Live analysis

513,132

513,132 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.).

513,132 (five hundred thirteen thousand one hundred thirty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 61 × 701. Its proper divisors sum to 705,540, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D46C.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

513,120 513,121 513,122 513,123 513,124 513,125 513,126 513,127 513,128 513,129 513,130 513,131 513,132 513,133 513,134 513,135 513,136 513,137 513,138 513,139 513,140 513,141 513,142 513,143 513,144

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Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 90
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 231,315
Square (n²): 263,304,449,424
Cube (n³): 135,109,938,741,835,968
Divisor count: 24
σ(n) — sum of divisors: 1,218,672
φ(n) — Euler's totient: 168,000
Sum of prime factors: 769

Primality

Prime factorization: 2 ² × 3 × 61 × 701

Nearest primes: 513,131 (−1) · 513,137 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 61 · 122 · 183 · 244 · 366 · 701 · 732 · 1402 · 2103 · 2804 · 4206 · 8412 · 42761 · 85522 · 128283 · 171044 · 256566 (half) · 513132

Aliquot sum (sum of proper divisors): 705,540

Factor pairs (a × b = 513,132)

1 × 513132

2 × 256566

3 × 171044

4 × 128283

6 × 85522

12 × 42761

61 × 8412

122 × 4206

183 × 2804

244 × 2103

366 × 1402

701 × 732

First multiples

513,132 · 1,026,264 (double) · 1,539,396 · 2,052,528 · 2,565,660 · 3,078,792 · 3,591,924 · 4,105,056 · 4,618,188 · 5,131,320

Sums & aliquot sequence

As consecutive integers: 171,043 + 171,044 + 171,045 64,138 + 64,139 + … + 64,145 21,369 + 21,370 + … + 21,392 8,382 + 8,383 + … + 8,442

Aliquot sequence: 513,132 → 705,540 → 1,451,580 → 2,927,844 → 4,532,700 → 9,060,180 → 18,034,860 → 32,462,916 → 43,283,916 → 77,569,684 → 58,889,324 → 52,094,500 → 64,373,852 → 52,654,948 → 39,960,344 → 38,909,056 → 43,169,324 — unresolved within range

Continued fraction of √n

√513,132 = [716; (3, 109, 1, 6, 1, 3, 1, 7, 1, 2, 6, 1, 2, 2, 5, 1, 3, 2, 8, 11, 1, 2, 1, 1, …)]

Representations

In words: five hundred thirteen thousand one hundred thirty-two
Ordinal: 513132nd
Binary: 1111101010001101100
Octal: 1752154
Hexadecimal: 0x7D46C
Base64: B9Rs
One's complement: 4,294,454,163 (32-bit)
Scientific notation: 5.13132 × 10⁵
As a duration: 513,132 s = 5 days, 22 hours, 32 minutes, 12 seconds

In other bases

ternary (3) 222001212220

quaternary (4) 1331101230

quinary (5) 112410012

senary (6) 14555340

septenary (7) 4235004

nonary (9) 861786

undecimal (11) 320584

duodecimal (12) 208b50

tridecimal (13) 14c739

tetradecimal (14) d5004

pentadecimal (15) a208c

As an angle

513,132° = 1,425 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵φιγρλβʹ
Chinese: 五十一萬三千一百三十二
Chinese (financial): 伍拾壹萬參仟壹佰參拾貳

In other modern scripts

Eastern Arabic ٥١٣١٣٢ Devanagari ५१३१३२ Bengali ৫১৩১৩২ Tamil ௫௧௩௧௩௨ Thai ๕๑๓๑๓๒ Tibetan ༥༡༣༡༣༢ Khmer ៥១៣១៣២ Lao ໕໑໓໑໓໒ Burmese ၅၁၃၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513132, here are decompositions:

23 + 513109 = 513132
29 + 513103 = 513132
31 + 513101 = 513132
73 + 513059 = 513132
79 + 513053 = 513132
101 + 513031 = 513132
131 + 513001 = 513132
173 + 512959 = 513132

Showing the first eight; more decompositions exist.

Hex color

#07D46C

RGB(7, 212, 108)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.212.108.

Address: 0.7.212.108
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.212.108

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 513,132 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 US513,132 on Google Patents ↗ Look up on USPTO ↗