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473,712

473,712 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.).

473,712 (four hundred seventy-three thousand seven hundred twelve) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 71 × 139. Its proper divisors sum to 776,208, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73A70.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,176
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
217,374
Square (n²)
224,403,058,944
Cube (n³)
106,302,421,858,480,128
Divisor count
40
σ(n) — sum of divisors
1,249,920
φ(n) — Euler's totient
154,560
Sum of prime factors
221

Primality

Prime factorization: 2 4 × 3 × 71 × 139

Nearest primes: 473,659 (−53) · 473,719 (+7)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 71 · 139 · 142 · 213 · 278 · 284 · 417 · 426 · 556 · 568 · 834 · 852 · 1112 · 1136 · 1668 · 1704 · 2224 · 3336 · 3408 · 6672 · 9869 · 19738 · 29607 · 39476 · 59214 · 78952 · 118428 · 157904 · 236856 (half) · 473712
Aliquot sum (sum of proper divisors): 776,208
Factor pairs (a × b = 473,712)
1 × 473712
2 × 236856
3 × 157904
4 × 118428
6 × 78952
8 × 59214
12 × 39476
16 × 29607
24 × 19738
48 × 9869
71 × 6672
139 × 3408
142 × 3336
213 × 2224
278 × 1704
284 × 1668
417 × 1136
426 × 1112
556 × 852
568 × 834
First multiples
473,712 · 947,424 (double) · 1,421,136 · 1,894,848 · 2,368,560 · 2,842,272 · 3,315,984 · 3,789,696 · 4,263,408 · 4,737,120

Sums & aliquot sequence

As consecutive integers: 157,903 + 157,904 + 157,905 14,788 + 14,789 + … + 14,819 6,637 + 6,638 + … + 6,707 4,887 + 4,888 + … + 4,982
Aliquot sequence: 473,712 776,208 1,261,360 1,671,488 2,585,044 3,252,326 2,968,474 1,484,240 1,966,804 2,174,956 2,209,844 2,586,220 4,469,780 6,451,648 8,180,784 16,148,016 29,044,404 — unresolved within range

Continued fraction of √n

√473,712 = [688; (3, 1, 2, 1, 5, 2, 2, 2, 1, 23, 2, 3, 1, 9, 1, 8, 2, 1, 1, 5, 1, 2, 1, 27, …)]

Representations

In words
four hundred seventy-three thousand seven hundred twelve
Ordinal
473712th
Binary
1110011101001110000
Octal
1635160
Hexadecimal
0x73A70
Base64
Bzpw
One's complement
4,294,493,583 (32-bit)
Scientific notation
4.73712 × 10⁵
As a duration
473,712 s = 5 days, 11 hours, 35 minutes, 12 seconds
In other bases
ternary (3) 220001210220
quaternary (4) 1303221300
quinary (5) 110124322
senary (6) 14053040
septenary (7) 4012041
nonary (9) 801726
undecimal (11) 2a39a8
duodecimal (12) 1aa180
tridecimal (13) 137805
tetradecimal (14) c48c8
pentadecimal (15) 9555c

As an angle

473,712° = 1,315 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵υογψιβʹ
Chinese
四十七萬三千七百一十二
Chinese (financial)
肆拾柒萬參仟柒佰壹拾貳
In other modern scripts
Eastern Arabic ٤٧٣٧١٢ Devanagari ४७३७१२ Bengali ৪৭৩৭১২ Tamil ௪௭௩௭௧௨ Thai ๔๗๓๗๑๒ Tibetan ༤༧༣༧༡༢ Khmer ៤៧៣៧១២ Lao ໔໗໓໗໑໒ Burmese ၄၇၃၇၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473712, here are decompositions:

  • 53 + 473659 = 473712
  • 79 + 473633 = 473712
  • 101 + 473611 = 473712
  • 163 + 473549 = 473712
  • 179 + 473533 = 473712
  • 181 + 473531 = 473712
  • 193 + 473519 = 473712
  • 199 + 473513 = 473712

Showing the first eight; more decompositions exist.

Hex color
#073A70
RGB(7, 58, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.58.112.

Address
0.7.58.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.58.112

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 473,712 and was likely granted around 1891.

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

Related reading

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