Live analysis

513,320

513,320 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.).

513,320 (five hundred thirteen thousand three hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 41 × 313. Its proper divisors sum to 673,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D528.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

513,308 513,309 513,310 513,311 513,312 513,313 513,314 513,315 513,316 513,317 513,318 513,319 513,320 513,321 513,322 513,323 513,324 513,325 513,326 513,327 513,328 513,329 513,330 513,331 513,332

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Properties

Parity: Even
Digit count: 6
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 19 bits
Reversed: 23,315
Square (n²): 263,497,422,400
Cube (n³): 135,258,496,866,368,000
Divisor count: 32
σ(n) — sum of divisors: 1,186,920
φ(n) — Euler's totient: 199,680
Sum of prime factors: 365

Primality

Prime factorization: 2 ³ × 5 × 41 × 313

Nearest primes: 513,319 (−1) · 513,341 (+21)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 41 · 82 · 164 · 205 · 313 · 328 · 410 · 626 · 820 · 1252 · 1565 · 1640 · 2504 · 3130 · 6260 · 12520 · 12833 · 25666 · 51332 · 64165 · 102664 · 128330 · 256660 (half) · 513320

Aliquot sum (sum of proper divisors): 673,600

Factor pairs (a × b = 513,320)

1 × 513320

2 × 256660

4 × 128330

5 × 102664

8 × 64165

10 × 51332

20 × 25666

40 × 12833

41 × 12520

82 × 6260

164 × 3130

205 × 2504

313 × 1640

328 × 1565

410 × 1252

626 × 820

First multiples

513,320 · 1,026,640 (double) · 1,539,960 · 2,053,280 · 2,566,600 · 3,079,920 · 3,593,240 · 4,106,560 · 4,619,880 · 5,133,200

Sums & aliquot sequence

As a sum of two squares: 122² + 706² = 178² + 694² = 274² + 662² = 326² + 638²

As consecutive integers: 102,662 + 102,663 + 102,664 + 102,665 + 102,666 32,075 + 32,076 + … + 32,090 12,500 + 12,501 + … + 12,540 6,377 + 6,378 + … + 6,456

Aliquot sequence: 513,320 → 673,600 → 987,814 → 522,026 → 261,016 → 314,984 → 275,626 → 169,658 → 91,162 → 52,838 → 29,242 → 14,624 → 14,230 → 11,402 → 5,704 → 5,816 → 5,104 — unresolved within range

Continued fraction of √n

√513,320 = [716; (2, 6, 2, 1, 4, 5, 1, 2, 1, 2, 1, 3, 4, 4, 2, 6, 2, 2, 4, 11, 1, 1, 1, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: five hundred thirteen thousand three hundred twenty
Ordinal: 513320th
Binary: 1111101010100101000
Octal: 1752450
Hexadecimal: 0x7D528
Base64: B9Uo
One's complement: 4,294,453,975 (32-bit)
Scientific notation: 5.1332 × 10⁵
As a duration: 513,320 s = 5 days, 22 hours, 35 minutes, 20 seconds

In other bases

ternary (3) 222002010212

quaternary (4) 1331110220

quinary (5) 112411240

senary (6) 15000252

septenary (7) 4235363

nonary (9) 862125

undecimal (11) 320735

duodecimal (12) 209088

tridecimal (13) 14c852

tetradecimal (14) d50da

pentadecimal (15) a2165

As an angle

513,320° = 1,425 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵φιγτκʹ
Chinese: 五十一萬三千三百二十
Chinese (financial): 伍拾壹萬參仟參佰貳拾

In other modern scripts

Eastern Arabic ٥١٣٣٢٠ Devanagari ५१३३२० Bengali ৫১৩৩২০ Tamil ௫௧௩௩௨௦ Thai ๕๑๓๓๒๐ Tibetan ༥༡༣༣༢༠ Khmer ៥១៣៣២០ Lao ໕໑໓໓໒໐ Burmese ၅၁၃၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513320, here are decompositions:

7 + 513313 = 513320
13 + 513307 = 513320
37 + 513283 = 513320
43 + 513277 = 513320
151 + 513169 = 513320
163 + 513157 = 513320
211 + 513109 = 513320
307 + 513013 = 513320

Showing the first eight; more decompositions exist.

Hex color

#07D528

RGB(7, 213, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.40.

Address: 0.7.213.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.213.40

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 513,320 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 US513,320 on Google Patents ↗ Look up on USPTO ↗