Live analysis

513,016

513,016 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.).

513,016 (five hundred thirteen thousand sixteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 9,161. Its proper divisors sum to 586,424, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D3F8.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

513,004 513,005 513,006 513,007 513,008 513,009 513,010 513,011 513,012 513,013 513,014 513,015 513,016 513,017 513,018 513,019 513,020 513,021 513,022 513,023 513,024 513,025 513,026 513,027 513,028

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 19 bits
Reversed: 610,315
Square (n²): 263,185,416,256
Cube (n³): 135,018,329,505,988,096
Divisor count: 16
σ(n) — sum of divisors: 1,099,440
φ(n) — Euler's totient: 219,840
Sum of prime factors: 9,174

Primality

Prime factorization: 2 ³ × 7 × 9161

Nearest primes: 513,013 (−3) · 513,017 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 9161 · 18322 · 36644 · 64127 · 73288 · 128254 · 256508 (half) · 513016

Aliquot sum (sum of proper divisors): 586,424

Factor pairs (a × b = 513,016)

1 × 513016

2 × 256508

4 × 128254

7 × 73288

8 × 64127

14 × 36644

28 × 18322

56 × 9161

First multiples

513,016 · 1,026,032 (double) · 1,539,048 · 2,052,064 · 2,565,080 · 3,078,096 · 3,591,112 · 4,104,128 · 4,617,144 · 5,130,160

Sums & aliquot sequence

As consecutive integers: 73,285 + 73,286 + … + 73,291 32,056 + 32,057 + … + 32,071 4,525 + 4,526 + … + 4,636

Aliquot sequence: 513,016 → 586,424 → 513,136 → 557,976 → 861,864 → 1,292,856 → 1,976,904 → 3,377,406 → 3,377,418 → 4,103,094 → 4,386,426 → 5,423,430 → 7,658,394 → 7,948,038 → 10,219,002 → 10,367,718 → 10,508,682 — unresolved within range

Continued fraction of √n

√513,016 = [716; (3, 1, 45, 2, 5, 1, 2, 2, 2, 3, 1, 2, 1, 5, 2, 2, 2, 1, 1, 1, 8, 2, 1, 1, …)]

Representations

In words: five hundred thirteen thousand sixteen
Ordinal: 513016th
Binary: 1111101001111111000
Octal: 1751770
Hexadecimal: 0x7D3F8
Base64: B9P4
One's complement: 4,294,454,279 (32-bit)
Scientific notation: 5.13016 × 10⁵
As a duration: 513,016 s = 5 days, 22 hours, 30 minutes, 16 seconds

In other bases

ternary (3) 222001201121

quaternary (4) 1331033320

quinary (5) 112404031

senary (6) 14555024

septenary (7) 4234450

nonary (9) 861647

undecimal (11) 320489

duodecimal (12) 208a74

tridecimal (13) 14c67a

tetradecimal (14) d4d60

pentadecimal (15) a2011

As an angle

513,016° = 1,425 × 360° + 16°

16° ≈ 0.279 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵φιγιϛʹ
Chinese: 五十一萬三千零一十六
Chinese (financial): 伍拾壹萬參仟零壹拾陸

In other modern scripts

Eastern Arabic ٥١٣٠١٦ Devanagari ५१३०१६ Bengali ৫১৩০১৬ Tamil ௫௧௩௦௧௬ Thai ๕๑๓๐๑๖ Tibetan ༥༡༣༠༡༦ Khmer ៥១៣០១៦ Lao ໕໑໓໐໑໖ Burmese ၅၁၃၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513016, here are decompositions:

3 + 513013 = 513016
17 + 512999 = 513016
89 + 512927 = 513016
113 + 512903 = 513016
167 + 512849 = 513016
173 + 512843 = 513016
197 + 512819 = 513016
269 + 512747 = 513016

Showing the first eight; more decompositions exist.

Hex color

#07D3F8

RGB(7, 211, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.211.248.

Address: 0.7.211.248
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.211.248

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 513,016 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 US513,016 on Google Patents ↗ Look up on USPTO ↗