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471,144

471,144 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.).

471,144 (four hundred seventy-one thousand one hundred forty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 67 × 293. Its proper divisors sum to 728,376, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73068.

Abundant Number Arithmetic Number Evil Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
448
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
441,174
Square (n²)
221,976,668,736
Cube (n³)
104,582,975,614,953,984
Divisor count
32
σ(n) — sum of divisors
1,199,520
φ(n) — Euler's totient
154,176
Sum of prime factors
369

Primality

Prime factorization: 2 3 × 3 × 67 × 293

Nearest primes: 471,139 (−5) · 471,161 (+17)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 67 · 134 · 201 · 268 · 293 · 402 · 536 · 586 · 804 · 879 · 1172 · 1608 · 1758 · 2344 · 3516 · 7032 · 19631 · 39262 · 58893 · 78524 · 117786 · 157048 · 235572 (half) · 471144
Aliquot sum (sum of proper divisors): 728,376
Factor pairs (a × b = 471,144)
1 × 471144
2 × 235572
3 × 157048
4 × 117786
6 × 78524
8 × 58893
12 × 39262
24 × 19631
67 × 7032
134 × 3516
201 × 2344
268 × 1758
293 × 1608
402 × 1172
536 × 879
586 × 804
First multiples
471,144 · 942,288 (double) · 1,413,432 · 1,884,576 · 2,355,720 · 2,826,864 · 3,298,008 · 3,769,152 · 4,240,296 · 4,711,440

Sums & aliquot sequence

As consecutive integers: 157,047 + 157,048 + 157,049 29,439 + 29,440 + … + 29,454 9,792 + 9,793 + … + 9,839 6,999 + 7,000 + … + 7,065
Aliquot sequence: 471,144 728,376 1,345,224 2,165,496 3,485,064 6,272,376 11,595,144 20,338,296 36,512,904 54,769,416 92,687,544 164,778,456 247,167,744 410,660,952 757,812,648 1,219,091,352 2,007,916,248 — unresolved within range

Continued fraction of √n

√471,144 = [686; (2, 1, 1, 56, 1, 1, 2, 1372)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-one thousand one hundred forty-four
Ordinal
471144th
Binary
1110011000001101000
Octal
1630150
Hexadecimal
0x73068
Base64
BzBo
One's complement
4,294,496,151 (32-bit)
Scientific notation
4.71144 × 10⁵
As a duration
471,144 s = 5 days, 10 hours, 52 minutes, 24 seconds
In other bases
ternary (3) 212221021210
quaternary (4) 1303001220
quinary (5) 110034034
senary (6) 14033120
septenary (7) 4001412
nonary (9) 787253
undecimal (11) 2a1a83
duodecimal (12) 1a87a0
tridecimal (13) 1365ab
tetradecimal (14) c39b2
pentadecimal (15) 948e9

As an angle

471,144° = 1,308 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοαρμδʹ
Chinese
四十七萬一千一百四十四
Chinese (financial)
肆拾柒萬壹仟壹佰肆拾肆
In other modern scripts
Eastern Arabic ٤٧١١٤٤ Devanagari ४७११४४ Bengali ৪৭১১৪৪ Tamil ௪௭௧௧௪௪ Thai ๔๗๑๑๔๔ Tibetan ༤༧༡༡༤༤ Khmer ៤៧១១៤៤ Lao ໔໗໑໑໔໔ Burmese ၄၇၁၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471144, here are decompositions:

  • 5 + 471139 = 471144
  • 7 + 471137 = 471144
  • 43 + 471101 = 471144
  • 53 + 471091 = 471144
  • 71 + 471073 = 471144
  • 83 + 471061 = 471144
  • 103 + 471041 = 471144
  • 137 + 471007 = 471144

Showing the first eight; more decompositions exist.

Hex color
#073068
RGB(7, 48, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.48.104.

Address
0.7.48.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.48.104

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 471,144 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 471144 first appears in π at position 231,980 of the decimal expansion (the 231,980ordinal-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°.