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473,432

473,432 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.).

473,432 (four hundred seventy-three thousand four hundred thirty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 23 × 31 × 83. Its proper divisors sum to 494,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73958.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
2,016
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
234,374
Square (n²)
224,137,858,624
Cube (n³)
106,114,034,684,077,568
Divisor count
32
σ(n) — sum of divisors
967,680
φ(n) — Euler's totient
216,480
Sum of prime factors
143

Primality

Prime factorization: 2 3 × 23 × 31 × 83

Nearest primes: 473,419 (−13) · 473,441 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 23 · 31 · 46 · 62 · 83 · 92 · 124 · 166 · 184 · 248 · 332 · 664 · 713 · 1426 · 1909 · 2573 · 2852 · 3818 · 5146 · 5704 · 7636 · 10292 · 15272 · 20584 · 59179 · 118358 · 236716 (half) · 473432
Aliquot sum (sum of proper divisors): 494,248
Factor pairs (a × b = 473,432)
1 × 473432
2 × 236716
4 × 118358
8 × 59179
23 × 20584
31 × 15272
46 × 10292
62 × 7636
83 × 5704
92 × 5146
124 × 3818
166 × 2852
184 × 2573
248 × 1909
332 × 1426
664 × 713
First multiples
473,432 · 946,864 (double) · 1,420,296 · 1,893,728 · 2,367,160 · 2,840,592 · 3,314,024 · 3,787,456 · 4,260,888 · 4,734,320

Sums & aliquot sequence

As consecutive integers: 29,582 + 29,583 + … + 29,597 20,573 + 20,574 + … + 20,595 15,257 + 15,258 + … + 15,287 5,663 + 5,664 + … + 5,745
Aliquot sequence: 473,432 494,248 432,482 222,970 215,078 118,042 59,024 83,824 97,712 98,704 99,696 170,128 226,672 227,664 486,576 931,984 932,976 — unresolved within range

Continued fraction of √n

√473,432 = [688; (15, 1, 1, 1, 3, 11, 10, 33, 2, 6, 1, 1, 1, 3, 6, 4, 1, 1, 1, 1, 16, 1, 4, 3, …)]

Representations

In words
four hundred seventy-three thousand four hundred thirty-two
Ordinal
473432nd
Binary
1110011100101011000
Octal
1634530
Hexadecimal
0x73958
Base64
BzlY
One's complement
4,294,493,863 (32-bit)
Scientific notation
4.73432 × 10⁵
As a duration
473,432 s = 5 days, 11 hours, 30 minutes, 32 seconds
In other bases
ternary (3) 220001102112
quaternary (4) 1303211120
quinary (5) 110122212
senary (6) 14051452
septenary (7) 4011161
nonary (9) 801375
undecimal (11) 2a3773
duodecimal (12) 1a9b88
tridecimal (13) 13764b
tetradecimal (14) c4768
pentadecimal (15) 95422

As an angle

473,432° = 1,315 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υογυλβʹ
Chinese
四十七萬三千四百三十二
Chinese (financial)
肆拾柒萬參仟肆佰參拾貳
In other modern scripts
Eastern Arabic ٤٧٣٤٣٢ Devanagari ४७३४३२ Bengali ৪৭৩৪৩২ Tamil ௪௭௩௪௩௨ Thai ๔๗๓๔๓๒ Tibetan ༤༧༣༤༣༢ Khmer ៤៧៣៤៣២ Lao ໔໗໓໔໓໒ Burmese ၄၇၃၄၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473432, here are decompositions:

  • 13 + 473419 = 473432
  • 79 + 473353 = 473432
  • 139 + 473293 = 473432
  • 229 + 473203 = 473432
  • 241 + 473191 = 473432
  • 331 + 473101 = 473432
  • 439 + 472993 = 473432
  • 523 + 472909 = 473432

Showing the first eight; more decompositions exist.

Hex color
#073958
RGB(7, 57, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.57.88.

Address
0.7.57.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.57.88

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 473,432 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 473432 first appears in π at position 115,973 of the decimal expansion (the 115,973ordinal-suffix:rd 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°.