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513,808

513,808 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.).

513,808 (five hundred thirteen thousand eight hundred eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 17 × 1,889. Its proper divisors sum to 540,812, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D710.

Abundant Number Arithmetic Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
808,315
Square (n²)
263,998,660,864
Cube (n³)
135,644,623,941,210,112
Divisor count
20
σ(n) — sum of divisors
1,054,620
φ(n) — Euler's totient
241,664
Sum of prime factors
1,914

Primality

Prime factorization: 2 4 × 17 × 1889

Nearest primes: 513,781 (−27) · 513,829 (+21)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 17 · 34 · 68 · 136 · 272 · 1889 · 3778 · 7556 · 15112 · 30224 · 32113 · 64226 · 128452 · 256904 (half) · 513808
Aliquot sum (sum of proper divisors): 540,812
Factor pairs (a × b = 513,808)
1 × 513808
2 × 256904
4 × 128452
8 × 64226
16 × 32113
17 × 30224
34 × 15112
68 × 7556
136 × 3778
272 × 1889
First multiples
513,808 · 1,027,616 (double) · 1,541,424 · 2,055,232 · 2,569,040 · 3,082,848 · 3,596,656 · 4,110,464 · 4,624,272 · 5,138,080

Sums & aliquot sequence

As a sum of two squares: 112² + 708² = 432² + 572²
As consecutive integers: 30,216 + 30,217 + … + 30,232 16,041 + 16,042 + … + 16,072 673 + 674 + … + 1,216
Aliquot sequence: 513,808 540,812 423,844 398,684 490,372 388,044 618,276 847,804 645,324 860,460 1,548,996 2,065,356 3,215,556 4,974,444 7,599,936 13,394,688 22,808,640 — unresolved within range

Continued fraction of √n

√513,808 = [716; (1, 4, 9, 1, 3, 10, 1, 16, 1, 3, 1, 2, 2, 4, 1, 4, 1, 3, 1, 1, 1, 3, 4, 1, …)]

Representations

In words
five hundred thirteen thousand eight hundred eight
Ordinal
513808th
Binary
1111101011100010000
Octal
1753420
Hexadecimal
0x7D710
Base64
B9cQ
One's complement
4,294,453,487 (32-bit)
Scientific notation
5.13808 × 10⁵
As a duration
513,808 s = 5 days, 22 hours, 43 minutes, 28 seconds
In other bases
ternary (3) 222002210221
quaternary (4) 1331130100
quinary (5) 112420213
senary (6) 15002424
septenary (7) 4236661
nonary (9) 862727
undecimal (11) 321039
duodecimal (12) 209414
tridecimal (13) 14cb39
tetradecimal (14) d5368
pentadecimal (15) a238d

As an angle

513,808° = 1,427 × 360° + 88°
88° ≈ 1.536 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγωηʹ
Chinese
五十一萬三千八百零八
Chinese (financial)
伍拾壹萬參仟捌佰零捌
In other modern scripts
Eastern Arabic ٥١٣٨٠٨ Devanagari ५१३८०८ Bengali ৫১৩৮০৮ Tamil ௫௧௩௮௦௮ Thai ๕๑๓๘๐๘ Tibetan ༥༡༣༨༠༨ Khmer ៥១៣៨០៨ Lao ໕໑໓໘໐໘ Burmese ၅၁၃၈၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513808, here are decompositions:

  • 41 + 513767 = 513808
  • 47 + 513761 = 513808
  • 59 + 513749 = 513808
  • 89 + 513719 = 513808
  • 167 + 513641 = 513808
  • 389 + 513419 = 513808
  • 401 + 513407 = 513808
  • 461 + 513347 = 513808

Showing the first eight; more decompositions exist.

Hex color
#07D710
RGB(7, 215, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.215.16.

Address
0.7.215.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.215.16

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 513,808 and was likely granted around 1893.

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

Position in π

The digit sequence 513808 first appears in π at position 11,976 of the decimal expansion (the 11,976ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.