Live analysis

471,640

471,640 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.).

471,640 (four hundred seventy-one thousand six hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 13 × 907. Its proper divisors sum to 672,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73258.

Abundant Number Gapful Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

471,628 471,629 471,630 471,631 471,632 471,633 471,634 471,635 471,636 471,637 471,638 471,639 471,640 471,641 471,642 471,643 471,644 471,645 471,646 471,647 471,648 471,649 471,650 471,651 471,652

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Properties

Parity: Even
Digit count: 6
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 46,174
Recamán's sequence: a(136,844) = 471,640
Square (n²): 222,444,289,600
Cube (n³): 104,913,624,746,944,000
Divisor count: 32
σ(n) — sum of divisors: 1,144,080
φ(n) — Euler's totient: 173,952
Sum of prime factors: 931

Primality

Prime factorization: 2 ³ × 5 × 13 × 907

Nearest primes: 471,619 (−21) · 471,641 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 20 · 26 · 40 · 52 · 65 · 104 · 130 · 260 · 520 · 907 · 1814 · 3628 · 4535 · 7256 · 9070 · 11791 · 18140 · 23582 · 36280 · 47164 · 58955 · 94328 · 117910 · 235820 (half) · 471640

Aliquot sum (sum of proper divisors): 672,440

Factor pairs (a × b = 471,640)

1 × 471640

2 × 235820

4 × 117910

5 × 94328

8 × 58955

10 × 47164

13 × 36280

20 × 23582

26 × 18140

40 × 11791

52 × 9070

65 × 7256

104 × 4535

130 × 3628

260 × 1814

520 × 907

First multiples

471,640 · 943,280 (double) · 1,414,920 · 1,886,560 · 2,358,200 · 2,829,840 · 3,301,480 · 3,773,120 · 4,244,760 · 4,716,400

Sums & aliquot sequence

As consecutive integers: 94,326 + 94,327 + 94,328 + 94,329 + 94,330 36,274 + 36,275 + … + 36,286 29,470 + 29,471 + … + 29,485 7,224 + 7,225 + … + 7,288

Aliquot sequence: 471,640 → 672,440 → 840,640 → 1,244,192 → 1,250,608 → 1,172,476 → 893,532 → 1,301,668 → 1,032,104 → 1,017,196 → 762,904 → 698,696 → 611,374 → 327,146 → 163,576 → 205,064 → 179,446 — unresolved within range

Continued fraction of √n

√471,640 = [686; (1, 3, 5, 1, 2, 3, 2, 6, 3, 2, 1, 3, 1, 16, 5, 1, 7, 1, 4, 11, 6, 1, 4, 2, …)]

Representations

In words: four hundred seventy-one thousand six hundred forty
Ordinal: 471640th
Binary: 1110011001001011000
Octal: 1631130
Hexadecimal: 0x73258
Base64: BzJY
One's complement: 4,294,495,655 (32-bit)
Scientific notation: 4.7164 × 10⁵
As a duration: 471,640 s = 5 days, 11 hours, 40 seconds

In other bases

ternary (3) 212221222011

quaternary (4) 1303021120

quinary (5) 110043030

senary (6) 14035304

septenary (7) 4003021

nonary (9) 787864

undecimal (11) 2a2394

duodecimal (12) 1a8b34

tridecimal (13) 1368a0

tetradecimal (14) c3c48

pentadecimal (15) 94b2a

As an angle

471,640° = 1,310 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 · 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υοαχμʹ
Chinese: 四十七萬一千六百四十
Chinese (financial): 肆拾柒萬壹仟陸佰肆拾

In other modern scripts

Eastern Arabic ٤٧١٦٤٠ Devanagari ४७१६४० Bengali ৪৭১৬৪০ Tamil ௪௭௧௬௪௦ Thai ๔๗๑๖๔๐ Tibetan ༤༧༡༦༤༠ Khmer ៤៧១៦៤០ Lao ໔໗໑໖໔໐ Burmese ၄၇၁၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471640, here are decompositions:

23 + 471617 = 471640
47 + 471593 = 471640
101 + 471539 = 471640
107 + 471533 = 471640
131 + 471509 = 471640
137 + 471503 = 471640
173 + 471467 = 471640
233 + 471407 = 471640

Showing the first eight; more decompositions exist.

Hex color

#073258

RGB(7, 50, 88)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.50.88.

Address: 0.7.50.88
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.50.88

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 471,640 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US471,640 on Google Patents ↗ Look up on USPTO ↗