Live analysis

513,988

513,988 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.).

513,988 (five hundred thirteen thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 19 × 6,763. Written other ways, in hexadecimal, 0x7D7C4.

Cube-Free Deficient Number Evil Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

513,976 513,977 513,978 513,979 513,980 513,981 513,982 513,983 513,984 513,985 513,986 513,987 513,988 513,989 513,990 513,991 513,992 513,993 513,994 513,995 513,996 513,997 513,998 513,999 514,000

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Properties

Parity: Even
Digit count: 6
Digit sum: 34
Digit product: 8,640
Digital root: 7
Palindrome: No
Bit width: 19 bits
Reversed: 889,315
Square (n²): 264,183,664,144
Cube (n³): 135,787,233,166,046,272
Divisor count: 12
σ(n) — sum of divisors: 946,960
φ(n) — Euler's totient: 243,432
Sum of prime factors: 6,786

Primality

Prime factorization: 2 ² × 19 × 6763

Nearest primes: 513,977 (−11) · 513,991 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 19 · 38 · 76 · 6763 · 13526 · 27052 · 128497 · 256994 (half) · 513988

Aliquot sum (sum of proper divisors): 432,972

Factor pairs (a × b = 513,988)

1 × 513988

2 × 256994

4 × 128497

19 × 27052

38 × 13526

76 × 6763

First multiples

513,988 · 1,027,976 (double) · 1,541,964 · 2,055,952 · 2,569,940 · 3,083,928 · 3,597,916 · 4,111,904 · 4,625,892 · 5,139,880

Sums & aliquot sequence

As consecutive integers: 64,245 + 64,246 + … + 64,252 27,043 + 27,044 + … + 27,061 3,306 + 3,307 + … + 3,457

Aliquot sequence: 513,988 → 432,972 → 754,228 → 575,184 → 978,288 → 1,588,512 → 2,581,584 → 4,087,632 → 6,472,208 → 6,067,726 → 4,882,034 → 2,882,086 → 1,467,434 → 823,894 → 411,950 → 552,274 → 276,140 — unresolved within range

Continued fraction of √n

√513,988 = [716; (1, 13, 5, 14, 1, 2, 1, 4, 1, 5, 1, 9, 1, 1, 1, 1, 2, 1, 1, 3, 6, 1, 1, 14, …)]

Representations

In words: five hundred thirteen thousand nine hundred eighty-eight
Ordinal: 513988th
Binary: 1111101011111000100
Octal: 1753704
Hexadecimal: 0x7D7C4
Base64: B9fE
One's complement: 4,294,453,307 (32-bit)
Scientific notation: 5.13988 × 10⁵
As a duration: 513,988 s = 5 days, 22 hours, 46 minutes, 28 seconds

In other bases

ternary (3) 222010001121

quaternary (4) 1331133010

quinary (5) 112421423

senary (6) 15003324

septenary (7) 4240336

nonary (9) 863047

undecimal (11) 321192

duodecimal (12) 209544

tridecimal (13) 14cc47

tetradecimal (14) d5456

pentadecimal (15) a245d

As an angle

513,988° = 1,427 × 360° + 268°

268° ≈ 4.677 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵φιγϡπηʹ
Chinese: 五十一萬三千九百八十八
Chinese (financial): 伍拾壹萬參仟玖佰捌拾捌

In other modern scripts

Eastern Arabic ٥١٣٩٨٨ Devanagari ५१३९८८ Bengali ৫১৩৯৮৮ Tamil ௫௧௩௯௮௮ Thai ๕๑๓๙๘๘ Tibetan ༥༡༣༩༨༨ Khmer ៥១៣៩៨៨ Lao ໕໑໓໙໘໘ Burmese ၅၁၃၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513988, here are decompositions:

11 + 513977 = 513988
71 + 513917 = 513988
89 + 513899 = 513988
107 + 513881 = 513988
149 + 513839 = 513988
227 + 513761 = 513988
239 + 513749 = 513988
257 + 513731 = 513988

Showing the first eight; more decompositions exist.

Hex color

#07D7C4

RGB(7, 215, 196)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.215.196.

Address: 0.7.215.196
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.215.196

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 513,988 and was likely granted around 1894.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US513,988 on Google Patents ↗ Look up on USPTO ↗