Live analysis

473,840

473,840 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.).

473,840 (four hundred seventy-three thousand eight hundred forty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 5,923. Its proper divisors sum to 628,024, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73AF0.

Abundant Number Gapful Number Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

473,828 473,829 473,830 473,831 473,832 473,833 473,834 473,835 473,836 473,837 473,838 473,839 473,840 473,841 473,842 473,843 473,844 473,845 473,846 473,847 473,848 473,849 473,850 473,851 473,852

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Properties

Parity: Even
Digit count: 6
Digit sum: 26
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 19 bits
Reversed: 48,374
Square (n²): 224,524,345,600
Cube (n³): 106,388,615,919,104,000
Divisor count: 20
σ(n) — sum of divisors: 1,101,864
φ(n) — Euler's totient: 189,504
Sum of prime factors: 5,936

Primality

Prime factorization: 2 ⁴ × 5 × 5923

Nearest primes: 473,839 (−1) · 473,857 (+17)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 5923 · 11846 · 23692 · 29615 · 47384 · 59230 · 94768 · 118460 · 236920 (half) · 473840

Aliquot sum (sum of proper divisors): 628,024

Factor pairs (a × b = 473,840)

1 × 473840

2 × 236920

4 × 118460

5 × 94768

8 × 59230

10 × 47384

16 × 29615

20 × 23692

40 × 11846

80 × 5923

First multiples

473,840 · 947,680 (double) · 1,421,520 · 1,895,360 · 2,369,200 · 2,843,040 · 3,316,880 · 3,790,720 · 4,264,560 · 4,738,400

Sums & aliquot sequence

As consecutive integers: 94,766 + 94,767 + 94,768 + 94,769 + 94,770 14,792 + 14,793 + … + 14,823 2,882 + 2,883 + … + 3,041

Aliquot sequence: 473,840 → 628,024 → 590,576 → 717,376 → 837,104 → 802,672 → 978,464 → 947,950 → 815,330 → 652,282 → 326,144 → 490,210 → 546,590 → 526,930 → 509,870 → 422,818 → 269,102 — unresolved within range

Continued fraction of √n

√473,840 = [688; (2, 1, 3, 2, 3, 1, 7, 21, 19, 2, 1, 10, 1, 2, 2, 1, 1, 7, 1, 1, 3, 1, 3, 1, …)]

Representations

In words: four hundred seventy-three thousand eight hundred forty
Ordinal: 473840th
Binary: 1110011101011110000
Octal: 1635360
Hexadecimal: 0x73AF0
Base64: Bzrw
One's complement: 4,294,493,455 (32-bit)
Scientific notation: 4.7384 × 10⁵
As a duration: 473,840 s = 5 days, 11 hours, 37 minutes, 20 seconds

In other bases

ternary (3) 220001222122

quaternary (4) 1303223300

quinary (5) 110130330

senary (6) 14053412

septenary (7) 4012313

nonary (9) 801878

undecimal (11) 2a4004

duodecimal (12) 1aa268

tridecimal (13) 1378a3

tetradecimal (14) c497a

pentadecimal (15) 955e5

As an angle

473,840° = 1,316 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υογωμʹ
Chinese: 四十七萬三千八百四十
Chinese (financial): 肆拾柒萬參仟捌佰肆拾

In other modern scripts

Eastern Arabic ٤٧٣٨٤٠ Devanagari ४७३८४० Bengali ৪৭৩৮৪০ Tamil ௪௭௩௮௪௦ Thai ๔๗๓๘๔๐ Tibetan ༤༧༣༨༤༠ Khmer ៤៧៣៨៤០ Lao ໔໗໓໘໔໐ Burmese ၄၇၃၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473840, here are decompositions:

7 + 473833 = 473840
79 + 473761 = 473840
97 + 473743 = 473840
181 + 473659 = 473840
193 + 473647 = 473840
223 + 473617 = 473840
229 + 473611 = 473840
307 + 473533 = 473840

Showing the first eight; more decompositions exist.

Hex color

#073AF0

RGB(7, 58, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.58.240.

Address: 0.7.58.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.58.240

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 473,840 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 US473,840 on Google Patents ↗ Look up on USPTO ↗