Live analysis

504,672

504,672 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.).

504,672 (five hundred four thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 7 × 751. Its proper divisors sum to 1,011,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7B360.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

504,660 504,661 504,662 504,663 504,664 504,665 504,666 504,667 504,668 504,669 504,670 504,671 504,672 504,673 504,674 504,675 504,676 504,677 504,678 504,679 504,680 504,681 504,682 504,683 504,684

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Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 276,405
Square (n²): 254,693,827,584
Cube (n³): 128,536,843,354,472,448
Divisor count: 48
σ(n) — sum of divisors: 1,516,032
φ(n) — Euler's totient: 144,000
Sum of prime factors: 771

Primality

Prime factorization: 2 ⁵ × 3 × 7 × 751

Nearest primes: 504,671 (−1) · 504,677 (+5)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 32 · 42 · 48 · 56 · 84 · 96 · 112 · 168 · 224 · 336 · 672 · 751 · 1502 · 2253 · 3004 · 4506 · 5257 · 6008 · 9012 · 10514 · 12016 · 15771 · 18024 · 21028 · 24032 · 31542 · 36048 · 42056 · 63084 · 72096 · 84112 · 126168 · 168224 · 252336 (half) · 504672

Aliquot sum (sum of proper divisors): 1,011,360

Factor pairs (a × b = 504,672)

1 × 504672

2 × 252336

3 × 168224

4 × 126168

6 × 84112

7 × 72096

8 × 63084

12 × 42056

14 × 36048

16 × 31542

21 × 24032

24 × 21028

28 × 18024

32 × 15771

42 × 12016

48 × 10514

56 × 9012

84 × 6008

96 × 5257

112 × 4506

168 × 3004

224 × 2253

336 × 1502

672 × 751

First multiples

504,672 · 1,009,344 (double) · 1,514,016 · 2,018,688 · 2,523,360 · 3,028,032 · 3,532,704 · 4,037,376 · 4,542,048 · 5,046,720

Sums & aliquot sequence

As consecutive integers: 168,223 + 168,224 + 168,225 72,093 + 72,094 + … + 72,099 24,022 + 24,023 + … + 24,042 7,854 + 7,855 + … + 7,917

Aliquot sequence: 504,672 → 1,011,360 → 2,780,736 → 5,631,744 → 9,358,952 → 8,520,988 → 8,634,724 → 8,634,780 → 24,976,980 → 63,815,724 → 123,120,116 → 123,120,172 → 123,120,228 → 253,952,412 → 427,036,260 → 1,019,887,260 → 2,243,753,316 — unresolved within range

Continued fraction of √n

√504,672 = [710; (2, 2, 14, 2, 2, 1420)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: five hundred four thousand six hundred seventy-two
Ordinal: 504672nd
Binary: 1111011001101100000
Octal: 1731540
Hexadecimal: 0x7B360
Base64: B7Ng
One's complement: 4,294,462,623 (32-bit)
Scientific notation: 5.04672 × 10⁵
As a duration: 504,672 s = 5 days, 20 hours, 11 minutes, 12 seconds

In other bases

ternary (3) 221122021120

quaternary (4) 1323031200

quinary (5) 112122142

senary (6) 14452240

septenary (7) 4201230

nonary (9) 848246

undecimal (11) 315193

duodecimal (12) 204080

tridecimal (13) 14892c

tetradecimal (14) d1cc0

pentadecimal (15) 9e7ec

As an angle

504,672° = 1,401 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋 𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵φδχοβʹ
Chinese: 五十萬四千六百七十二
Chinese (financial): 伍拾萬肆仟陸佰柒拾貳

In other modern scripts

Eastern Arabic ٥٠٤٦٧٢ Devanagari ५०४६७२ Bengali ৫০৪৬৭২ Tamil ௫௦௪௬௭௨ Thai ๕๐๔๖๗๒ Tibetan ༥༠༤༦༧༢ Khmer ៥០៤៦៧២ Lao ໕໐໔໖໗໒ Burmese ၅၀၄၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 504672, here are decompositions:

5 + 504667 = 504672
11 + 504661 = 504672
41 + 504631 = 504672
53 + 504619 = 504672
73 + 504599 = 504672
79 + 504593 = 504672
109 + 504563 = 504672
149 + 504523 = 504672

Showing the first eight; more decompositions exist.

Hex color

#07B360

RGB(7, 179, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.179.96.

Address: 0.7.179.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.179.96

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 504,672 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 US504,672 on Google Patents ↗ Look up on USPTO ↗