Live analysis

513,472

513,472 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.).

513,472 (five hundred thirteen thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 71 × 113. Its proper divisors sum to 528,944, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D5C0.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

513,460 513,461 513,462 513,463 513,464 513,465 513,466 513,467 513,468 513,469 513,470 513,471 513,472 513,473 513,474 513,475 513,476 513,477 513,478 513,479 513,480 513,481 513,482 513,483 513,484

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 22
Digit product: 840
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 274,315
Square (n²): 263,653,494,784
Cube (n³): 135,378,687,273,730,048
Divisor count: 28
σ(n) — sum of divisors: 1,042,416
φ(n) — Euler's totient: 250,880
Sum of prime factors: 196

Primality

Prime factorization: 2 ⁶ × 71 × 113

Nearest primes: 513,439 (−33) · 513,473 (+1)

Divisors & multiples

All divisors (28)

1 · 2 · 4 · 8 · 16 · 32 · 64 · 71 · 113 · 142 · 226 · 284 · 452 · 568 · 904 · 1136 · 1808 · 2272 · 3616 · 4544 · 7232 · 8023 · 16046 · 32092 · 64184 · 128368 · 256736 (half) · 513472

Aliquot sum (sum of proper divisors): 528,944

Factor pairs (a × b = 513,472)

1 × 513472

2 × 256736

4 × 128368

8 × 64184

16 × 32092

32 × 16046

64 × 8023

71 × 7232

113 × 4544

142 × 3616

226 × 2272

284 × 1808

452 × 1136

568 × 904

First multiples

513,472 · 1,026,944 (double) · 1,540,416 · 2,053,888 · 2,567,360 · 3,080,832 · 3,594,304 · 4,107,776 · 4,621,248 · 5,134,720

Sums & aliquot sequence

As consecutive integers: 7,197 + 7,198 + … + 7,267 4,488 + 4,489 + … + 4,600 3,948 + 3,949 + … + 4,075

Aliquot sequence: 513,472 → 528,944 → 575,152 → 553,248 → 1,127,340 → 2,292,804 → 3,502,986 → 4,050,102 → 5,207,370 → 9,259,446 → 12,103,242 → 12,143,190 → 17,000,538 → 17,919,942 → 17,919,954 → 26,313,774 → 26,313,786 — unresolved within range

Continued fraction of √n

√513,472 = [716; (1, 1, 3, 10, 1, 10, 5, 22, 5, 10, 1, 10, 3, 1, 1, 1432)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: five hundred thirteen thousand four hundred seventy-two
Ordinal: 513472nd
Binary: 1111101010111000000
Octal: 1752700
Hexadecimal: 0x7D5C0
Base64: B9XA
One's complement: 4,294,453,823 (32-bit)
Scientific notation: 5.13472 × 10⁵
As a duration: 513,472 s = 5 days, 22 hours, 37 minutes, 52 seconds

In other bases

ternary (3) 222002100111

quaternary (4) 1331113000

quinary (5) 112412342

senary (6) 15001104

septenary (7) 4236001

nonary (9) 862314

undecimal (11) 320863

duodecimal (12) 209194

tridecimal (13) 14c93b

tetradecimal (14) d51a8

pentadecimal (15) a2217

As an angle

513,472° = 1,426 × 360° + 112°

112° ≈ 1.955 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵φιγυοβʹ
Chinese: 五十一萬三千四百七十二
Chinese (financial): 伍拾壹萬參仟肆佰柒拾貳

In other modern scripts

Eastern Arabic ٥١٣٤٧٢ Devanagari ५१३४७२ Bengali ৫১৩৪৭২ Tamil ௫௧௩௪௭௨ Thai ๕๑๓๔๗๒ Tibetan ༥༡༣༤༧༢ Khmer ៥១៣៤៧២ Lao ໕໑໓໔໗໒ Burmese ၅၁၃၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513472, here are decompositions:

41 + 513431 = 513472
53 + 513419 = 513472
101 + 513371 = 513472
131 + 513341 = 513472
233 + 513239 = 513472
269 + 513203 = 513472
389 + 513083 = 513472
419 + 513053 = 513472

Showing the first eight; more decompositions exist.

Hex color

#07D5C0

RGB(7, 213, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.192.

Address: 0.7.213.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.213.192

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 513,472 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 US513,472 on Google Patents ↗ Look up on USPTO ↗