Live analysis

521,004

521,004 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.).

521,004 (five hundred twenty-one thousand four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 11 × 3,947. Its proper divisors sum to 805,524, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F32C.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

520,992 520,993 520,994 520,995 520,996 520,997 520,998 520,999 521,000 521,001 521,002 521,003 521,004 521,005 521,006 521,007 521,008 521,009 521,010 521,011 521,012 521,013 521,014 521,015 521,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 400,125
Square (n²): 271,445,168,016
Cube (n³): 141,424,018,317,008,064
Divisor count: 24
σ(n) — sum of divisors: 1,326,528
φ(n) — Euler's totient: 157,840
Sum of prime factors: 3,965

Primality

Prime factorization: 2 ² × 3 × 11 × 3947

Nearest primes: 520,981 (−23) · 521,009 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 66 · 132 · 3947 · 7894 · 11841 · 15788 · 23682 · 43417 · 47364 · 86834 · 130251 · 173668 · 260502 (half) · 521004

Aliquot sum (sum of proper divisors): 805,524

Factor pairs (a × b = 521,004)

1 × 521004

2 × 260502

3 × 173668

4 × 130251

6 × 86834

11 × 47364

12 × 43417

22 × 23682

33 × 15788

44 × 11841

66 × 7894

132 × 3947

First multiples

521,004 · 1,042,008 (double) · 1,563,012 · 2,084,016 · 2,605,020 · 3,126,024 · 3,647,028 · 4,168,032 · 4,689,036 · 5,210,040

Sums & aliquot sequence

As consecutive integers: 173,667 + 173,668 + 173,669 65,122 + 65,123 + … + 65,129 47,359 + 47,360 + … + 47,369 21,697 + 21,698 + … + 21,720

Aliquot sequence: 521,004 → 805,524 → 1,173,516 → 1,709,364 → 2,306,284 → 1,839,060 → 4,077,396 → 6,428,736 → 11,999,726 → 5,999,866 → 2,999,936 → 3,242,464 → 3,478,376 → 4,047,064 → 4,625,336 → 4,047,184 → 3,794,266 — unresolved within range

Continued fraction of √n

√521,004 = [721; (1, 4, 6, 2, 1, 1, 4, 3, 1, 1, 7, 3, 8, 1, 14, 3, 3, 2, 1, 4, 10, 10, 7, 8, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: five hundred twenty-one thousand four
Ordinal: 521004th
Binary: 1111111001100101100
Octal: 1771454
Hexadecimal: 0x7F32C
Base64: B/Ms
One's complement: 4,294,446,291 (32-bit)
Scientific notation: 5.21004 × 10⁵
As a duration: 521,004 s = 6 days, 43 minutes, 24 seconds

In other bases

ternary (3) 222110200110

quaternary (4) 1333030230

quinary (5) 113133004

senary (6) 15100020

septenary (7) 4266651

nonary (9) 873613

undecimal (11) 326490

duodecimal (12) 211610

tridecimal (13) 1531b3

tetradecimal (14) d7c28

pentadecimal (15) a4589

As an angle

521,004° = 1,447 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵φκαδʹ
Chinese: 五十二萬一千零四
Chinese (financial): 伍拾貳萬壹仟零肆

In other modern scripts

Eastern Arabic ٥٢١٠٠٤ Devanagari ५२१००४ Bengali ৫২১০০৪ Tamil ௫௨௧௦௦௪ Thai ๕๒๑๐๐๔ Tibetan ༥༢༡༠༠༤ Khmer ៥២១០០៤ Lao ໕໒໑໐໐໔ Burmese ၅၂၁၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 521004, here are decompositions:

23 + 520981 = 521004
37 + 520967 = 521004
41 + 520963 = 521004
47 + 520957 = 521004
61 + 520943 = 521004
83 + 520921 = 521004
137 + 520867 = 521004
151 + 520853 = 521004

Showing the first eight; more decompositions exist.

Hex color

#07F32C

RGB(7, 243, 44)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.243.44.

Address: 0.7.243.44
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.243.44

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 521,004 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 US521,004 on Google Patents ↗ Look up on USPTO ↗