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471,328

471,328 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.).

471,328 (four hundred seventy-one thousand three hundred twenty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 11 × 13 × 103. Its proper divisors sum to 629,408, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73120.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,344
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
823,174
Square (n²)
222,150,083,584
Cube (n³)
104,705,554,595,479,552
Divisor count
48
σ(n) — sum of divisors
1,100,736
φ(n) — Euler's totient
195,840
Sum of prime factors
137

Primality

Prime factorization: 2 5 × 11 × 13 × 103

Nearest primes: 471,313 (−15) · 471,353 (+25)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 8 · 11 · 13 · 16 · 22 · 26 · 32 · 44 · 52 · 88 · 103 · 104 · 143 · 176 · 206 · 208 · 286 · 352 · 412 · 416 · 572 · 824 · 1133 · 1144 · 1339 · 1648 · 2266 · 2288 · 2678 · 3296 · 4532 · 4576 · 5356 · 9064 · 10712 · 14729 · 18128 · 21424 · 29458 · 36256 · 42848 · 58916 · 117832 · 235664 (half) · 471328
Aliquot sum (sum of proper divisors): 629,408
Factor pairs (a × b = 471,328)
1 × 471328
2 × 235664
4 × 117832
8 × 58916
11 × 42848
13 × 36256
16 × 29458
22 × 21424
26 × 18128
32 × 14729
44 × 10712
52 × 9064
88 × 5356
103 × 4576
104 × 4532
143 × 3296
176 × 2678
206 × 2288
208 × 2266
286 × 1648
352 × 1339
412 × 1144
416 × 1133
572 × 824
First multiples
471,328 · 942,656 (double) · 1,413,984 · 1,885,312 · 2,356,640 · 2,827,968 · 3,299,296 · 3,770,624 · 4,241,952 · 4,713,280

Sums & aliquot sequence

As consecutive integers: 42,843 + 42,844 + … + 42,853 36,250 + 36,251 + … + 36,262 7,333 + 7,334 + … + 7,396 4,525 + 4,526 + … + 4,627
Aliquot sequence: 471,328 629,408 799,432 699,518 349,762 282,254 201,634 103,034 51,520 94,784 93,430 74,762 41,338 26,342 13,174 9,434 5,146 — unresolved within range

Continued fraction of √n

√471,328 = [686; (1, 1, 7, 343, 7, 1, 1, 1372)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-one thousand three hundred twenty-eight
Ordinal
471328th
Binary
1110011000100100000
Octal
1630440
Hexadecimal
0x73120
Base64
BzEg
One's complement
4,294,495,967 (32-bit)
Scientific notation
4.71328 × 10⁵
As a duration
471,328 s = 5 days, 10 hours, 55 minutes, 28 seconds
In other bases
ternary (3) 212221112121
quaternary (4) 1303010200
quinary (5) 110040303
senary (6) 14034024
septenary (7) 4002064
nonary (9) 787477
undecimal (11) 2a2130
duodecimal (12) 1a8914
tridecimal (13) 1366c0
tetradecimal (14) c3aa4
pentadecimal (15) 949bd

As an angle

471,328° = 1,309 × 360° + 88°
88° ≈ 1.536 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοατκηʹ
Chinese
四十七萬一千三百二十八
Chinese (financial)
肆拾柒萬壹仟參佰貳拾捌
In other modern scripts
Eastern Arabic ٤٧١٣٢٨ Devanagari ४७१३२८ Bengali ৪৭১৩২৮ Tamil ௪௭௧௩௨௮ Thai ๔๗๑๓๒๘ Tibetan ༤༧༡༣༢༨ Khmer ៤៧១៣២៨ Lao ໔໗໑໓໒໘ Burmese ၄၇၁၃၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471328, here are decompositions:

  • 29 + 471299 = 471328
  • 47 + 471281 = 471328
  • 149 + 471179 = 471328
  • 167 + 471161 = 471328
  • 191 + 471137 = 471328
  • 227 + 471101 = 471328
  • 239 + 471089 = 471328
  • 401 + 470927 = 471328

Showing the first eight; more decompositions exist.

Hex color
#073120
RGB(7, 49, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.49.32.

Address
0.7.49.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.49.32

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 471,328 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 471328 first appears in π at position 384,301 of the decimal expansion (the 384,301ordinal-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°.