Live analysis

473,008

473,008 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.).

473,008 (four hundred seventy-three thousand eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 17 × 37 × 47. Its proper divisors sum to 544,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x737B0.

Abundant Number Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

472,996 472,997 472,998 472,999 473,000 473,001 473,002 473,003 473,004 473,005 473,006 473,007 473,008 473,009 473,010 473,011 473,012 473,013 473,014 473,015 473,016 473,017 473,018 473,019 473,020

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 800,374
Square (n²): 223,736,568,064
Cube (n³): 105,829,186,586,816,512
Divisor count: 40
σ(n) — sum of divisors: 1,017,792
φ(n) — Euler's totient: 211,968
Sum of prime factors: 109

Primality

Prime factorization: 2 ⁴ × 17 × 37 × 47

Nearest primes: 472,993 (−15) · 473,009 (+1)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 8 · 16 · 17 · 34 · 37 · 47 · 68 · 74 · 94 · 136 · 148 · 188 · 272 · 296 · 376 · 592 · 629 · 752 · 799 · 1258 · 1598 · 1739 · 2516 · 3196 · 3478 · 5032 · 6392 · 6956 · 10064 · 12784 · 13912 · 27824 · 29563 · 59126 · 118252 · 236504 (half) · 473008

Aliquot sum (sum of proper divisors): 544,784

Factor pairs (a × b = 473,008)

1 × 473008

2 × 236504

4 × 118252

8 × 59126

16 × 29563

17 × 27824

34 × 13912

37 × 12784

47 × 10064

68 × 6956

74 × 6392

94 × 5032

136 × 3478

148 × 3196

188 × 2516

272 × 1739

296 × 1598

376 × 1258

592 × 799

629 × 752

First multiples

473,008 · 946,016 (double) · 1,419,024 · 1,892,032 · 2,365,040 · 2,838,048 · 3,311,056 · 3,784,064 · 4,257,072 · 4,730,080

Sums & aliquot sequence

As consecutive integers: 27,816 + 27,817 + … + 27,832 14,766 + 14,767 + … + 14,797 12,766 + 12,767 + … + 12,802 10,041 + 10,042 + … + 10,087

Aliquot sequence: 473,008 → 544,784 → 526,576 → 493,696 → 730,304 → 719,020 → 790,964 → 593,230 → 571,874 → 285,940 → 372,536 → 325,984 → 330,224 → 309,616 → 307,656 → 525,774 → 525,786 — unresolved within range

Continued fraction of √n

√473,008 = [687; (1, 3, 10, 1, 1, 2, 1, 1, 2, 9, 6, 16, 4, 1, 2, 1, 2, 1, 1, 16, 2, 2, 8, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-three thousand eight
Ordinal: 473008th
Binary: 1110011011110110000
Octal: 1633660
Hexadecimal: 0x737B0
Base64: Bzew
One's complement: 4,294,494,287 (32-bit)
Scientific notation: 4.73008 × 10⁵
As a duration: 473,008 s = 5 days, 11 hours, 23 minutes, 28 seconds

In other bases

ternary (3) 220000211211

quaternary (4) 1303132300

quinary (5) 110114013

senary (6) 14045504

septenary (7) 4010014

nonary (9) 800754

undecimal (11) 2a3418

duodecimal (12) 1a9894

tridecimal (13) 1373b3

tetradecimal (14) c4544

pentadecimal (15) 9523d

As an angle

473,008° = 1,313 × 360° + 328°

328° ≈ 5.725 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υογηʹ
Chinese: 四十七萬三千零八
Chinese (financial): 肆拾柒萬參仟零捌

In other modern scripts

Eastern Arabic ٤٧٣٠٠٨ Devanagari ४७३००८ Bengali ৪৭৩০০৮ Tamil ௪௭௩௦௦௮ Thai ๔๗๓๐๐๘ Tibetan ༤༧༣༠༠༨ Khmer ៤៧៣០០៨ Lao ໔໗໓໐໐໘ Burmese ၄၇၃၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473008, here are decompositions:

71 + 472937 = 473008
101 + 472907 = 473008
149 + 472859 = 473008
191 + 472817 = 473008
257 + 472751 = 473008
311 + 472697 = 473008
317 + 472691 = 473008
449 + 472559 = 473008

Showing the first eight; more decompositions exist.

Hex color

#0737B0

RGB(7, 55, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.176.

Address: 0.7.55.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.55.176

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 473,008 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 US473,008 on Google Patents ↗ Look up on USPTO ↗