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509,329

509,329 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.).

509,329 (five hundred nine thousand three hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7C591.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
0
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
923,905
Square (n²)
259,416,030,241
Cube (n³)
132,128,107,266,618,289
Divisor count
2
σ(n) — sum of divisors
509,330
φ(n) — Euler's totient
509,328

Primality

509,329 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 509329
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 509,329)
1 × 509329
First multiples
509,329 · 1,018,658 (double) · 1,527,987 · 2,037,316 · 2,546,645 · 3,055,974 · 3,565,303 · 4,074,632 · 4,583,961 · 5,093,290

Sums & aliquot sequence

As a sum of two squares: 420² + 577²
As consecutive integers: 254,664 + 254,665

Continued fraction of √n

√509,329 = [713; (1, 2, 17, 1, 1, 29, 4, 2, 94, 1, 2, 2, 6, 1, 29, 1, 1, 67, 2, 5, 1, 5, 1, 1, …)]

Representations

In words
five hundred nine thousand three hundred twenty-nine
Ordinal
509329th
Binary
1111100010110010001
Octal
1742621
Hexadecimal
0x7C591
Base64
B8WR
One's complement
4,294,457,966 (32-bit)
Scientific notation
5.09329 × 10⁵
As a duration
509,329 s = 5 days, 21 hours, 28 minutes, 49 seconds
In other bases
ternary (3) 221212200001
quaternary (4) 1330112101
quinary (5) 112244304
senary (6) 14530001
septenary (7) 4220632
nonary (9) 855601
undecimal (11) 318737
duodecimal (12) 206901
tridecimal (13) 14aaa2
tetradecimal (14) d3889
pentadecimal (15) a0da4

As an angle

509,329° = 1,414 × 360° + 289°
289° ≈ 5.044 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φθτκθʹ
Chinese
五十萬九千三百二十九
Chinese (financial)
伍拾萬玖仟參佰貳拾玖
In other modern scripts
Eastern Arabic ٥٠٩٣٢٩ Devanagari ५०९३२९ Bengali ৫০৯৩২৯ Tamil ௫௦௯௩௨௯ Thai ๕๐๙๓๒๙ Tibetan ༥༠༩༣༢༩ Khmer ៥០៩៣២៩ Lao ໕໐໙໓໒໙ Burmese ၅၀၉၃၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#07C591
RGB(7, 197, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.197.145.

Address
0.7.197.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.197.145

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 509,329 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 509329 first appears in π at position 361,514 of the decimal expansion (the 361,514ordinal-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.