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513,442

513,442 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.).

513,442 (five hundred thirteen thousand four hundred forty-two) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 256,721. Written other ways, in hexadecimal, 0x7D5A2.

Cube-Free Deficient Number Odious Number Pernicious Number Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
480
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
244,315
Square (n²)
263,622,687,364
Cube (n³)
135,354,959,845,546,888
Divisor count
4
σ(n) — sum of divisors
770,166
φ(n) — Euler's totient
256,720
Sum of prime factors
256,723

Primality

Prime factorization: 2 × 256721

Nearest primes: 513,439 (−3) · 513,473 (+31)

Divisors & multiples

All divisors (4)
1 · 2 · 256721 (half) · 513442
Aliquot sum (sum of proper divisors): 256,724
Factor pairs (a × b = 513,442)
1 × 513442
2 × 256721
First multiples
513,442 · 1,026,884 (double) · 1,540,326 · 2,053,768 · 2,567,210 · 3,080,652 · 3,594,094 · 4,107,536 · 4,620,978 · 5,134,420

Sums & aliquot sequence

As a sum of two squares: 89² + 711²
As consecutive integers: 128,359 + 128,360 + 128,361 + 128,362
Aliquot sequence: 513,442 256,724 227,200 341,960 444,280 592,520 740,740 1,404,284 1,404,340 2,028,656 2,554,384 3,102,000 8,040,144 15,698,416 14,717,296 16,390,088 19,716,472 — unresolved within range

Continued fraction of √n

√513,442 = [716; (1, 1, 4, 1, 1, 1, 3, 716, 3, 1, 1, 1, 4, 1, 1, 1432)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
five hundred thirteen thousand four hundred forty-two
Ordinal
513442nd
Binary
1111101010110100010
Octal
1752642
Hexadecimal
0x7D5A2
Base64
B9Wi
One's complement
4,294,453,853 (32-bit)
Scientific notation
5.13442 × 10⁵
As a duration
513,442 s = 5 days, 22 hours, 37 minutes, 22 seconds
In other bases
ternary (3) 222002022101
quaternary (4) 1331112202
quinary (5) 112412232
senary (6) 15001014
septenary (7) 4235626
nonary (9) 862271
undecimal (11) 320836
duodecimal (12) 20916a
tridecimal (13) 14c917
tetradecimal (14) d5186
pentadecimal (15) a21e7

As an angle

513,442° = 1,426 × 360° + 82°
82° ≈ 1.431 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φιγυμβʹ
Chinese
五十一萬三千四百四十二
Chinese (financial)
伍拾壹萬參仟肆佰肆拾貳
In other modern scripts
Eastern Arabic ٥١٣٤٤٢ Devanagari ५१३४४२ Bengali ৫১৩৪৪২ Tamil ௫௧௩௪௪௨ Thai ๕๑๓๔๔๒ Tibetan ༥༡༣༤༤༢ Khmer ៥១៣៤៤២ Lao ໕໑໓໔໔໒ Burmese ၅၁၃၄၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513442, here are decompositions:

  • 3 + 513439 = 513442
  • 11 + 513431 = 513442
  • 23 + 513419 = 513442
  • 71 + 513371 = 513442
  • 89 + 513353 = 513442
  • 101 + 513341 = 513442
  • 131 + 513311 = 513442
  • 173 + 513269 = 513442

Showing the first eight; more decompositions exist.

Hex color
#07D5A2
RGB(7, 213, 162)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.213.162.

Address
0.7.213.162
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.213.162

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 513,442 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 513442 first appears in π at position 146,199 of the decimal expansion (the 146,199ordinal-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°.