number.wiki
Live analysis

471,324

471,324 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.).

471,324 (four hundred seventy-one thousand three hundred twenty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 31 × 181. Its proper divisors sum to 833,252, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7311C.

Abundant Number Cube-Free Harshad / Niven Odious Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
672
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
423,174
Square (n²)
222,146,312,976
Cube (n³)
104,702,888,817,100,224
Divisor count
48
σ(n) — sum of divisors
1,304,576
φ(n) — Euler's totient
129,600
Sum of prime factors
226

Primality

Prime factorization: 2 2 × 3 × 7 × 31 × 181

Nearest primes: 471,313 (−11) · 471,353 (+29)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 31 · 42 · 62 · 84 · 93 · 124 · 181 · 186 · 217 · 362 · 372 · 434 · 543 · 651 · 724 · 868 · 1086 · 1267 · 1302 · 2172 · 2534 · 2604 · 3801 · 5068 · 5611 · 7602 · 11222 · 15204 · 16833 · 22444 · 33666 · 39277 · 67332 · 78554 · 117831 · 157108 · 235662 (half) · 471324
Aliquot sum (sum of proper divisors): 833,252
Factor pairs (a × b = 471,324)
1 × 471324
2 × 235662
3 × 157108
4 × 117831
6 × 78554
7 × 67332
12 × 39277
14 × 33666
21 × 22444
28 × 16833
31 × 15204
42 × 11222
62 × 7602
84 × 5611
93 × 5068
124 × 3801
181 × 2604
186 × 2534
217 × 2172
362 × 1302
372 × 1267
434 × 1086
543 × 868
651 × 724
First multiples
471,324 · 942,648 (double) · 1,413,972 · 1,885,296 · 2,356,620 · 2,827,944 · 3,299,268 · 3,770,592 · 4,241,916 · 4,713,240

Sums & aliquot sequence

As consecutive integers: 157,107 + 157,108 + 157,109 67,329 + 67,330 + … + 67,335 58,912 + 58,913 + … + 58,919 22,434 + 22,435 + … + 22,454
Aliquot sequence: 471,324 833,252 833,308 833,364 1,574,860 2,274,692 2,274,748 2,315,684 2,350,684 2,479,876 2,641,660 3,698,660 5,494,300 8,504,804 10,437,532 10,437,588 21,078,624 — unresolved within range

Continued fraction of √n

√471,324 = [686; (1, 1, 7, 1, 2, 1, 1, 2, 5, 1, 456, 1, 5, 2, 1, 1, 2, 1, 7, 1, 1, 1372)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-one thousand three hundred twenty-four
Ordinal
471324th
Binary
1110011000100011100
Octal
1630434
Hexadecimal
0x7311C
Base64
BzEc
One's complement
4,294,495,971 (32-bit)
Scientific notation
4.71324 × 10⁵
As a duration
471,324 s = 5 days, 10 hours, 55 minutes, 24 seconds
In other bases
ternary (3) 212221112110
quaternary (4) 1303010130
quinary (5) 110040244
senary (6) 14034020
septenary (7) 4002060
nonary (9) 787473
undecimal (11) 2a2127
duodecimal (12) 1a8910
tridecimal (13) 1366b9
tetradecimal (14) c3aa0
pentadecimal (15) 949b9

As an angle

471,324° = 1,309 × 360° + 84°
84° ≈ 1.466 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοατκδʹ
Chinese
四十七萬一千三百二十四
Chinese (financial)
肆拾柒萬壹仟參佰貳拾肆
In other modern scripts
Eastern Arabic ٤٧١٣٢٤ Devanagari ४७१३२४ Bengali ৪৭১৩২৪ Tamil ௪௭௧௩௨௪ Thai ๔๗๑๓๒๔ Tibetan ༤༧༡༣༢༤ Khmer ៤៧១៣២៤ Lao ໔໗໑໓໒໔ Burmese ၄၇၁၃၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471324, here are decompositions:

  • 11 + 471313 = 471324
  • 23 + 471301 = 471324
  • 41 + 471283 = 471324
  • 43 + 471281 = 471324
  • 47 + 471277 = 471324
  • 71 + 471253 = 471324
  • 83 + 471241 = 471324
  • 107 + 471217 = 471324

Showing the first eight; more decompositions exist.

Hex color
#07311C
RGB(7, 49, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.49.28.

Address
0.7.49.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.49.28

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 471,324 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 471324 first appears in π at position 26,172 of the decimal expansion (the 26,172ordinal-suffix:nd 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°.