Live analysis

473,004

473,004 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.).

473,004 (four hundred seventy-three thousand four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 7 × 1,877. Its proper divisors sum to 894,180, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x737AC.

Abundant Number Cube-Free Evil Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

472,992 472,993 472,994 472,995 472,996 472,997 472,998 472,999 473,000 473,001 473,002 473,003 473,004 473,005 473,006 473,007 473,008 473,009 473,010 473,011 473,012 473,013 473,014 473,015 473,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 400,374
Square (n²): 223,732,784,016
Cube (n³): 105,826,501,770,704,064
Divisor count: 36
σ(n) — sum of divisors: 1,367,184
φ(n) — Euler's totient: 135,072
Sum of prime factors: 1,894

Primality

Prime factorization: 2 ² × 3 ² × 7 × 1877

Nearest primes: 472,993 (−11) · 473,009 (+5)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 28 · 36 · 42 · 63 · 84 · 126 · 252 · 1877 · 3754 · 5631 · 7508 · 11262 · 13139 · 16893 · 22524 · 26278 · 33786 · 39417 · 52556 · 67572 · 78834 · 118251 · 157668 · 236502 (half) · 473004

Aliquot sum (sum of proper divisors): 894,180

Factor pairs (a × b = 473,004)

1 × 473004

2 × 236502

3 × 157668

4 × 118251

6 × 78834

7 × 67572

9 × 52556

12 × 39417

14 × 33786

18 × 26278

21 × 22524

28 × 16893

36 × 13139

42 × 11262

63 × 7508

84 × 5631

126 × 3754

252 × 1877

First multiples

473,004 · 946,008 (double) · 1,419,012 · 1,892,016 · 2,365,020 · 2,838,024 · 3,311,028 · 3,784,032 · 4,257,036 · 4,730,040

Sums & aliquot sequence

As consecutive integers: 157,667 + 157,668 + 157,669 67,569 + 67,570 + … + 67,575 59,122 + 59,123 + … + 59,129 52,552 + 52,553 + … + 52,560

Aliquot sequence: 473,004 → 894,180 → 1,968,540 → 4,536,420 → 10,248,924 → 17,081,764 → 17,081,820 → 43,666,980 → 96,068,700 → 323,904,420 → 840,674,268 → 1,650,214,692 → 3,270,878,940 → 7,438,435,620 → 19,908,201,180 — keeps growing

Continued fraction of √n

√473,004 = [687; (1, 3, 21, 1, 1, 2, 2, 152, 2, 2, 1, 1, 21, 3, 1, 1374)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-three thousand four
Ordinal: 473004th
Binary: 1110011011110101100
Octal: 1633654
Hexadecimal: 0x737AC
Base64: Bzes
One's complement: 4,294,494,291 (32-bit)
Scientific notation: 4.73004 × 10⁵
As a duration: 473,004 s = 5 days, 11 hours, 23 minutes, 24 seconds

In other bases

ternary (3) 220000211200

quaternary (4) 1303132230

quinary (5) 110114004

senary (6) 14045500

septenary (7) 4010010

nonary (9) 800750

undecimal (11) 2a3414

duodecimal (12) 1a9890

tridecimal (13) 1373ac

tetradecimal (14) c4540

pentadecimal (15) 95239

As an angle

473,004° = 1,313 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υογδʹ
Chinese: 四十七萬三千零四
Chinese (financial): 肆拾柒萬參仟零肆

In other modern scripts

Eastern Arabic ٤٧٣٠٠٤ Devanagari ४७३००४ Bengali ৪৭৩০০৪ Tamil ௪௭௩௦௦௪ Thai ๔๗๓๐๐๔ Tibetan ༤༧༣༠༠༤ Khmer ៤៧៣០០៤ Lao ໔໗໓໐໐໔ Burmese ၄၇၃၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473004, here are decompositions:

11 + 472993 = 473004
41 + 472963 = 473004
67 + 472937 = 473004
83 + 472921 = 473004
97 + 472907 = 473004
157 + 472847 = 473004
167 + 472837 = 473004
173 + 472831 = 473004

Showing the first eight; more decompositions exist.

Hex color

#0737AC

RGB(7, 55, 172)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.172.

Address: 0.7.55.172
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.55.172

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 473,004 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 US473,004 on Google Patents ↗ Look up on USPTO ↗