,520 · 2,839,824 · 3,313,128 · 3,786,432 · 4,259,736 · 4,733,040

Sums & aliquot sequence

As consecutive integers: 157,767 + 157,768 + 157,769 36,402 + 36,403 + … + 36,414 29,574 + 29,575 + … + 29,589 12,774 + 12,775 + … + 12,810
Aliquot sequence: 473,304 867,336 1,335,864 2,003,856 3,233,904 5,225,376 10,015,584 19,460,100 41,973,468 57,067,572 87,382,860 157,289,316 219,030,684 292,040,940 537,889,812 717,621,900 1,358,698,332 — unresolved within range

Continued fraction of √n

√473,304 = [687; (1, 33, 2, 1, 1, 54, 2, 3, 1, 1, 2, 2, 1, 3, 1, 2, 2, 1, 1, 3, 2, 54, 1, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-three thousand three hundred four
Ordinal
473304th
Binary
1110011100011011000
Octal
1634330
Hexadecimal
0x738D8
Base64
BzjY
One's complement
4,294,493,991 (32-bit)
Scientific notation
4.73304 × 10⁵
As a duration
473,304 s = 5 days, 11 hours, 28 minutes, 24 seconds
In other bases
ternary (3) 220001020210
quaternary (4) 1303203120
quinary (5) 110121204
senary (6) 14051120
septenary (7) 4010616
nonary (9) 801223
undecimal (11) 2a3667
duodecimal (12) 1a9aa0
tridecimal (13) 137580
tetradecimal (14) c46b6
pentadecimal (15) 95389

As an angle

473,304° = 1,314 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υογτδʹ
Chinese
四十七萬三千三百零四
Chinese (financial)
肆拾柒萬參仟參佰零肆
In other modern scripts
Eastern Arabic ٤٧٣٣٠٤ Devanagari ४७३३०४ Bengali ৪৭৩৩০৪ Tamil ௪௭௩௩௦௪ Thai ๔๗๓๓๐๔ Tibetan ༤༧༣༣༠༤ Khmer ៤៧៣៣០៤ Lao ໔໗໓໓໐໔ Burmese ၄၇၃၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473304, here are decompositions:

  • 11 + 473293 = 473304
  • 17 + 473287 = 473304
  • 47 + 473257 = 473304
  • 101 + 473203 = 473304
  • 103 + 473201 = 473304
  • 107 + 473197 = 473304
  • 113 + 473191 = 473304
  • 131 + 473173 = 473304

Showing the first eight; more decompositions exist.

Hex color
#0738D8
RGB(7, 56, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.56.216.

Address
0.7.56.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.56.216

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 473,304 and was likely granted around 1891.

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

Position in π

The digit sequence 473304 first appears in π at position 589,254 of the decimal expansion (the 589,254ordinal-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°.