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472,804

472,804 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.).

472,804 (four hundred seventy-two thousand eight hundred four) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 17² × 409. Written other ways, in hexadecimal, 0x736E4.

Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
408,274
Square (n²)
223,543,622,416
Cube (n³)
105,692,318,852,774,464
Divisor count
18
σ(n) — sum of divisors
881,090
φ(n) — Euler's totient
221,952
Sum of prime factors
447

Primality

Prime factorization: 2 2 × 17 2 × 409

Nearest primes: 472,799 (−5) · 472,817 (+13)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 17 · 34 · 68 · 289 · 409 · 578 · 818 · 1156 · 1636 · 6953 · 13906 · 27812 · 118201 · 236402 (half) · 472804
Aliquot sum (sum of proper divisors): 408,286
Factor pairs (a × b = 472,804)
1 × 472804
2 × 236402
4 × 118201
17 × 27812
34 × 13906
68 × 6953
289 × 1636
409 × 1156
578 × 818
First multiples
472,804 · 945,608 (double) · 1,418,412 · 1,891,216 · 2,364,020 · 2,836,824 · 3,309,628 · 3,782,432 · 4,255,236 · 4,728,040

Sums & aliquot sequence

As a sum of two squares: 102² + 680² = 230² + 648² = 410² + 552²
As consecutive integers: 59,097 + 59,098 + … + 59,104 27,804 + 27,805 + … + 27,820 3,409 + 3,410 + … + 3,544 1,492 + 1,493 + … + 1,780
Aliquot sequence: 472,804 408,286 204,146 105,358 67,082 39,514 22,406 13,234 8,186 4,096 4,095 4,641 3,423 1,825 469 75 49 — unresolved within range

Continued fraction of √n

√472,804 = [687; (1, 1, 1, 1, 4, 1, 3, 2, 1, 1, 1, 1, 11, 2, 1, 9, 2, 1, 3, 5, 9, 1, 342, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-two thousand eight hundred four
Ordinal
472804th
Binary
1110011011011100100
Octal
1633344
Hexadecimal
0x736E4
Base64
Bzbk
One's complement
4,294,494,491 (32-bit)
Scientific notation
4.72804 × 10⁵
As a duration
472,804 s = 5 days, 11 hours, 20 minutes, 4 seconds
In other bases
ternary (3) 220000120021
quaternary (4) 1303123210
quinary (5) 110112204
senary (6) 14044524
septenary (7) 4006303
nonary (9) 800507
undecimal (11) 2a3252
duodecimal (12) 1a9744
tridecimal (13) 137287
tetradecimal (14) c443a
pentadecimal (15) 95154

As an angle

472,804° = 1,313 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοβωδʹ
Chinese
四十七萬二千八百零四
Chinese (financial)
肆拾柒萬貳仟捌佰零肆
In other modern scripts
Eastern Arabic ٤٧٢٨٠٤ Devanagari ४७२८०४ Bengali ৪৭২৮০৪ Tamil ௪௭௨௮௦௪ Thai ๔๗๒๘๐๔ Tibetan ༤༧༢༨༠༤ Khmer ៤៧២៨០៤ Lao ໔໗໒໘໐໔ Burmese ၄၇၂၈၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472804, here are decompositions:

  • 5 + 472799 = 472804
  • 11 + 472793 = 472804
  • 41 + 472763 = 472804
  • 53 + 472751 = 472804
  • 83 + 472721 = 472804
  • 107 + 472697 = 472804
  • 113 + 472691 = 472804
  • 173 + 472631 = 472804

Showing the first eight; more decompositions exist.

Hex color
#0736E4
RGB(7, 54, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.228.

Address
0.7.54.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.54.228

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 472,804 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 472804 first appears in π at position 596,518 of the decimal expansion (the 596,518ordinal-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°.