Live analysis

513,372

513,372 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.).

513,372 (five hundred thirteen thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 179 × 239. Its proper divisors sum to 696,228, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D55C.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Pronic / Oblong Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

513,360 513,361 513,362 513,363 513,364 513,365 513,366 513,367 513,368 513,369 513,370 513,371 513,372 513,373 513,374 513,375 513,376 513,377 513,378 513,379 513,380 513,381 513,382 513,383 513,384

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Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 630
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 273,315
Square (n²): 263,550,810,384
Cube (n³): 135,299,606,628,454,848
Divisor count: 24
σ(n) — sum of divisors: 1,209,600
φ(n) — Euler's totient: 169,456
Sum of prime factors: 425

Primality

Prime factorization: 2 ² × 3 × 179 × 239

Nearest primes: 513,371 (−1) · 513,397 (+25)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 179 · 239 · 358 · 478 · 537 · 716 · 717 · 956 · 1074 · 1434 · 2148 · 2868 · 42781 · 85562 · 128343 · 171124 · 256686 (half) · 513372

Aliquot sum (sum of proper divisors): 696,228

Factor pairs (a × b = 513,372)

1 × 513372

2 × 256686

3 × 171124

4 × 128343

6 × 85562

12 × 42781

179 × 2868

239 × 2148

358 × 1434

478 × 1074

537 × 956

716 × 717

First multiples

513,372 · 1,026,744 (double) · 1,540,116 · 2,053,488 · 2,566,860 · 3,080,232 · 3,593,604 · 4,106,976 · 4,620,348 · 5,133,720

Sums & aliquot sequence

As consecutive integers: 171,123 + 171,124 + 171,125 64,168 + 64,169 + … + 64,175 21,379 + 21,380 + … + 21,402 2,779 + 2,780 + … + 2,957

Aliquot sequence: 513,372 → 696,228 → 1,053,660 → 2,073,156 → 2,921,148 → 4,607,100 → 9,836,420 → 12,698,428 → 9,523,828 → 7,142,878 → 3,571,442 → 2,638,990 → 2,111,210 → 1,752,382 → 876,194 → 557,614 → 278,810 — unresolved within range

Continued fraction of √n

√513,372 = [716; (2, 1432)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: five hundred thirteen thousand three hundred seventy-two
Ordinal: 513372nd
Binary: 1111101010101011100
Octal: 1752534
Hexadecimal: 0x7D55C
Base64: B9Vc
One's complement: 4,294,453,923 (32-bit)
Scientific notation: 5.13372 × 10⁵
As a duration: 513,372 s = 5 days, 22 hours, 36 minutes, 12 seconds

In other bases

ternary (3) 222002012210

quaternary (4) 1331111130

quinary (5) 112411442

senary (6) 15000420

septenary (7) 4235466

nonary (9) 862183

undecimal (11) 320782

duodecimal (12) 209110

tridecimal (13) 14c892

tetradecimal (14) d5136

pentadecimal (15) a219c

As an angle

513,372° = 1,426 × 360° + 12°

12° ≈ 0.209 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵φιγτοβʹ
Chinese: 五十一萬三千三百七十二
Chinese (financial): 伍拾壹萬參仟參佰柒拾貳

In other modern scripts

Eastern Arabic ٥١٣٣٧٢ Devanagari ५१३३७२ Bengali ৫১৩৩৭২ Tamil ௫௧௩௩௭௨ Thai ๕๑๓๓๗๒ Tibetan ༥༡༣༣༧༢ Khmer ៥១៣៣៧២ Lao ໕໑໓໓໗໒ Burmese ၅၁၃၃၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513372, here are decompositions:

5 + 513367 = 513372
19 + 513353 = 513372
31 + 513341 = 513372
53 + 513319 = 513372
59 + 513313 = 513372
61 + 513311 = 513372
89 + 513283 = 513372
103 + 513269 = 513372

Showing the first eight; more decompositions exist.

Hex color

#07D55C

RGB(7, 213, 92)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.92.

Address: 0.7.213.92
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.213.92

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 513,372 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 US513,372 on Google Patents ↗ Look up on USPTO ↗