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473,360

473,360 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.).

473,360 (four hundred seventy-three thousand three hundred sixty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 61 × 97. Its proper divisors sum to 656,776, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73910.

Abundant Number Evil Number Gapful Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
63,374
Square (n²)
224,069,689,600
Cube (n³)
106,065,628,269,056,000
Divisor count
40
σ(n) — sum of divisors
1,130,136
φ(n) — Euler's totient
184,320
Sum of prime factors
171

Primality

Prime factorization: 2 4 × 5 × 61 × 97

Nearest primes: 473,353 (−7) · 473,377 (+17)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 61 · 80 · 97 · 122 · 194 · 244 · 305 · 388 · 485 · 488 · 610 · 776 · 970 · 976 · 1220 · 1552 · 1940 · 2440 · 3880 · 4880 · 5917 · 7760 · 11834 · 23668 · 29585 · 47336 · 59170 · 94672 · 118340 · 236680 (half) · 473360
Aliquot sum (sum of proper divisors): 656,776
Factor pairs (a × b = 473,360)
1 × 473360
2 × 236680
4 × 118340
5 × 94672
8 × 59170
10 × 47336
16 × 29585
20 × 23668
40 × 11834
61 × 7760
80 × 5917
97 × 4880
122 × 3880
194 × 2440
244 × 1940
305 × 1552
388 × 1220
485 × 976
488 × 970
610 × 776
First multiples
473,360 · 946,720 (double) · 1,420,080 · 1,893,440 · 2,366,800 · 2,840,160 · 3,313,520 · 3,786,880 · 4,260,240 · 4,733,600

Sums & aliquot sequence

As a sum of two squares: 4² + 688² = 128² + 676² = 416² + 548² = 464² + 508²
As consecutive integers: 94,670 + 94,671 + 94,672 + 94,673 + 94,674 14,777 + 14,778 + … + 14,808 7,730 + 7,731 + … + 7,790 4,832 + 4,833 + … + 4,928
Aliquot sequence: 473,360 656,776 598,724 598,780 1,009,988 1,046,458 747,494 497,962 248,984 217,876 163,414 81,710 65,386 32,696 30,544 31,952 29,986 — unresolved within range

Continued fraction of √n

√473,360 = [688; (86, 1376)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-three thousand three hundred sixty
Ordinal
473360th
Binary
1110011100100010000
Octal
1634420
Hexadecimal
0x73910
Base64
BzkQ
One's complement
4,294,493,935 (32-bit)
Scientific notation
4.7336 × 10⁵
As a duration
473,360 s = 5 days, 11 hours, 29 minutes, 20 seconds
In other bases
ternary (3) 220001022212
quaternary (4) 1303210100
quinary (5) 110121420
senary (6) 14051252
septenary (7) 4011026
nonary (9) 801285
undecimal (11) 2a3708
duodecimal (12) 1a9b28
tridecimal (13) 1375c4
tetradecimal (14) c4716
pentadecimal (15) 953c5

As an angle

473,360° = 1,314 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υογτξʹ
Chinese
四十七萬三千三百六十
Chinese (financial)
肆拾柒萬參仟參佰陸拾
In other modern scripts
Eastern Arabic ٤٧٣٣٦٠ Devanagari ४७३३६० Bengali ৪৭৩৩৬০ Tamil ௪௭௩௩௬௦ Thai ๔๗๓๓๖๐ Tibetan ༤༧༣༣༦༠ Khmer ៤៧៣៣៦០ Lao ໔໗໓໓໖໐ Burmese ၄၇၃၃၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473360, here are decompositions:

  • 7 + 473353 = 473360
  • 67 + 473293 = 473360
  • 73 + 473287 = 473360
  • 103 + 473257 = 473360
  • 157 + 473203 = 473360
  • 163 + 473197 = 473360
  • 193 + 473167 = 473360
  • 271 + 473089 = 473360

Showing the first eight; more decompositions exist.

Hex color
#073910
RGB(7, 57, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.57.16.

Address
0.7.57.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.57.16

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 473,360 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 473360 first appears in π at position 956,518 of the decimal expansion (the 956,518ordinal-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°.