Live analysis

521,442

521,442 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.).

521,442 (five hundred twenty-one thousand four hundred forty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 59 × 491. Its proper divisors sum to 629,838, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F4E2.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

521,430 521,431 521,432 521,433 521,434 521,435 521,436 521,437 521,438 521,439 521,440 521,441 521,442 521,443 521,444 521,445 521,446 521,447 521,448 521,449 521,450 521,451 521,452 521,453 521,454

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 320
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 244,125
Square (n²): 271,901,759,364
Cube (n³): 141,780,997,206,282,888
Divisor count: 24
σ(n) — sum of divisors: 1,151,280
φ(n) — Euler's totient: 170,520
Sum of prime factors: 558

Primality

Prime factorization: 2 × 3 ² × 59 × 491

Nearest primes: 521,429 (−13) · 521,447 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 18 · 59 · 118 · 177 · 354 · 491 · 531 · 982 · 1062 · 1473 · 2946 · 4419 · 8838 · 28969 · 57938 · 86907 · 173814 · 260721 (half) · 521442

Aliquot sum (sum of proper divisors): 629,838

Factor pairs (a × b = 521,442)

1 × 521442

2 × 260721

3 × 173814

6 × 86907

9 × 57938

18 × 28969

59 × 8838

118 × 4419

177 × 2946

354 × 1473

491 × 1062

531 × 982

First multiples

521,442 · 1,042,884 (double) · 1,564,326 · 2,085,768 · 2,607,210 · 3,128,652 · 3,650,094 · 4,171,536 · 4,692,978 · 5,214,420

Sums & aliquot sequence

As consecutive integers: 173,813 + 173,814 + 173,815 130,359 + 130,360 + 130,361 + 130,362 57,934 + 57,935 + … + 57,942 43,448 + 43,449 + … + 43,459

Aliquot sequence: 521,442 → 629,838 → 859,338 → 1,002,600 → 2,370,510 → 3,793,050 → 6,398,820 → 14,043,420 → 29,287,140 → 52,717,020 → 104,289,060 → 191,845,212 → 291,890,628 → 473,273,772 → 631,031,724 → 1,048,031,116 → 1,060,936,724 — unresolved within range

Continued fraction of √n

√521,442 = [722; (9, 7, 6, 1, 5, 9, 3, 1, 2, 1, 1, 2, 6, 1, 1, 10, 1, 5, 12, 1, 1, 1, 1, 2, …)]

Representations

In words: five hundred twenty-one thousand four hundred forty-two
Ordinal: 521442nd
Binary: 1111111010011100010
Octal: 1772342
Hexadecimal: 0x7F4E2
Base64: B/Ti
One's complement: 4,294,445,853 (32-bit)
Scientific notation: 5.21442 × 10⁵
As a duration: 521,442 s = 6 days, 50 minutes, 42 seconds

In other bases

ternary (3) 222111021200

quaternary (4) 1333103202

quinary (5) 113141232

senary (6) 15102030

septenary (7) 4301145

nonary (9) 874250

undecimal (11) 326849

duodecimal (12) 211916

tridecimal (13) 15345c

tetradecimal (14) d805c

pentadecimal (15) a477c

As an angle

521,442° = 1,448 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵φκαυμβʹ
Chinese: 五十二萬一千四百四十二
Chinese (financial): 伍拾貳萬壹仟肆佰肆拾貳

In other modern scripts

Eastern Arabic ٥٢١٤٤٢ Devanagari ५२१४४२ Bengali ৫২১৪৪২ Tamil ௫௨௧௪௪௨ Thai ๕๒๑๔๔๒ Tibetan ༥༢༡༤༤༢ Khmer ៥២១៤៤២ Lao ໕໒໑໔໔໒ Burmese ၅၂၁၄၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 521442, here are decompositions:

13 + 521429 = 521442
41 + 521401 = 521442
43 + 521399 = 521442
73 + 521369 = 521442
79 + 521363 = 521442
83 + 521359 = 521442
113 + 521329 = 521442
191 + 521251 = 521442

Showing the first eight; more decompositions exist.

Hex color

#07F4E2

RGB(7, 244, 226)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.244.226.

Address: 0.7.244.226
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.244.226

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 521,442 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 US521,442 on Google Patents ↗ Look up on USPTO ↗