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509,801

509,801 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.).

509,801 (five hundred nine thousand eight hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7C769.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
108,905
Square (n²)
259,897,059,601
Cube (n³)
132,495,780,881,649,401
Divisor count
2
σ(n) — sum of divisors
509,802
φ(n) — Euler's totient
509,800

Primality

509,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 509801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 509,801)
1 × 509801
First multiples
509,801 · 1,019,602 (double) · 1,529,403 · 2,039,204 · 2,549,005 · 3,058,806 · 3,568,607 · 4,078,408 · 4,588,209 · 5,098,010

Sums & aliquot sequence

As a sum of two squares: 485² + 524²
As consecutive integers: 254,900 + 254,901

Continued fraction of √n

√509,801 = [714; (285, 1, 1, 1, 1, 56, 1, 1, 11, 1, 10, 1, 1, 61, 1, 1, 3, 3, 12, 8, 1, 5, 2, 2, …)]

Representations

In words
five hundred nine thousand eight hundred one
Ordinal
509801st
Binary
1111100011101101001
Octal
1743551
Hexadecimal
0x7C769
Base64
B8dp
One's complement
4,294,457,494 (32-bit)
Scientific notation
5.09801 × 10⁵
As a duration
509,801 s = 5 days, 21 hours, 36 minutes, 41 seconds
In other bases
ternary (3) 221220022112
quaternary (4) 1330131221
quinary (5) 112303201
senary (6) 14532105
septenary (7) 4222205
nonary (9) 856275
undecimal (11) 319026
duodecimal (12) 207035
tridecimal (13) 14b076
tetradecimal (14) d3b05
pentadecimal (15) a10bb

As an angle

509,801° = 1,416 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵φθωαʹ
Chinese
五十萬九千八百零一
Chinese (financial)
伍拾萬玖仟捌佰零壹
In other modern scripts
Eastern Arabic ٥٠٩٨٠١ Devanagari ५०९८०१ Bengali ৫০৯৮০১ Tamil ௫௦௯௮௦௧ Thai ๕๐๙๘๐๑ Tibetan ༥༠༩༨༠༡ Khmer ៥០៩៨០១ Lao ໕໐໙໘໐໑ Burmese ၅၀၉၈၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 509797.

Hex color
#07C769
RGB(7, 199, 105)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.199.105.

Address
0.7.199.105
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.199.105

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 509,801 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 509801 first appears in π at position 160,356 of the decimal expansion (the 160,356ordinal-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.