Live analysis

513,220

513,220 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.).

513,220 (five hundred thirteen thousand two hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 67 × 383. Its proper divisors sum to 583,484, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D4C4.

Abundant Number Arithmetic Number Cube-Free Evil Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

513,208 513,209 513,210 513,211 513,212 513,213 513,214 513,215 513,216 513,217 513,218 513,219 513,220 513,221 513,222 513,223 513,224 513,225 513,226 513,227 513,228 513,229 513,230 513,231 513,232

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Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 22,315
Square (n²): 263,394,768,400
Cube (n³): 135,179,463,038,248,000
Divisor count: 24
σ(n) — sum of divisors: 1,096,704
φ(n) — Euler's totient: 201,696
Sum of prime factors: 459

Primality

Prime factorization: 2 ² × 5 × 67 × 383

Nearest primes: 513,203 (−17) · 513,239 (+19)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 67 · 134 · 268 · 335 · 383 · 670 · 766 · 1340 · 1532 · 1915 · 3830 · 7660 · 25661 · 51322 · 102644 · 128305 · 256610 (half) · 513220

Aliquot sum (sum of proper divisors): 583,484

Factor pairs (a × b = 513,220)

1 × 513220

2 × 256610

4 × 128305

5 × 102644

10 × 51322

20 × 25661

67 × 7660

134 × 3830

268 × 1915

335 × 1532

383 × 1340

670 × 766

First multiples

513,220 · 1,026,440 (double) · 1,539,660 · 2,052,880 · 2,566,100 · 3,079,320 · 3,592,540 · 4,105,760 · 4,618,980 · 5,132,200

Sums & aliquot sequence

As consecutive integers: 102,642 + 102,643 + 102,644 + 102,645 + 102,646 64,149 + 64,150 + … + 64,156 12,811 + 12,812 + … + 12,850 7,627 + 7,628 + … + 7,693

Aliquot sequence: 513,220 → 583,484 → 550,516 → 418,704 → 872,880 → 1,833,792 → 3,018,624 → 6,153,216 → 10,255,536 → 18,663,744 → 35,212,704 → 57,573,696 → 109,212,864 → 181,737,024 → 367,805,184 → 611,095,032 → 1,045,091,448 — unresolved within range

Continued fraction of √n

√513,220 = [716; (2, 1, 1, 5, 1, 3, 1, 10, 3, 5, 6, 68, 15, 14, 1, 6, 17, 1, 129, 3, 4, 6, 1, 8, …)]

Representations

In words: five hundred thirteen thousand two hundred twenty
Ordinal: 513220th
Binary: 1111101010011000100
Octal: 1752304
Hexadecimal: 0x7D4C4
Base64: B9TE
One's complement: 4,294,454,075 (32-bit)
Scientific notation: 5.1322 × 10⁵
As a duration: 513,220 s = 5 days, 22 hours, 33 minutes, 40 seconds

In other bases

ternary (3) 222002000011

quaternary (4) 1331103010

quinary (5) 112410340

senary (6) 15000004

septenary (7) 4235161

nonary (9) 862004

undecimal (11) 320654

duodecimal (12) 209004

tridecimal (13) 14c7a6

tetradecimal (14) d5068

pentadecimal (15) a20ea

As an angle

513,220° = 1,425 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Greek (Milesian): ͵φιγσκʹ
Chinese: 五十一萬三千二百二十
Chinese (financial): 伍拾壹萬參仟貳佰貳拾

In other modern scripts

Eastern Arabic ٥١٣٢٢٠ Devanagari ५१३२२० Bengali ৫১৩২২০ Tamil ௫௧௩௨௨௦ Thai ๕๑๓๒๒๐ Tibetan ༥༡༣༢༢༠ Khmer ៥១៣២២០ Lao ໕໑໓໒໒໐ Burmese ၅၁၃၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513220, here are decompositions:

17 + 513203 = 513220
47 + 513173 = 513220
53 + 513167 = 513220
83 + 513137 = 513220
89 + 513131 = 513220
137 + 513083 = 513220
167 + 513053 = 513220
173 + 513047 = 513220

Showing the first eight; more decompositions exist.

Hex color

#07D4C4

RGB(7, 212, 196)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.196.

Address: 0.7.212.196
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.212.196

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 513,220 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 US513,220 on Google Patents ↗ Look up on USPTO ↗