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472,304

472,304 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.).

472,304 (four hundred seventy-two thousand three hundred four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 4,217. Its proper divisors sum to 573,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x734F0.

Abundant Number Evil Number Happy Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
403,274
Square (n²)
223,071,068,416
Cube (n³)
105,357,357,897,150,464
Divisor count
20
σ(n) — sum of divisors
1,046,064
φ(n) — Euler's totient
202,368
Sum of prime factors
4,232

Primality

Prime factorization: 2 4 × 7 × 4217

Nearest primes: 472,301 (−3) · 472,309 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 4217 · 8434 · 16868 · 29519 · 33736 · 59038 · 67472 · 118076 · 236152 (half) · 472304
Aliquot sum (sum of proper divisors): 573,760
Factor pairs (a × b = 472,304)
1 × 472304
2 × 236152
4 × 118076
7 × 67472
8 × 59038
14 × 33736
16 × 29519
28 × 16868
56 × 8434
112 × 4217
First multiples
472,304 · 944,608 (double) · 1,416,912 · 1,889,216 · 2,361,520 · 2,833,824 · 3,306,128 · 3,778,432 · 4,250,736 · 4,723,040

Sums & aliquot sequence

As consecutive integers: 67,469 + 67,470 + … + 67,475 14,744 + 14,745 + … + 14,775 1,997 + 1,998 + … + 2,220
Aliquot sequence: 472,304 573,760 925,856 896,986 453,158 248,602 124,304 131,260 144,428 108,328 113,432 118,768 129,480 293,880 627,720 1,255,800 3,743,880 — unresolved within range

Continued fraction of √n

√472,304 = [687; (4, 9, 1, 3, 1, 1, 1, 1, 9, 4, 1, 3, 1, 2, 2, 1, 3, 2, 2, 54, 1, 1, 3, 11, …)]

Representations

In words
four hundred seventy-two thousand three hundred four
Ordinal
472304th
Binary
1110011010011110000
Octal
1632360
Hexadecimal
0x734F0
Base64
BzTw
One's complement
4,294,494,991 (32-bit)
Scientific notation
4.72304 × 10⁵
As a duration
472,304 s = 5 days, 11 hours, 11 minutes, 44 seconds
In other bases
ternary (3) 212222212202
quaternary (4) 1303103300
quinary (5) 110103204
senary (6) 14042332
septenary (7) 4004660
nonary (9) 788782
undecimal (11) 2a2938
duodecimal (12) 1a93a8
tridecimal (13) 136c91
tetradecimal (14) c41a0
pentadecimal (15) 94e1e

As an angle

472,304° = 1,311 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοβτδʹ
Chinese
四十七萬二千三百零四
Chinese (financial)
肆拾柒萬貳仟參佰零肆
In other modern scripts
Eastern Arabic ٤٧٢٣٠٤ Devanagari ४७२३०४ Bengali ৪৭২৩০৪ Tamil ௪௭௨௩௦௪ Thai ๔๗๒๓๐๔ Tibetan ༤༧༢༣༠༤ Khmer ៤៧២៣០៤ Lao ໔໗໒໓໐໔ Burmese ၄၇၂၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472304, here are decompositions:

  • 3 + 472301 = 472304
  • 31 + 472273 = 472304
  • 43 + 472261 = 472304
  • 181 + 472123 = 472304
  • 193 + 472111 = 472304
  • 241 + 472063 = 472304
  • 277 + 472027 = 472304
  • 307 + 471997 = 472304

Showing the first eight; more decompositions exist.

Hex color
#0734F0
RGB(7, 52, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.240.

Address
0.7.52.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.52.240

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 472,304 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 472304 first appears in π at position 21,873 of the decimal expansion (the 21,873ordinal-suffix:rd 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°.