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471,424

471,424 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.).

471,424 (four hundred seventy-one thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 29 × 127. Its proper divisors sum to 507,776, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73180.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
896
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
424,174
Square (n²)
222,240,587,776
Cube (n³)
104,769,546,851,713,024
Divisor count
32
σ(n) — sum of divisors
979,200
φ(n) — Euler's totient
225,792
Sum of prime factors
170

Primality

Prime factorization: 2 7 × 29 × 127

Nearest primes: 471,407 (−17) · 471,439 (+15)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 16 · 29 · 32 · 58 · 64 · 116 · 127 · 128 · 232 · 254 · 464 · 508 · 928 · 1016 · 1856 · 2032 · 3683 · 3712 · 4064 · 7366 · 8128 · 14732 · 16256 · 29464 · 58928 · 117856 · 235712 (half) · 471424
Aliquot sum (sum of proper divisors): 507,776
Factor pairs (a × b = 471,424)
1 × 471424
2 × 235712
4 × 117856
8 × 58928
16 × 29464
29 × 16256
32 × 14732
58 × 8128
64 × 7366
116 × 4064
127 × 3712
128 × 3683
232 × 2032
254 × 1856
464 × 1016
508 × 928
First multiples
471,424 · 942,848 (double) · 1,414,272 · 1,885,696 · 2,357,120 · 2,828,544 · 3,299,968 · 3,771,392 · 4,242,816 · 4,714,240

Sums & aliquot sequence

As consecutive integers: 16,242 + 16,243 + … + 16,270 3,649 + 3,650 + … + 3,775 1,714 + 1,715 + … + 1,969
Aliquot sequence: 471,424 507,776 504,064 599,696 594,796 507,452 513,988 432,972 754,228 575,184 978,288 1,588,512 2,581,584 4,087,632 6,472,208 6,067,726 4,882,034 — unresolved within range

Continued fraction of √n

√471,424 = [686; (1, 1, 1, 1, 11, 1, 3, 2, 1, 2, 3, 4, 1, 7, 1, 2, 1, 1, 4, 1, 7, 38, 59, 1, …)]

Representations

In words
four hundred seventy-one thousand four hundred twenty-four
Ordinal
471424th
Binary
1110011000110000000
Octal
1630600
Hexadecimal
0x73180
Base64
BzGA
One's complement
4,294,495,871 (32-bit)
Scientific notation
4.71424 × 10⁵
As a duration
471,424 s = 5 days, 10 hours, 57 minutes, 4 seconds
In other bases
ternary (3) 212221200011
quaternary (4) 1303012000
quinary (5) 110041144
senary (6) 14034304
septenary (7) 4002262
nonary (9) 787604
undecimal (11) 2a2208
duodecimal (12) 1a8994
tridecimal (13) 136765
tetradecimal (14) c3b32
pentadecimal (15) 94a34

As an angle

471,424° = 1,309 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοαυκδʹ
Chinese
四十七萬一千四百二十四
Chinese (financial)
肆拾柒萬壹仟肆佰貳拾肆
In other modern scripts
Eastern Arabic ٤٧١٤٢٤ Devanagari ४७१४२४ Bengali ৪৭১৪২৪ Tamil ௪௭௧௪௨௪ Thai ๔๗๑๔๒๔ Tibetan ༤༧༡༤༢༤ Khmer ៤៧១៤២៤ Lao ໔໗໑໔໒໔ Burmese ၄၇၁၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471424, here are decompositions:

  • 17 + 471407 = 471424
  • 71 + 471353 = 471424
  • 251 + 471173 = 471424
  • 263 + 471161 = 471424
  • 383 + 471041 = 471424
  • 431 + 470993 = 471424
  • 467 + 470957 = 471424
  • 491 + 470933 = 471424

Showing the first eight; more decompositions exist.

Hex color
#073180
RGB(7, 49, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.49.128.

Address
0.7.49.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.49.128

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 471,424 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.