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473,020

473,020 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.).

473,020 (four hundred seventy-three thousand twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 67 × 353. Its proper divisors sum to 538,004, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x737BC.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
20,374
Square (n²)
223,747,920,400
Cube (n³)
105,837,241,307,608,000
Divisor count
24
σ(n) — sum of divisors
1,011,024
φ(n) — Euler's totient
185,856
Sum of prime factors
429

Primality

Prime factorization: 2 2 × 5 × 67 × 353

Nearest primes: 473,009 (−11) · 473,021 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 67 · 134 · 268 · 335 · 353 · 670 · 706 · 1340 · 1412 · 1765 · 3530 · 7060 · 23651 · 47302 · 94604 · 118255 · 236510 (half) · 473020
Aliquot sum (sum of proper divisors): 538,004
Factor pairs (a × b = 473,020)
1 × 473020
2 × 236510
4 × 118255
5 × 94604
10 × 47302
20 × 23651
67 × 7060
134 × 3530
268 × 1765
335 × 1412
353 × 1340
670 × 706
First multiples
473,020 · 946,040 (double) · 1,419,060 · 1,892,080 · 2,365,100 · 2,838,120 · 3,311,140 · 3,784,160 · 4,257,180 · 4,730,200

Sums & aliquot sequence

As consecutive integers: 94,602 + 94,603 + 94,604 + 94,605 + 94,606 59,124 + 59,125 + … + 59,131 11,806 + 11,807 + … + 11,845 7,027 + 7,028 + … + 7,093
Aliquot sequence: 473,020 538,004 453,196 346,652 268,228 201,178 126,926 63,466 39,098 20,410 19,406 10,738 9,422 6,754 4,334 2,794 1,814 — unresolved within range

Continued fraction of √n

√473,020 = [687; (1, 3, 4, 16, 7, 7, 7, 2, 1, 46, 1, 3, 124, 1, 3, 1, 11, 1, 1, 2, 4, 1, 10, 1, …)]

Representations

In words
four hundred seventy-three thousand twenty
Ordinal
473020th
Binary
1110011011110111100
Octal
1633674
Hexadecimal
0x737BC
Base64
Bze8
One's complement
4,294,494,275 (32-bit)
Scientific notation
4.7302 × 10⁵
As a duration
473,020 s = 5 days, 11 hours, 23 minutes, 40 seconds
In other bases
ternary (3) 220000212021
quaternary (4) 1303132330
quinary (5) 110114040
senary (6) 14045524
septenary (7) 4010032
nonary (9) 800767
undecimal (11) 2a3429
duodecimal (12) 1a98a4
tridecimal (13) 1373c2
tetradecimal (14) c4552
pentadecimal (15) 9524a

As an angle

473,020° = 1,313 × 360° + 340°
340° ≈ 5.934 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆
Greek (Milesian)
͵υογκʹ
Chinese
四十七萬三千零二十
Chinese (financial)
肆拾柒萬參仟零貳拾
In other modern scripts
Eastern Arabic ٤٧٣٠٢٠ Devanagari ४७३०२० Bengali ৪৭৩০২০ Tamil ௪௭௩௦௨௦ Thai ๔๗๓๐๒๐ Tibetan ༤༧༣༠༢༠ Khmer ៤៧៣០២០ Lao ໔໗໓໐໒໐ Burmese ၄၇၃၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473020, here are decompositions:

  • 11 + 473009 = 473020
  • 83 + 472937 = 473020
  • 113 + 472907 = 473020
  • 137 + 472883 = 473020
  • 173 + 472847 = 473020
  • 227 + 472793 = 473020
  • 257 + 472763 = 473020
  • 269 + 472751 = 473020

Showing the first eight; more decompositions exist.

Hex color
#0737BC
RGB(7, 55, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.188.

Address
0.7.55.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.55.188

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 473,020 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 473020 first appears in π at position 917,228 of the decimal expansion (the 917,228ordinal-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°.