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473,064

473,064 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.).

473,064 (four hundred seventy-three thousand sixty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 23 × 857. Its proper divisors sum to 762,456, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x737E8.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
460,374
Square (n²)
223,789,548,096
Cube (n³)
105,866,778,780,486,144
Divisor count
32
σ(n) — sum of divisors
1,235,520
φ(n) — Euler's totient
150,656
Sum of prime factors
889

Primality

Prime factorization: 2 3 × 3 × 23 × 857

Nearest primes: 473,027 (−37) · 473,089 (+25)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 23 · 24 · 46 · 69 · 92 · 138 · 184 · 276 · 552 · 857 · 1714 · 2571 · 3428 · 5142 · 6856 · 10284 · 19711 · 20568 · 39422 · 59133 · 78844 · 118266 · 157688 · 236532 (half) · 473064
Aliquot sum (sum of proper divisors): 762,456
Factor pairs (a × b = 473,064)
1 × 473064
2 × 236532
3 × 157688
4 × 118266
6 × 78844
8 × 59133
12 × 39422
23 × 20568
24 × 19711
46 × 10284
69 × 6856
92 × 5142
138 × 3428
184 × 2571
276 × 1714
552 × 857
First multiples
473,064 · 946,128 (double) · 1,419,192 · 1,892,256 · 2,365,320 · 2,838,384 · 3,311,448 · 3,784,512 · 4,257,576 · 4,730,640

Sums & aliquot sequence

As consecutive integers: 157,687 + 157,688 + 157,689 29,559 + 29,560 + … + 29,574 20,557 + 20,558 + … + 20,579 9,832 + 9,833 + … + 9,879
Aliquot sequence: 473,064 762,456 1,143,744 2,562,624 4,976,096 5,248,048 6,188,720 8,200,240 10,865,504 12,172,336 15,825,872 15,826,864 17,706,704 18,957,616 20,020,048 20,421,808 26,718,032 — unresolved within range

Continued fraction of √n

√473,064 = [687; (1, 3, 1, 10, 1, 1, 3, 6, 1, 5, 2, 1, 1, 3, 2, 1, 1, 5, 1, 1, 1, 27, 2, 2, …)]

Representations

In words
four hundred seventy-three thousand sixty-four
Ordinal
473064th
Binary
1110011011111101000
Octal
1633750
Hexadecimal
0x737E8
Base64
Bzfo
One's complement
4,294,494,231 (32-bit)
Scientific notation
4.73064 × 10⁵
As a duration
473,064 s = 5 days, 11 hours, 24 minutes, 24 seconds
In other bases
ternary (3) 220000220220
quaternary (4) 1303133220
quinary (5) 110114224
senary (6) 14050040
septenary (7) 4010124
nonary (9) 800826
undecimal (11) 2a3469
duodecimal (12) 1a9920
tridecimal (13) 137427
tetradecimal (14) c4584
pentadecimal (15) 95279

As an angle

473,064° = 1,314 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υογξδʹ
Chinese
四十七萬三千零六十四
Chinese (financial)
肆拾柒萬參仟零陸拾肆
In other modern scripts
Eastern Arabic ٤٧٣٠٦٤ Devanagari ४७३०६४ Bengali ৪৭৩০৬৪ Tamil ௪௭௩௦௬௪ Thai ๔๗๓๐๖๔ Tibetan ༤༧༣༠༦༤ Khmer ៤៧៣០៦៤ Lao ໔໗໓໐໖໔ Burmese ၄၇၃၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473064, here are decompositions:

  • 37 + 473027 = 473064
  • 43 + 473021 = 473064
  • 71 + 472993 = 473064
  • 101 + 472963 = 473064
  • 127 + 472937 = 473064
  • 157 + 472907 = 473064
  • 181 + 472883 = 473064
  • 227 + 472837 = 473064

Showing the first eight; more decompositions exist.

Hex color
#0737E8
RGB(7, 55, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.232.

Address
0.7.55.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.55.232

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 473,064 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 473064 first appears in π at position 826,052 of the decimal expansion (the 826,052ordinal-suffix:nd 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°.