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513,838

513,838 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.).

513,838 (five hundred thirteen thousand eight hundred thirty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 13 × 19,763. Written other ways, in hexadecimal, 0x7D72E.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
2,880
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
838,315
Square (n²)
264,029,490,244
Cube (n³)
135,668,385,207,996,472
Divisor count
8
σ(n) — sum of divisors
830,088
φ(n) — Euler's totient
237,144
Sum of prime factors
19,778

Primality

Prime factorization: 2 × 13 × 19763

Nearest primes: 513,829 (−9) · 513,839 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 13 · 26 · 19763 · 39526 · 256919 (half) · 513838
Aliquot sum (sum of proper divisors): 316,250
Factor pairs (a × b = 513,838)
1 × 513838
2 × 256919
13 × 39526
26 × 19763
First multiples
513,838 · 1,027,676 (double) · 1,541,514 · 2,055,352 · 2,569,190 · 3,083,028 · 3,596,866 · 4,110,704 · 4,624,542 · 5,138,380

Sums & aliquot sequence

As consecutive integers: 128,458 + 128,459 + 128,460 + 128,461 39,520 + 39,521 + … + 39,532 9,856 + 9,857 + … + 9,907
Aliquot sequence: 513,838 316,250 358,534 243,386 216,262 108,134 66,586 42,116 31,594 15,800 21,400 28,820 37,708 34,364 32,668 24,508 22,364 — unresolved within range

Continued fraction of √n

√513,838 = [716; (1, 4, 1, 2, 2, 10, 1, 2, 4, 1, 2, 1, 5, 1, 5, 5, 16, 3, 1, 1, 54, 1, 1, 3, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
five hundred thirteen thousand eight hundred thirty-eight
Ordinal
513838th
Binary
1111101011100101110
Octal
1753456
Hexadecimal
0x7D72E
Base64
B9cu
One's complement
4,294,453,457 (32-bit)
Scientific notation
5.13838 × 10⁵
As a duration
513,838 s = 5 days, 22 hours, 43 minutes, 58 seconds
In other bases
ternary (3) 222002212001
quaternary (4) 1331130232
quinary (5) 112420323
senary (6) 15002514
septenary (7) 4240033
nonary (9) 862761
undecimal (11) 321066
duodecimal (12) 20943a
tridecimal (13) 14cb60
tetradecimal (14) d538a
pentadecimal (15) a23ad

As an angle

513,838° = 1,427 × 360° + 118°
118° ≈ 2.059 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγωληʹ
Chinese
五十一萬三千八百三十八
Chinese (financial)
伍拾壹萬參仟捌佰參拾捌
In other modern scripts
Eastern Arabic ٥١٣٨٣٨ Devanagari ५१३८३८ Bengali ৫১৩৮৩৮ Tamil ௫௧௩௮௩௮ Thai ๕๑๓๘๓๘ Tibetan ༥༡༣༨༣༨ Khmer ៥១៣៨៣៨ Lao ໕໑໓໘໓໘ Burmese ၅၁၃၈၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513838, here are decompositions:

  • 71 + 513767 = 513838
  • 89 + 513749 = 513838
  • 107 + 513731 = 513838
  • 197 + 513641 = 513838
  • 359 + 513479 = 513838
  • 419 + 513419 = 513838
  • 431 + 513407 = 513838
  • 467 + 513371 = 513838

Showing the first eight; more decompositions exist.

Hex color
#07D72E
RGB(7, 215, 46)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.215.46.

Address
0.7.215.46
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.215.46

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 513,838 and was likely granted around 1893.

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

Related reading

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