Live analysis

521,000

521,000 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.).

521,000 (five hundred twenty-one thousand) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5³ × 521. Its proper divisors sum to 700,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F328.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

520,988 520,989 520,990 520,991 520,992 520,993 520,994 520,995 520,996 520,997 520,998 520,999 521,000 521,001 521,002 521,003 521,004 521,005 521,006 521,007 521,008 521,009 521,010 521,011 521,012

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Properties

Parity: Even
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 19 bits
Reversed: 125
Square (n²): 271,441,000,000
Cube (n³): 141,420,761,000,000,000
Divisor count: 32
σ(n) — sum of divisors: 1,221,480
φ(n) — Euler's totient: 208,000
Sum of prime factors: 542

Primality

Prime factorization: 2 ³ × 5 ³ × 521

Nearest primes: 520,981 (−19) · 521,009 (+9)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 125 · 200 · 250 · 500 · 521 · 1000 · 1042 · 2084 · 2605 · 4168 · 5210 · 10420 · 13025 · 20840 · 26050 · 52100 · 65125 · 104200 · 130250 · 260500 (half) · 521000

Aliquot sum (sum of proper divisors): 700,480

Factor pairs (a × b = 521,000)

1 × 521000

2 × 260500

4 × 130250

5 × 104200

8 × 65125

10 × 52100

20 × 26050

25 × 20840

40 × 13025

50 × 10420

100 × 5210

125 × 4168

200 × 2605

250 × 2084

500 × 1042

521 × 1000

First multiples

521,000 · 1,042,000 (double) · 1,563,000 · 2,084,000 · 2,605,000 · 3,126,000 · 3,647,000 · 4,168,000 · 4,689,000 · 5,210,000

Sums & aliquot sequence

As a sum of two squares: 74² + 718² = 130² + 710² = 322² + 646² = 490² + 530²

As consecutive integers: 104,198 + 104,199 + 104,200 + 104,201 + 104,202 32,555 + 32,556 + … + 32,570 20,828 + 20,829 + … + 20,852 6,473 + 6,474 + … + 6,552

Aliquot sequence: 521,000 → 700,480 → 1,128,320 → 1,699,120 → 2,322,944 → 2,689,756 → 2,017,324 → 1,527,924 → 2,064,364 → 1,548,280 → 1,935,440 → 2,913,208 → 2,575,352 → 2,625,088 → 2,584,198 → 1,292,102 → 1,118,458 — unresolved within range

Continued fraction of √n

√521,000 = [721; (1, 4, 11, 1, 13, 1, 1, 13, 2, 1, 3, 57, 2, 8, 2, 8, 14, 3, 6, 1, 13, 57, 1, 2, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: five hundred twenty-one thousand
Ordinal: 521000th
Binary: 1111111001100101000
Octal: 1771450
Hexadecimal: 0x7F328
Base64: B/Mo
One's complement: 4,294,446,295 (32-bit)
Scientific notation: 5.21 × 10⁵
As a duration: 521,000 s = 6 days, 43 minutes, 20 seconds

In other bases

ternary (3) 222110200022

quaternary (4) 1333030220

quinary (5) 113133000

senary (6) 15100012

septenary (7) 4266644

nonary (9) 873608

undecimal (11) 326487

duodecimal (12) 211608

tridecimal (13) 1531ac

tetradecimal (14) d7c24

pentadecimal (15) a4585

As an angle

521,000° = 1,447 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼
Greek (Milesian): ͵φκα
Chinese: 五十二萬一千
Chinese (financial): 伍拾貳萬壹仟

In other modern scripts

Eastern Arabic ٥٢١٠٠٠ Devanagari ५२१००० Bengali ৫২১০০০ Tamil ௫௨௧௦௦௦ Thai ๕๒๑๐๐๐ Tibetan ༥༢༡༠༠༠ Khmer ៥២១០០០ Lao ໕໒໑໐໐໐ Burmese ၅၂၁၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 521000, here are decompositions:

19 + 520981 = 521000
31 + 520969 = 521000
37 + 520963 = 521000
43 + 520957 = 521000
79 + 520921 = 521000
163 + 520837 = 521000
241 + 520759 = 521000
283 + 520717 = 521000

Showing the first eight; more decompositions exist.

Hex color

#07F328

RGB(7, 243, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.243.40.

Address: 0.7.243.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.243.40

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 521,000 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 US521,000 on Google Patents ↗ Look up on USPTO ↗