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505,301

505,301 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.).

505,301 (five hundred five thousand three hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7B5D5.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
103,505
Square (n²)
255,329,100,601
Cube (n³)
129,018,049,862,785,901
Divisor count
2
σ(n) — sum of divisors
505,302
φ(n) — Euler's totient
505,300

Primality

505,301 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 505301
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 505,301)
1 × 505301
First multiples
505,301 · 1,010,602 (double) · 1,515,903 · 2,021,204 · 2,526,505 · 3,031,806 · 3,537,107 · 4,042,408 · 4,547,709 · 5,053,010

Sums & aliquot sequence

As a sum of two squares: 290² + 649²
As consecutive integers: 252,650 + 252,651

Continued fraction of √n

√505,301 = [710; (1, 5, 2, 6, 4, 11, 4, 2, 4, 1, 5, 4, 3, 1, 1, 21, 3, 3, 1, 1, 1, 2, 1, 1, …)]

Representations

In words
five hundred five thousand three hundred one
Ordinal
505301st
Binary
1111011010111010101
Octal
1732725
Hexadecimal
0x7B5D5
Base64
B7XV
One's complement
4,294,461,994 (32-bit)
Scientific notation
5.05301 × 10⁵
As a duration
505,301 s = 5 days, 20 hours, 21 minutes, 41 seconds
In other bases
ternary (3) 221200010212
quaternary (4) 1323113111
quinary (5) 112132201
senary (6) 14455205
septenary (7) 4203116
nonary (9) 850125
undecimal (11) 315705
duodecimal (12) 204505
tridecimal (13) 148cc4
tetradecimal (14) d220d
pentadecimal (15) 9eabb

As an angle

505,301° = 1,403 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺
Greek (Milesian)
͵φεταʹ
Chinese
五十萬五千三百零一
Chinese (financial)
伍拾萬伍仟參佰零壹
In other modern scripts
Eastern Arabic ٥٠٥٣٠١ Devanagari ५०५३०१ Bengali ৫০৫৩০১ Tamil ௫௦௫௩௦௧ Thai ๕๐๕๓๐๑ Tibetan ༥༠༥༣༠༡ Khmer ៥០៥៣០១ Lao ໕໐໕໓໐໑ Burmese ၅၀၅၃၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#07B5D5
RGB(7, 181, 213)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.181.213.

Address
0.7.181.213
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.181.213

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 505,301 and was likely granted around 1893.

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

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.