Live analysis

504,006

504,006 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.).

504,006 (five hundred four thousand six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 167 × 503. Its proper divisors sum to 512,058, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7B0C6.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

503,994 503,995 503,996 503,997 503,998 503,999 504,000 504,001 504,002 504,003 504,004 504,005 504,006 504,007 504,008 504,009 504,010 504,011 504,012 504,013 504,014 504,015 504,016 504,017 504,018

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 600,405
Square (n²): 254,022,048,036
Cube (n³): 128,028,636,342,432,216
Divisor count: 16
σ(n) — sum of divisors: 1,016,064
φ(n) — Euler's totient: 166,664
Sum of prime factors: 675

Primality

Prime factorization: 2 × 3 × 167 × 503

Nearest primes: 504,001 (−5) · 504,011 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 167 · 334 · 501 · 503 · 1002 · 1006 · 1509 · 3018 · 84001 · 168002 · 252003 (half) · 504006

Aliquot sum (sum of proper divisors): 512,058

Factor pairs (a × b = 504,006)

1 × 504006

2 × 252003

3 × 168002

6 × 84001

167 × 3018

334 × 1509

501 × 1006

503 × 1002

First multiples

504,006 · 1,008,012 (double) · 1,512,018 · 2,016,024 · 2,520,030 · 3,024,036 · 3,528,042 · 4,032,048 · 4,536,054 · 5,040,060

Sums & aliquot sequence

As consecutive integers: 168,001 + 168,002 + 168,003 126,000 + 126,001 + 126,002 + 126,003 41,995 + 41,996 + … + 42,006 2,935 + 2,936 + … + 3,101

Aliquot sequence: 504,006 → 512,058 → 545,478 → 553,002 → 628,950 → 1,156,650 → 1,977,078 → 1,991,418 → 2,745,510 → 4,182,474 → 4,182,486 → 6,338,346 → 8,408,694 → 11,709,114 → 11,815,014 → 11,870,106 → 12,689,094 — unresolved within range

Continued fraction of √n

√504,006 = [709; (1, 14, 9, 2, 6, 5, 4, 1, 10, 1, 1, 4, 2, 1, 3, 1, 283, 5, 2, 1, 4, 1, 1, 2, …)]

Representations

In words: five hundred four thousand six
Ordinal: 504006th
Binary: 1111011000011000110
Octal: 1730306
Hexadecimal: 0x7B0C6
Base64: B7DG
One's complement: 4,294,463,289 (32-bit)
Scientific notation: 5.04006 × 10⁵
As a duration: 504,006 s = 5 days, 20 hours, 6 seconds

In other bases

ternary (3) 221121100220

quaternary (4) 1323003012

quinary (5) 112112011

senary (6) 14445210

septenary (7) 4166256

nonary (9) 847326

undecimal (11) 314738

duodecimal (12) 203806

tridecimal (13) 148539

tetradecimal (14) d1966

pentadecimal (15) 9e506

As an angle

504,006° = 1,400 × 360° + 6°

6° ≈ 0.105 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋 · 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵φδϛʹ
Chinese: 五十萬四千零六
Chinese (financial): 伍拾萬肆仟零陸

In other modern scripts

Eastern Arabic ٥٠٤٠٠٦ Devanagari ५०४००६ Bengali ৫০৪০০৬ Tamil ௫௦௪௦௦௬ Thai ๕๐๔๐๐๖ Tibetan ༥༠༤༠༠༦ Khmer ៥០៤០០៦ Lao ໕໐໔໐໐໖ Burmese ၅၀၄၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 504006, here are decompositions:

5 + 504001 = 504006
17 + 503989 = 504006
23 + 503983 = 504006
37 + 503969 = 504006
43 + 503963 = 504006
47 + 503959 = 504006
59 + 503947 = 504006
67 + 503939 = 504006

Showing the first eight; more decompositions exist.

Hex color

#07B0C6

RGB(7, 176, 198)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.176.198.

Address: 0.7.176.198
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.176.198

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 504,006 and was likely granted around 1893.

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

Look up US504,006 on Google Patents ↗ Look up on USPTO ↗