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473,052

473,052 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.).

473,052 (four hundred seventy-three thousand fifty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 79 × 499. Its proper divisors sum to 646,948, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x737DC.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
250,374
Square (n²)
223,778,194,704
Cube (n³)
105,858,722,561,116,608
Divisor count
24
σ(n) — sum of divisors
1,120,000
φ(n) — Euler's totient
155,376
Sum of prime factors
585

Primality

Prime factorization: 2 2 × 3 × 79 × 499

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

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 79 · 158 · 237 · 316 · 474 · 499 · 948 · 998 · 1497 · 1996 · 2994 · 5988 · 39421 · 78842 · 118263 · 157684 · 236526 (half) · 473052
Aliquot sum (sum of proper divisors): 646,948
Factor pairs (a × b = 473,052)
1 × 473052
2 × 236526
3 × 157684
4 × 118263
6 × 78842
12 × 39421
79 × 5988
158 × 2994
237 × 1996
316 × 1497
474 × 998
499 × 948
First multiples
473,052 · 946,104 (double) · 1,419,156 · 1,892,208 · 2,365,260 · 2,838,312 · 3,311,364 · 3,784,416 · 4,257,468 · 4,730,520

Sums & aliquot sequence

As consecutive integers: 157,683 + 157,684 + 157,685 59,128 + 59,129 + … + 59,135 19,699 + 19,700 + … + 19,722 5,949 + 5,950 + … + 6,027
Aliquot sequence: 473,052 646,948 492,344 430,816 417,416 365,254 182,630 193,210 157,088 152,242 78,014 45,226 22,616 23,824 22,366 11,978 6,490 — unresolved within range

Continued fraction of √n

√473,052 = [687; (1, 3, 1, 2, 2, 7, 5, 1, 2, 3, 1, 2, 1, 2, 3, 1, 1, 1, 2, 1, 1, 1, 4, 4, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-three thousand fifty-two
Ordinal
473052nd
Binary
1110011011111011100
Octal
1633734
Hexadecimal
0x737DC
Base64
Bzfc
One's complement
4,294,494,243 (32-bit)
Scientific notation
4.73052 × 10⁵
As a duration
473,052 s = 5 days, 11 hours, 24 minutes, 12 seconds
In other bases
ternary (3) 220000220110
quaternary (4) 1303133130
quinary (5) 110114202
senary (6) 14050020
septenary (7) 4010106
nonary (9) 800813
undecimal (11) 2a3458
duodecimal (12) 1a9910
tridecimal (13) 137418
tetradecimal (14) c4576
pentadecimal (15) 9526c

As an angle

473,052° = 1,314 × 360° + 12°
12° ≈ 0.209 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υογνβʹ
Chinese
四十七萬三千零五十二
Chinese (financial)
肆拾柒萬參仟零伍拾貳
In other modern scripts
Eastern Arabic ٤٧٣٠٥٢ Devanagari ४७३०५२ Bengali ৪৭৩০৫২ Tamil ௪௭௩௦௫௨ Thai ๔๗๓๐๕๒ Tibetan ༤༧༣༠༥༢ Khmer ៤៧៣០៥២ Lao ໔໗໓໐໕໒ Burmese ၄၇၃၀၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473052, here are decompositions:

  • 31 + 473021 = 473052
  • 43 + 473009 = 473052
  • 59 + 472993 = 473052
  • 89 + 472963 = 473052
  • 113 + 472939 = 473052
  • 131 + 472921 = 473052
  • 193 + 472859 = 473052
  • 311 + 472741 = 473052

Showing the first eight; more decompositions exist.

Hex color
#0737DC
RGB(7, 55, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.220.

Address
0.7.55.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.55.220

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 473,052 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 473052 first appears in π at position 169,496 of the decimal expansion (the 169,496ordinal-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°.