Live analysis

513,330

513,330 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.).

513,330 (five hundred thirteen thousand three hundred thirty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 71 × 241. Its proper divisors sum to 741,198, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D532.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

513,318 513,319 513,320 513,321 513,322 513,323 513,324 513,325 513,326 513,327 513,328 513,329 513,330 513,331 513,332 513,333 513,334 513,335 513,336 513,337 513,338 513,339 513,340 513,341 513,342

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 33,315
Square (n²): 263,507,688,900
Cube (n³): 135,266,401,943,037,000
Divisor count: 32
σ(n) — sum of divisors: 1,254,528
φ(n) — Euler's totient: 134,400
Sum of prime factors: 322

Primality

Prime factorization: 2 × 3 × 5 × 71 × 241

Nearest primes: 513,319 (−11) · 513,341 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 71 · 142 · 213 · 241 · 355 · 426 · 482 · 710 · 723 · 1065 · 1205 · 1446 · 2130 · 2410 · 3615 · 7230 · 17111 · 34222 · 51333 · 85555 · 102666 · 171110 · 256665 (half) · 513330

Aliquot sum (sum of proper divisors): 741,198

Factor pairs (a × b = 513,330)

1 × 513330

2 × 256665

3 × 171110

5 × 102666

6 × 85555

10 × 51333

15 × 34222

30 × 17111

71 × 7230

142 × 3615

213 × 2410

241 × 2130

355 × 1446

426 × 1205

482 × 1065

710 × 723

First multiples

513,330 · 1,026,660 (double) · 1,539,990 · 2,053,320 · 2,566,650 · 3,079,980 · 3,593,310 · 4,106,640 · 4,619,970 · 5,133,300

Sums & aliquot sequence

As consecutive integers: 171,109 + 171,110 + 171,111 128,331 + 128,332 + 128,333 + 128,334 102,664 + 102,665 + 102,666 + 102,667 + 102,668 42,772 + 42,773 + … + 42,783

Aliquot sequence: 513,330 → 741,198 → 855,474 → 956,334 → 956,346 → 1,057,254 → 1,289,370 → 1,805,190 → 2,756,730 → 4,016,454 → 5,233,098 → 6,532,278 → 6,602,298 → 6,628,998 → 6,629,010 → 9,398,190 → 13,157,538 — unresolved within range

Continued fraction of √n

√513,330 = [716; (2, 7, 1, 46, 1, 7, 2, 1432)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: five hundred thirteen thousand three hundred thirty
Ordinal: 513330th
Binary: 1111101010100110010
Octal: 1752462
Hexadecimal: 0x7D532
Base64: B9Uy
One's complement: 4,294,453,965 (32-bit)
Scientific notation: 5.1333 × 10⁵
As a duration: 513,330 s = 5 days, 22 hours, 35 minutes, 30 seconds

In other bases

ternary (3) 222002011020

quaternary (4) 1331110302

quinary (5) 112411310

senary (6) 15000310

septenary (7) 4235406

nonary (9) 862136

undecimal (11) 320744

duodecimal (12) 209096

tridecimal (13) 14c85c

tetradecimal (14) d5106

pentadecimal (15) a2170

As an angle

513,330° = 1,425 × 360° + 330°

330° ≈ 5.76 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian): ͵φιγτλʹ
Chinese: 五十一萬三千三百三十
Chinese (financial): 伍拾壹萬參仟參佰參拾

In other modern scripts

Eastern Arabic ٥١٣٣٣٠ Devanagari ५१३३३० Bengali ৫১৩৩৩০ Tamil ௫௧௩௩௩௦ Thai ๕๑๓๓๓๐ Tibetan ༥༡༣༣༣༠ Khmer ៥១៣៣៣០ Lao ໕໑໓໓໓໐ Burmese ၅၁၃၃၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513330, here are decompositions:

11 + 513319 = 513330
17 + 513313 = 513330
19 + 513311 = 513330
23 + 513307 = 513330
47 + 513283 = 513330
53 + 513277 = 513330
61 + 513269 = 513330
73 + 513257 = 513330

Showing the first eight; more decompositions exist.

Hex color

#07D532

RGB(7, 213, 50)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.50.

Address: 0.7.213.50
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.213.50

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 513,330 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 US513,330 on Google Patents ↗ Look up on USPTO ↗