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466,704

466,704 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.).

466,704 (four hundred sixty-six thousand seven hundred four) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 7 × 463. Its proper divisors sum to 1,029,232, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71F10.

Abundant Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
407,664
Square (n²)
217,812,623,616
Cube (n³)
101,654,022,692,081,664
Divisor count
60
σ(n) — sum of divisors
1,495,936
φ(n) — Euler's totient
133,056
Sum of prime factors
484

Primality

Prime factorization: 2 4 × 3 2 × 7 × 463

Nearest primes: 466,673 (−31) · 466,717 (+13)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 28 · 36 · 42 · 48 · 56 · 63 · 72 · 84 · 112 · 126 · 144 · 168 · 252 · 336 · 463 · 504 · 926 · 1008 · 1389 · 1852 · 2778 · 3241 · 3704 · 4167 · 5556 · 6482 · 7408 · 8334 · 9723 · 11112 · 12964 · 16668 · 19446 · 22224 · 25928 · 29169 · 33336 · 38892 · 51856 · 58338 · 66672 · 77784 · 116676 · 155568 · 233352 (half) · 466704
Aliquot sum (sum of proper divisors): 1,029,232
Factor pairs (a × b = 466,704)
1 × 466704
2 × 233352
3 × 155568
4 × 116676
6 × 77784
7 × 66672
8 × 58338
9 × 51856
12 × 38892
14 × 33336
16 × 29169
18 × 25928
21 × 22224
24 × 19446
28 × 16668
36 × 12964
42 × 11112
48 × 9723
56 × 8334
63 × 7408
72 × 6482
84 × 5556
112 × 4167
126 × 3704
144 × 3241
168 × 2778
252 × 1852
336 × 1389
463 × 1008
504 × 926
First multiples
466,704 · 933,408 (double) · 1,400,112 · 1,866,816 · 2,333,520 · 2,800,224 · 3,266,928 · 3,733,632 · 4,200,336 · 4,667,040

Sums & aliquot sequence

As consecutive integers: 155,567 + 155,568 + 155,569 66,669 + 66,670 + … + 66,675 51,852 + 51,853 + … + 51,860 22,214 + 22,215 + … + 22,234
Aliquot sequence: 466,704 → 1,029,232 → 964,936 → 1,102,904 → 1,195,336 → 1,045,934 → 533,434 → 339,494 → 172,906 → 86,456 → 78,784 → 77,680 → 103,112 → 90,238 → 45,122 → 39,550 → 45,266 — unresolved within range

Continued fraction of √n

√466,704 = [683; (6, 2, 1, 4, 1, 1, 1, 7, 2, 3, 1, 1, 2, 2, 3, 1, 1, 1, 16, 2, 3, 1, 1, 1, …)]

Representations

In words
four hundred sixty-six thousand seven hundred four
Ordinal
466704th
Binary
1110001111100010000
Octal
1617420
Hexadecimal
0x71F10
Base64
Bx8Q
One's complement
4,294,500,591 (32-bit)
Scientific notation
4.66704 × 10⁵
As a duration
466,704 s = 5 days, 9 hours, 38 minutes, 24 seconds
In other bases
ternary (3) 212201012100
quaternary (4) 1301330100
quinary (5) 104413304
senary (6) 14000400
septenary (7) 3652440
nonary (9) 781170
undecimal (11) 299707
duodecimal (12) 1a6100
tridecimal (13) 134574
tetradecimal (14) c2120
pentadecimal (15) 93439
Palindromic in base 15

As an angle

466,704° = 1,296 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξϛψδʹ
Chinese
四十六萬六千七百零四
Chinese (financial)
肆拾陸萬陸仟柒佰零肆
In other modern scripts
Eastern Arabic ٤٦٦٧٠٤ Devanagari ४६६७०४ Bengali ৪৬৬৭০৪ Tamil ௪௬௬௭௦௪ Thai ๔๖๖๗๐๔ Tibetan ༤༦༦༧༠༤ Khmer ៤៦៦៧០៤ Lao ໔໖໖໗໐໔ Burmese ၄၆၆၇၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 466704, here are decompositions:

  • 31 + 466673 = 466704
  • 53 + 466651 = 466704
  • 67 + 466637 = 466704
  • 101 + 466603 = 466704
  • 131 + 466573 = 466704
  • 137 + 466567 = 466704
  • 151 + 466553 = 466704
  • 157 + 466547 = 466704

Showing the first eight; more decompositions exist.

Hex color
#071F10
RGB(7, 31, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.31.16.

Address
0.7.31.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.31.16

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 466,704 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°.