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520,409

520,409 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.).

520,409 (five hundred twenty thousand four hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7F0D9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
904,025
Square (n²)
270,825,527,281
Cube (n³)
140,940,041,826,777,929
Divisor count
2
σ(n) — sum of divisors
520,410
φ(n) — Euler's totient
520,408

Primality

520,409 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 520409
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 520,409)
1 × 520409
First multiples
520,409 · 1,040,818 (double) · 1,561,227 · 2,081,636 · 2,602,045 · 3,122,454 · 3,642,863 · 4,163,272 · 4,683,681 · 5,204,090

Sums & aliquot sequence

As a sum of two squares: 355² + 628²
As consecutive integers: 260,204 + 260,205

Continued fraction of √n

√520,409 = [721; (2, 1, 1, 5, 1, 5, 3, 2, 3, 2, 2, 7, 6, 1, 35, 4, 1, 3, 3, 1, 4, 35, 1, 6, …)]

Period length 37 — the block in parentheses repeats forever.

Representations

In words
five hundred twenty thousand four hundred nine
Ordinal
520409th
Binary
1111111000011011001
Octal
1770331
Hexadecimal
0x7F0D9
Base64
B/DZ
One's complement
4,294,446,886 (32-bit)
Scientific notation
5.20409 × 10⁵
As a duration
520,409 s = 6 days, 33 minutes, 29 seconds
In other bases
ternary (3) 222102212102
quaternary (4) 1333003121
quinary (5) 113123114
senary (6) 15053145
septenary (7) 4265141
nonary (9) 872772
undecimal (11) 325a9a
duodecimal (12) 2111b5
tridecimal (13) 152b46
tetradecimal (14) d7921
pentadecimal (15) a42de

As an angle

520,409° = 1,445 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φκυθʹ
Chinese
五十二萬零四百零九
Chinese (financial)
伍拾貳萬零肆佰零玖
In other modern scripts
Eastern Arabic ٥٢٠٤٠٩ Devanagari ५२०४०९ Bengali ৫২০৪০৯ Tamil ௫௨௦௪௦௯ Thai ๕๒๐๔๐๙ Tibetan ༥༢༠༤༠༩ Khmer ៥២០៤០៩ Lao ໕໒໐໔໐໙ Burmese ၅၂၀၄၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 520411.

Hex color
#07F0D9
RGB(7, 240, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.240.217.

Address
0.7.240.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.240.217

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 520,409 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 520409 first appears in π at position 304,478 of the decimal expansion (the 304,478ordinal-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.