Live analysis

473,424

473,424 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.).

473,424 (four hundred seventy-three thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 7 × 1,409. Its proper divisors sum to 925,296, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73950.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

473,412 473,413 473,414 473,415 473,416 473,417 473,418 473,419 473,420 473,421 473,422 473,423 473,424 473,425 473,426 473,427 473,428 473,429 473,430 473,431 473,432 473,433 473,434 473,435 473,436

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 2,688
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 424,374
Square (n²): 224,130,283,776
Cube (n³): 106,108,655,466,369,024
Divisor count: 40
σ(n) — sum of divisors: 1,398,720
φ(n) — Euler's totient: 135,168
Sum of prime factors: 1,427

Primality

Prime factorization: 2 ⁴ × 3 × 7 × 1409

Nearest primes: 473,419 (−5) · 473,441 (+17)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 42 · 48 · 56 · 84 · 112 · 168 · 336 · 1409 · 2818 · 4227 · 5636 · 8454 · 9863 · 11272 · 16908 · 19726 · 22544 · 29589 · 33816 · 39452 · 59178 · 67632 · 78904 · 118356 · 157808 · 236712 (half) · 473424

Aliquot sum (sum of proper divisors): 925,296

Factor pairs (a × b = 473,424)

1 × 473424

2 × 236712

3 × 157808

4 × 118356

6 × 78904

7 × 67632

8 × 59178

12 × 39452

14 × 33816

16 × 29589

21 × 22544

24 × 19726

28 × 16908

42 × 11272

48 × 9863

56 × 8454

84 × 5636

112 × 4227

168 × 2818

336 × 1409

First multiples

473,424 · 946,848 (double) · 1,420,272 · 1,893,696 · 2,367,120 · 2,840,544 · 3,313,968 · 3,787,392 · 4,260,816 · 4,734,240

Sums & aliquot sequence

As consecutive integers: 157,807 + 157,808 + 157,809 67,629 + 67,630 + … + 67,635 22,534 + 22,535 + … + 22,554 14,779 + 14,780 + … + 14,810

Aliquot sequence: 473,424 → 925,296 → 1,534,368 → 2,862,528 → 5,165,904 → 8,261,808 → 14,206,992 → 23,394,768 → 37,041,840 → 102,234,960 → 254,349,732 → 572,048,988 → 974,916,516 → 1,645,360,220 → 2,390,636,500 → 3,683,008,532 → 3,683,008,588 — unresolved within range

Continued fraction of √n

√473,424 = [688; (17, 4, 1, 54, 4, 7, 1, 8, 2, 2, 1, 1, 2, 23, 1, 3, 11, 3, 4, 1, 2, 1, 3, 1, …)]

Representations

In words: four hundred seventy-three thousand four hundred twenty-four
Ordinal: 473424th
Binary: 1110011100101010000
Octal: 1634520
Hexadecimal: 0x73950
Base64: BzlQ
One's complement: 4,294,493,871 (32-bit)
Scientific notation: 4.73424 × 10⁵
As a duration: 473,424 s = 5 days, 11 hours, 30 minutes, 24 seconds

In other bases

ternary (3) 220001102020

quaternary (4) 1303211100

quinary (5) 110122144

senary (6) 14051440

septenary (7) 4011150

nonary (9) 801366

undecimal (11) 2a3766

duodecimal (12) 1a9b80

tridecimal (13) 137643

tetradecimal (14) c4760

pentadecimal (15) 95419

As an angle

473,424° = 1,315 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υογυκδʹ
Chinese: 四十七萬三千四百二十四
Chinese (financial): 肆拾柒萬參仟肆佰貳拾肆

In other modern scripts

Eastern Arabic ٤٧٣٤٢٤ Devanagari ४७३४२४ Bengali ৪৭৩৪২৪ Tamil ௪௭௩௪௨௪ Thai ๔๗๓๔๒๔ Tibetan ༤༧༣༤༢༤ Khmer ៤៧៣៤២៤ Lao ໔໗໓໔໒໔ Burmese ၄၇၃၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473424, here are decompositions:

5 + 473419 = 473424
13 + 473411 = 473424
41 + 473383 = 473424
43 + 473381 = 473424
47 + 473377 = 473424
71 + 473353 = 473424
73 + 473351 = 473424
97 + 473327 = 473424

Showing the first eight; more decompositions exist.

Hex color

#073950

RGB(7, 57, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.57.80.

Address: 0.7.57.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.57.80

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 473,424 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 US473,424 on Google Patents ↗ Look up on USPTO ↗