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471,172

471,172 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.).

471,172 (four hundred seventy-one thousand one hundred seventy-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 13² × 17 × 41. Its proper divisors sum to 497,264, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73084.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
392
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
271,174
Square (n²)
222,003,053,584
Cube (n³)
104,601,622,763,280,448
Divisor count
36
σ(n) — sum of divisors
968,436
φ(n) — Euler's totient
199,680
Sum of prime factors
88

Primality

Prime factorization: 2 2 × 13 2 × 17 × 41

Nearest primes: 471,161 (−11) · 471,173 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 13 · 17 · 26 · 34 · 41 · 52 · 68 · 82 · 164 · 169 · 221 · 338 · 442 · 533 · 676 · 697 · 884 · 1066 · 1394 · 2132 · 2788 · 2873 · 5746 · 6929 · 9061 · 11492 · 13858 · 18122 · 27716 · 36244 · 117793 · 235586 (half) · 471172
Aliquot sum (sum of proper divisors): 497,264
Factor pairs (a × b = 471,172)
1 × 471172
2 × 235586
4 × 117793
13 × 36244
17 × 27716
26 × 18122
34 × 13858
41 × 11492
52 × 9061
68 × 6929
82 × 5746
164 × 2873
169 × 2788
221 × 2132
338 × 1394
442 × 1066
533 × 884
676 × 697
First multiples
471,172 · 942,344 (double) · 1,413,516 · 1,884,688 · 2,355,860 · 2,827,032 · 3,298,204 · 3,769,376 · 4,240,548 · 4,711,720

Sums & aliquot sequence

As a sum of two squares: 24² + 686² = 174² + 664² = 286² + 624² = 344² + 594²
As consecutive integers: 58,893 + 58,894 + … + 58,900 36,238 + 36,239 + … + 36,250 27,708 + 27,709 + … + 27,724 11,472 + 11,473 + … + 11,512
Aliquot sequence: 471,172 497,264 466,216 418,124 431,956 432,012 759,668 877,324 877,380 1,931,580 5,154,660 12,719,196 26,199,684 49,489,020 131,765,508 266,730,492 444,551,044 — unresolved within range

Continued fraction of √n

√471,172 = [686; (2, 2, 1, 1, 1, 1, 2, 2, 3, 7, 1, 4, 1, 10, 1, 1, 15, 3, 1, 7, 2, 1, 2, 2, …)]

Representations

In words
four hundred seventy-one thousand one hundred seventy-two
Ordinal
471172nd
Binary
1110011000010000100
Octal
1630204
Hexadecimal
0x73084
Base64
BzCE
One's complement
4,294,496,123 (32-bit)
Scientific notation
4.71172 × 10⁵
As a duration
471,172 s = 5 days, 10 hours, 52 minutes, 52 seconds
In other bases
ternary (3) 212221022211
quaternary (4) 1303002010
quinary (5) 110034142
senary (6) 14033204
septenary (7) 4001452
nonary (9) 787284
undecimal (11) 2a1aa9
duodecimal (12) 1a8804
tridecimal (13) 136600
tetradecimal (14) c39d2
pentadecimal (15) 94917

As an angle

471,172° = 1,308 × 360° + 292°
292° ≈ 5.096 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοαροβʹ
Chinese
四十七萬一千一百七十二
Chinese (financial)
肆拾柒萬壹仟壹佰柒拾貳
In other modern scripts
Eastern Arabic ٤٧١١٧٢ Devanagari ४७११७२ Bengali ৪৭১১৭২ Tamil ௪௭௧௧௭௨ Thai ๔๗๑๑๗๒ Tibetan ༤༧༡༡༧༢ Khmer ៤៧១១៧២ Lao ໔໗໑໑໗໒ Burmese ၄၇၁၁၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471172, here are decompositions:

  • 11 + 471161 = 471172
  • 71 + 471101 = 471172
  • 83 + 471089 = 471172
  • 131 + 471041 = 471172
  • 173 + 470999 = 471172
  • 179 + 470993 = 471172
  • 239 + 470933 = 471172
  • 269 + 470903 = 471172

Showing the first eight; more decompositions exist.

Hex color
#073084
RGB(7, 48, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.48.132.

Address
0.7.48.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.48.132

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 471,172 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 471172 first appears in π at position 67,913 of the decimal expansion (the 67,913ordinal-suffix:th 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°.