Live analysis

524,004

524,004 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.).

524,004 (five hundred twenty-four thousand four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 13 × 3,359. Its proper divisors sum to 793,116, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7FEE4.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

523,992 523,993 523,994 523,995 523,996 523,997 523,998 523,999 524,000 524,001 524,002 524,003 524,004 524,005 524,006 524,007 524,008 524,009 524,010 524,011 524,012 524,013 524,014 524,015 524,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 400,425
Square (n²): 274,580,192,016
Cube (n³): 143,881,118,937,152,064
Divisor count: 24
σ(n) — sum of divisors: 1,317,120
φ(n) — Euler's totient: 161,184
Sum of prime factors: 3,379

Primality

Prime factorization: 2 ² × 3 × 13 × 3359

Nearest primes: 523,997 (−7) · 524,047 (+43)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 78 · 156 · 3359 · 6718 · 10077 · 13436 · 20154 · 40308 · 43667 · 87334 · 131001 · 174668 · 262002 (half) · 524004

Aliquot sum (sum of proper divisors): 793,116

Factor pairs (a × b = 524,004)

1 × 524004

2 × 262002

3 × 174668

4 × 131001

6 × 87334

12 × 43667

13 × 40308

26 × 20154

39 × 13436

52 × 10077

78 × 6718

156 × 3359

First multiples

524,004 · 1,048,008 (double) · 1,572,012 · 2,096,016 · 2,620,020 · 3,144,024 · 3,668,028 · 4,192,032 · 4,716,036 · 5,240,040

Sums & aliquot sequence

As consecutive integers: 174,667 + 174,668 + 174,669 65,497 + 65,498 + … + 65,504 40,302 + 40,303 + … + 40,314 21,822 + 21,823 + … + 21,845

Aliquot sequence: 524,004 → 793,116 → 1,211,796 → 1,929,888 → 3,559,050 → 6,886,710 → 11,018,970 → 19,186,470 → 32,405,994 → 41,107,446 → 50,242,554 → 58,616,352 → 112,350,528 → 209,683,626 → 209,683,638 → 254,299,050 → 428,918,940 — unresolved within range

Continued fraction of √n

√524,004 = [723; (1, 7, 2, 2, 1, 1, 4, 1, 62, 7, 1, 57, 28, 2, 1, 2, 2, 1, 8, 2, 2, 22, 4, 1, …)]

Representations

In words: five hundred twenty-four thousand four
Ordinal: 524004th
Binary: 1111111111011100100
Octal: 1777344
Hexadecimal: 0x7FEE4
Base64: B/7k
One's complement: 4,294,443,291 (32-bit)
Scientific notation: 5.24004 × 10⁵
As a duration: 524,004 s = 6 days, 1 hour, 33 minutes, 24 seconds

In other bases

ternary (3) 222121210120

quaternary (4) 1333323210

quinary (5) 113232004

senary (6) 15121540

septenary (7) 4311465

nonary (9) 877716

undecimal (11) 328768

duodecimal (12) 2132b0

tridecimal (13) 154680

tetradecimal (14) d8d6c

pentadecimal (15) a53d9

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵φκδδʹ
Chinese: 五十二萬四千零四
Chinese (financial): 伍拾貳萬肆仟零肆

In other modern scripts

Eastern Arabic ٥٢٤٠٠٤ Devanagari ५२४००४ Bengali ৫২৪০০৪ Tamil ௫௨௪௦௦௪ Thai ๕๒๔๐๐๔ Tibetan ༥༢༤༠༠༤ Khmer ៥២៤០០៤ Lao ໕໒໔໐໐໔ Burmese ၅၂၄၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 524004, here are decompositions:

7 + 523997 = 524004
17 + 523987 = 524004
67 + 523937 = 524004
97 + 523907 = 524004
101 + 523903 = 524004
127 + 523877 = 524004
137 + 523867 = 524004
157 + 523847 = 524004

Showing the first eight; more decompositions exist.

Hex color

#07FEE4

RGB(7, 254, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.254.228.

Address: 0.7.254.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.254.228

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 524,004 and was likely granted around 1894.

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

Look up US524,004 on Google Patents ↗ Look up on USPTO ↗