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513,842

513,842 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.).

513,842 (five hundred thirteen thousand eight hundred forty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 7 × 17² × 127. Written other ways, in hexadecimal, 0x7D732.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
960
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
248,315
Square (n²)
264,033,600,964
Cube (n³)
135,671,553,586,543,688
Divisor count
24
σ(n) — sum of divisors
943,104
φ(n) — Euler's totient
205,632
Sum of prime factors
170

Primality

Prime factorization: 2 × 7 × 17 2 × 127

Nearest primes: 513,841 (−1) · 513,871 (+29)

Divisors & multiples

All divisors (24)
1 · 2 · 7 · 14 · 17 · 34 · 119 · 127 · 238 · 254 · 289 · 578 · 889 · 1778 · 2023 · 2159 · 4046 · 4318 · 15113 · 30226 · 36703 · 73406 · 256921 (half) · 513842
Aliquot sum (sum of proper divisors): 429,262
Factor pairs (a × b = 513,842)
1 × 513842
2 × 256921
7 × 73406
14 × 36703
17 × 30226
34 × 15113
119 × 4318
127 × 4046
238 × 2159
254 × 2023
289 × 1778
578 × 889
First multiples
513,842 · 1,027,684 (double) · 1,541,526 · 2,055,368 · 2,569,210 · 3,083,052 · 3,596,894 · 4,110,736 · 4,624,578 · 5,138,420

Sums & aliquot sequence

As consecutive integers: 128,459 + 128,460 + 128,461 + 128,462 73,403 + 73,404 + … + 73,409 30,218 + 30,219 + … + 30,234 18,338 + 18,339 + … + 18,365
Aliquot sequence: 513,842 429,262 214,634 153,334 76,670 86,626 43,316 57,232 73,526 38,194 24,392 21,358 11,402 5,704 5,816 5,104 6,056 — unresolved within range

Continued fraction of √n

√513,842 = [716; (1, 4, 1, 4, 7, 1, 5, 1, 1, 4, 2, 2, 1, 2, 5, 4, 1, 3, 2, 3, 3, 4, 1, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
five hundred thirteen thousand eight hundred forty-two
Ordinal
513842nd
Binary
1111101011100110010
Octal
1753462
Hexadecimal
0x7D732
Base64
B9cy
One's complement
4,294,453,453 (32-bit)
Scientific notation
5.13842 × 10⁵
As a duration
513,842 s = 5 days, 22 hours, 44 minutes, 2 seconds
In other bases
ternary (3) 222002212012
quaternary (4) 1331130302
quinary (5) 112420332
senary (6) 15002522
septenary (7) 4240040
nonary (9) 862765
undecimal (11) 32106a
duodecimal (12) 209442
tridecimal (13) 14cb64
tetradecimal (14) d5390
pentadecimal (15) a23b2

As an angle

513,842° = 1,427 × 360° + 122°
122° ≈ 2.129 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φιγωμβʹ
Chinese
五十一萬三千八百四十二
Chinese (financial)
伍拾壹萬參仟捌佰肆拾貳
In other modern scripts
Eastern Arabic ٥١٣٨٤٢ Devanagari ५१३८४२ Bengali ৫১৩৮৪২ Tamil ௫௧௩௮௪௨ Thai ๕๑๓๘๔๒ Tibetan ༥༡༣༨༤༢ Khmer ៥១៣៨៤២ Lao ໕໑໓໘໔໒ Burmese ၅၁၃၈၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513842, here are decompositions:

  • 3 + 513839 = 513842
  • 13 + 513829 = 513842
  • 61 + 513781 = 513842
  • 73 + 513769 = 513842
  • 103 + 513739 = 513842
  • 151 + 513691 = 513842
  • 163 + 513679 = 513842
  • 193 + 513649 = 513842

Showing the first eight; more decompositions exist.

Hex color
#07D732
RGB(7, 215, 50)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.215.50.

Address
0.7.215.50
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.215.50

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 513,842 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 513842 first appears in π at position 493,746 of the decimal expansion (the 493,746ordinal-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°.