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473,204

473,204 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.).

473,204 (four hundred seventy-three thousand two hundred four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 281 × 421. Written other ways, in hexadecimal, 0x73874.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
402,374
Square (n²)
223,922,025,616
Cube (n³)
105,960,798,209,593,664
Divisor count
12
σ(n) — sum of divisors
833,028
φ(n) — Euler's totient
235,200
Sum of prime factors
706

Primality

Prime factorization: 2 2 × 281 × 421

Nearest primes: 473,203 (−1) · 473,219 (+15)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 281 · 421 · 562 · 842 · 1124 · 1684 · 118301 · 236602 (half) · 473204
Aliquot sum (sum of proper divisors): 359,824
Factor pairs (a × b = 473,204)
1 × 473204
2 × 236602
4 × 118301
281 × 1684
421 × 1124
562 × 842
First multiples
473,204 · 946,408 (double) · 1,419,612 · 1,892,816 · 2,366,020 · 2,839,224 · 3,312,428 · 3,785,632 · 4,258,836 · 4,732,040

Sums & aliquot sequence

As a sum of two squares: 298² + 620² = 340² + 598²
As consecutive integers: 59,147 + 59,148 + … + 59,154 1,544 + 1,545 + … + 1,824 914 + 915 + … + 1,334
Aliquot sequence: 473,204 359,824 354,912 576,984 917,016 1,497,384 3,138,936 4,963,464 10,084,536 26,307,144 44,941,566 45,832,722 52,884,078 64,699,794 75,483,132 104,941,140 206,651,820 — unresolved within range

Continued fraction of √n

√473,204 = [687; (1, 8, 1, 4, 1, 4, 4, 2, 1, 1, 6, 2, 2, 1, 38, 1, 1, 2, 13, 2, 1, 3, 1, 1, …)]

Representations

In words
four hundred seventy-three thousand two hundred four
Ordinal
473204th
Binary
1110011100001110100
Octal
1634164
Hexadecimal
0x73874
Base64
Bzh0
One's complement
4,294,494,091 (32-bit)
Scientific notation
4.73204 × 10⁵
As a duration
473,204 s = 5 days, 11 hours, 26 minutes, 44 seconds
In other bases
ternary (3) 220001010002
quaternary (4) 1303201310
quinary (5) 110120304
senary (6) 14050432
septenary (7) 4010414
nonary (9) 801102
undecimal (11) 2a3586
duodecimal (12) 1a9a18
tridecimal (13) 137504
tetradecimal (14) c4644
pentadecimal (15) 9531e

As an angle

473,204° = 1,314 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υογσδʹ
Chinese
四十七萬三千二百零四
Chinese (financial)
肆拾柒萬參仟貳佰零肆
In other modern scripts
Eastern Arabic ٤٧٣٢٠٤ Devanagari ४७३२०४ Bengali ৪৭৩২০৪ Tamil ௪௭௩௨௦௪ Thai ๔๗๓๒๐๔ Tibetan ༤༧༣༢༠༤ Khmer ៤៧៣២០៤ Lao ໔໗໓໒໐໔ Burmese ၄၇၃၂၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473204, here are decompositions:

  • 3 + 473201 = 473204
  • 7 + 473197 = 473204
  • 13 + 473191 = 473204
  • 31 + 473173 = 473204
  • 37 + 473167 = 473204
  • 103 + 473101 = 473204
  • 211 + 472993 = 473204
  • 241 + 472963 = 473204

Showing the first eight; more decompositions exist.

Hex color
#073874
RGB(7, 56, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.56.116.

Address
0.7.56.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.56.116

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 473,204 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 473204 first appears in π at position 82,023 of the decimal expansion (the 82,023ordinal-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°.