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513,834

513,834 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.).

513,834 (five hundred thirteen thousand eight hundred thirty-four) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 85,639. Its proper divisors sum to 513,846, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D72A.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,440
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
438,315
Square (n²)
264,025,379,556
Cube (n³)
135,665,216,878,777,704
Divisor count
8
σ(n) — sum of divisors
1,027,680
φ(n) — Euler's totient
171,276
Sum of prime factors
85,644

Primality

Prime factorization: 2 × 3 × 85639

Nearest primes: 513,829 (−5) · 513,839 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 85639 · 171278 · 256917 (half) · 513834
Aliquot sum (sum of proper divisors): 513,846
Factor pairs (a × b = 513,834)
1 × 513834
2 × 256917
3 × 171278
6 × 85639
First multiples
513,834 · 1,027,668 (double) · 1,541,502 · 2,055,336 · 2,569,170 · 3,083,004 · 3,596,838 · 4,110,672 · 4,624,506 · 5,138,340

Sums & aliquot sequence

As consecutive integers: 171,277 + 171,278 + 171,279 128,457 + 128,458 + 128,459 + 128,460 42,814 + 42,815 + … + 42,825
Aliquot sequence: 513,834 513,846 599,526 768,594 768,606 798,258 807,918 902,010 1,290,822 1,695,738 2,004,198 2,945,226 2,989,878 3,304,842 3,404,310 7,240,170 13,495,830 — unresolved within range

Continued fraction of √n

√513,834 = [716; (1, 4, 1, 1, 1, 1, 1, 6, 1, 1, 2, 1, 1, 4, 1, 2, 2, 2, 1, 2, 1, 2, 1, 17, …)]

Representations

In words
five hundred thirteen thousand eight hundred thirty-four
Ordinal
513834th
Binary
1111101011100101010
Octal
1753452
Hexadecimal
0x7D72A
Base64
B9cq
One's complement
4,294,453,461 (32-bit)
Scientific notation
5.13834 × 10⁵
As a duration
513,834 s = 5 days, 22 hours, 43 minutes, 54 seconds
In other bases
ternary (3) 222002211220
quaternary (4) 1331130222
quinary (5) 112420314
senary (6) 15002510
septenary (7) 4240026
nonary (9) 862756
undecimal (11) 321062
duodecimal (12) 209436
tridecimal (13) 14cb59
tetradecimal (14) d5386
pentadecimal (15) a23a9

As an angle

513,834° = 1,427 × 360° + 114°
114° ≈ 1.99 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φιγωλδʹ
Chinese
五十一萬三千八百三十四
Chinese (financial)
伍拾壹萬參仟捌佰參拾肆
In other modern scripts
Eastern Arabic ٥١٣٨٣٤ Devanagari ५१३८३४ Bengali ৫১৩৮৩৪ Tamil ௫௧௩௮௩௪ Thai ๕๑๓๘๓๔ Tibetan ༥༡༣༨༣༤ Khmer ៥១៣៨៣៤ Lao ໕໑໓໘໓໔ Burmese ၅၁၃၈၃၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513834, here are decompositions:

  • 5 + 513829 = 513834
  • 53 + 513781 = 513834
  • 67 + 513767 = 513834
  • 73 + 513761 = 513834
  • 103 + 513731 = 513834
  • 107 + 513727 = 513834
  • 137 + 513697 = 513834
  • 151 + 513683 = 513834

Showing the first eight; more decompositions exist.

Hex color
#07D72A
RGB(7, 215, 42)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.215.42.

Address
0.7.215.42
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.215.42

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 513,834 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 513834 first appears in π at position 654,712 of the decimal expansion (the 654,712ordinal-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°.