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520,309

520,309 is a prime, odd.

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.).

520,309 (five hundred twenty thousand three hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7F075.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
903,025
Square (n²)
270,721,455,481
Cube (n³)
140,858,809,779,863,629
Divisor count
2
σ(n) — sum of divisors
520,310
φ(n) — Euler's totient
520,308

Primality

520,309 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 520309
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 520,309)
1 × 520309
First multiples
520,309 · 1,040,618 (double) · 1,560,927 · 2,081,236 · 2,601,545 · 3,121,854 · 3,642,163 · 4,162,472 · 4,682,781 · 5,203,090

Sums & aliquot sequence

As a sum of two squares: 422² + 585²
As consecutive integers: 260,154 + 260,155

Continued fraction of √n

√520,309 = [721; (3, 12, 4, 1, 2, 1, 2, 17, 62, 1, 1, 1, 287, 1, 6, 2, 2, 23, 1, 1, 1, 3, 3, 4, …)]

Representations

In words
five hundred twenty thousand three hundred nine
Ordinal
520309th
Binary
1111111000001110101
Octal
1770165
Hexadecimal
0x7F075
Base64
B/B1
One's complement
4,294,446,986 (32-bit)
Scientific notation
5.20309 × 10⁵
As a duration
520,309 s = 6 days, 31 minutes, 49 seconds
In other bases
ternary (3) 222102201201
quaternary (4) 1333001311
quinary (5) 113122214
senary (6) 15052501
septenary (7) 4264636
nonary (9) 872651
undecimal (11) 325a09
duodecimal (12) 211131
tridecimal (13) 152a9a
tetradecimal (14) d788d
pentadecimal (15) a4274

As an angle

520,309° = 1,445 × 360° + 109°
109° ≈ 1.902 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φκτθʹ
Chinese
五十二萬零三百零九
Chinese (financial)
伍拾貳萬零參佰零玖
In other modern scripts
Eastern Arabic ٥٢٠٣٠٩ Devanagari ५२०३०९ Bengali ৫২০৩০৯ Tamil ௫௨௦௩௦௯ Thai ๕๒๐๓๐๙ Tibetan ༥༢༠༣༠༩ Khmer ៥២០៣០៩ Lao ໕໒໐໓໐໙ Burmese ၅၂၀၃၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 520307, cousin with 520313.

Hex color
#07F075
RGB(7, 240, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.240.117.

Address
0.7.240.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.240.117

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 520,309 and was likely granted around 1894.

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

Position in π

The digit sequence 520309 first appears in π at position 779,413 of the decimal expansion (the 779,413ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.