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471,104

471,104 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.).

471,104 (four hundred seventy-one thousand one hundred four) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 17 × 433. Its proper divisors sum to 521,020, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73040.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
401,174
Square (n²)
221,938,978,816
Cube (n³)
104,556,340,676,132,864
Divisor count
28
σ(n) — sum of divisors
992,124
φ(n) — Euler's totient
221,184
Sum of prime factors
462

Primality

Prime factorization: 2 6 × 17 × 433

Nearest primes: 471,101 (−3) · 471,137 (+33)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 16 · 17 · 32 · 34 · 64 · 68 · 136 · 272 · 433 · 544 · 866 · 1088 · 1732 · 3464 · 6928 · 7361 · 13856 · 14722 · 27712 · 29444 · 58888 · 117776 · 235552 (half) · 471104
Aliquot sum (sum of proper divisors): 521,020
Factor pairs (a × b = 471,104)
1 × 471104
2 × 235552
4 × 117776
8 × 58888
16 × 29444
17 × 27712
32 × 14722
34 × 13856
64 × 7361
68 × 6928
136 × 3464
272 × 1732
433 × 1088
544 × 866
First multiples
471,104 · 942,208 (double) · 1,413,312 · 1,884,416 · 2,355,520 · 2,826,624 · 3,297,728 · 3,768,832 · 4,239,936 · 4,711,040

Sums & aliquot sequence

As a sum of two squares: 248² + 640² = 448² + 520²
As consecutive integers: 27,704 + 27,705 + … + 27,720 3,617 + 3,618 + … + 3,744 872 + 873 + … + 1,304
Aliquot sequence: 471,104 521,020 587,780 646,600 910,220 1,031,188 773,398 540,530 440,974 243,386 216,262 108,134 66,586 42,116 31,594 15,800 21,400 — unresolved within range

Continued fraction of √n

√471,104 = [686; (2, 1, 2, 2, 1, 5, 1, 8, 1, 1, 1, 1, 1, 1, 5, 1, 1, 5, 1, 3, 1, 1, 1, 7, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-one thousand one hundred four
Ordinal
471104th
Binary
1110011000001000000
Octal
1630100
Hexadecimal
0x73040
Base64
BzBA
One's complement
4,294,496,191 (32-bit)
Scientific notation
4.71104 × 10⁵
As a duration
471,104 s = 5 days, 10 hours, 51 minutes, 44 seconds
In other bases
ternary (3) 212221020022
quaternary (4) 1303001000
quinary (5) 110033404
senary (6) 14033012
septenary (7) 4001324
nonary (9) 787208
undecimal (11) 2a1a47
duodecimal (12) 1a8768
tridecimal (13) 13657a
tetradecimal (14) c3984
pentadecimal (15) 948be

As an angle

471,104° = 1,308 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοαρδʹ
Chinese
四十七萬一千一百零四
Chinese (financial)
肆拾柒萬壹仟壹佰零肆
In other modern scripts
Eastern Arabic ٤٧١١٠٤ Devanagari ४७११०४ Bengali ৪৭১১০৪ Tamil ௪௭௧௧௦௪ Thai ๔๗๑๑๐๔ Tibetan ༤༧༡༡༠༤ Khmer ៤៧១១០៤ Lao ໔໗໑໑໐໔ Burmese ၄၇၁၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471104, here are decompositions:

  • 3 + 471101 = 471104
  • 13 + 471091 = 471104
  • 31 + 471073 = 471104
  • 43 + 471061 = 471104
  • 97 + 471007 = 471104
  • 157 + 470947 = 471104
  • 163 + 470941 = 471104
  • 223 + 470881 = 471104

Showing the first eight; more decompositions exist.

Hex color
#073040
RGB(7, 48, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.48.64.

Address
0.7.48.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.48.64

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 471,104 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 471104 first appears in π at position 747,441 of the decimal expansion (the 747,441ordinal-suffix:st 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°.