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506,501

506,501 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.).

506,501 (five hundred six thousand five hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7BA85.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Self Number Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
105,605
Square (n²)
256,543,263,001
Cube (n³)
129,939,419,253,269,501
Divisor count
2
σ(n) — sum of divisors
506,502
φ(n) — Euler's totient
506,500

Primality

506,501 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 506501
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 506,501)
1 × 506501
First multiples
506,501 · 1,013,002 (double) · 1,519,503 · 2,026,004 · 2,532,505 · 3,039,006 · 3,545,507 · 4,052,008 · 4,558,509 · 5,065,010

Sums & aliquot sequence

As a sum of two squares: 49² + 710²
As consecutive integers: 253,250 + 253,251

Continued fraction of √n

√506,501 = [711; (1, 2, 4, 1, 2, 9, 14, 7, 1, 7, 2, 1, 1, 61, 3, 2, 3, 1, 1, 3, 9, 1, 1, 6, …)]

Representations

In words
five hundred six thousand five hundred one
Ordinal
506501st
Binary
1111011101010000101
Octal
1735205
Hexadecimal
0x7BA85
Base64
B7qF
One's complement
4,294,460,794 (32-bit)
Scientific notation
5.06501 × 10⁵
As a duration
506,501 s = 5 days, 20 hours, 41 minutes, 41 seconds
In other bases
ternary (3) 221201210022
quaternary (4) 1323222011
quinary (5) 112202001
senary (6) 14504525
septenary (7) 4206452
nonary (9) 851708
undecimal (11) 3165a6
duodecimal (12) 205145
tridecimal (13) 149708
tetradecimal (14) d2829
pentadecimal (15) a011b

As an angle

506,501° = 1,406 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵φϛφαʹ
Chinese
五十萬六千五百零一
Chinese (financial)
伍拾萬陸仟伍佰零壹
In other modern scripts
Eastern Arabic ٥٠٦٥٠١ Devanagari ५०६५०१ Bengali ৫০৬৫০১ Tamil ௫௦௬௫௦௧ Thai ๕๐๖๕๐๑ Tibetan ༥༠༦༥༠༡ Khmer ៥០៦៥០១ Lao ໕໐໖໕໐໑ Burmese ၅၀၆၅၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 506507.

Hex color
#07BA85
RGB(7, 186, 133)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.186.133.

Address
0.7.186.133
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.186.133

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 506,501 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.