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471,352

471,352 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.).

471,352 (four hundred seventy-one thousand three hundred fifty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 19 × 443. Its proper divisors sum to 594,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73138.

Abundant Number Arithmetic Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
840
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
253,174
Square (n²)
222,172,707,904
Cube (n³)
104,721,550,215,966,208
Divisor count
32
σ(n) — sum of divisors
1,065,600
φ(n) — Euler's totient
190,944
Sum of prime factors
475

Primality

Prime factorization: 2 3 × 7 × 19 × 443

Nearest primes: 471,313 (−39) · 471,353 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 7 · 8 · 14 · 19 · 28 · 38 · 56 · 76 · 133 · 152 · 266 · 443 · 532 · 886 · 1064 · 1772 · 3101 · 3544 · 6202 · 8417 · 12404 · 16834 · 24808 · 33668 · 58919 · 67336 · 117838 · 235676 (half) · 471352
Aliquot sum (sum of proper divisors): 594,248
Factor pairs (a × b = 471,352)
1 × 471352
2 × 235676
4 × 117838
7 × 67336
8 × 58919
14 × 33668
19 × 24808
28 × 16834
38 × 12404
56 × 8417
76 × 6202
133 × 3544
152 × 3101
266 × 1772
443 × 1064
532 × 886
First multiples
471,352 · 942,704 (double) · 1,414,056 · 1,885,408 · 2,356,760 · 2,828,112 · 3,299,464 · 3,770,816 · 4,242,168 · 4,713,520

Sums & aliquot sequence

As consecutive integers: 67,333 + 67,334 + … + 67,339 29,452 + 29,453 + … + 29,467 24,799 + 24,800 + … + 24,817 4,153 + 4,154 + … + 4,264
Aliquot sequence: 471,352 594,248 539,752 561,848 666,952 841,268 630,958 319,082 159,544 230,336 242,104 221,216 230,368 244,400 401,392 376,336 371,136 — unresolved within range

Continued fraction of √n

√471,352 = [686; (1, 1, 4, 2, 2, 1, 2, 9, 1, 1, 1, 7, 1, 6, 1, 6, 1, 7, 1, 1, 1, 9, 2, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-one thousand three hundred fifty-two
Ordinal
471352nd
Binary
1110011000100111000
Octal
1630470
Hexadecimal
0x73138
Base64
BzE4
One's complement
4,294,495,943 (32-bit)
Scientific notation
4.71352 × 10⁵
As a duration
471,352 s = 5 days, 10 hours, 55 minutes, 52 seconds
In other bases
ternary (3) 212221120111
quaternary (4) 1303010320
quinary (5) 110040402
senary (6) 14034104
septenary (7) 4002130
nonary (9) 787514
undecimal (11) 2a2152
duodecimal (12) 1a8934
tridecimal (13) 13670b
tetradecimal (14) c3ac0
pentadecimal (15) 949d7

As an angle

471,352° = 1,309 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοατνβʹ
Chinese
四十七萬一千三百五十二
Chinese (financial)
肆拾柒萬壹仟參佰伍拾貳
In other modern scripts
Eastern Arabic ٤٧١٣٥٢ Devanagari ४७१३५२ Bengali ৪৭১৩৫২ Tamil ௪௭௧௩௫௨ Thai ๔๗๑๓๕๒ Tibetan ༤༧༡༣༥༢ Khmer ៤៧១៣៥២ Lao ໔໗໑໓໕໒ Burmese ၄၇၁၃၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471352, here are decompositions:

  • 53 + 471299 = 471352
  • 71 + 471281 = 471352
  • 173 + 471179 = 471352
  • 179 + 471173 = 471352
  • 191 + 471161 = 471352
  • 251 + 471101 = 471352
  • 263 + 471089 = 471352
  • 311 + 471041 = 471352

Showing the first eight; more decompositions exist.

Hex color
#073138
RGB(7, 49, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.49.56.

Address
0.7.49.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.49.56

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 471,352 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 471352 first appears in π at position 609,571 of the decimal expansion (the 609,571ordinal-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°.