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506,729

506,729 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.).

506,729 (five hundred six thousand seven 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, 0x7BB69.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
927,605
Square (n²)
256,774,279,441
Cube (n³)
130,114,973,846,858,489
Divisor count
2
σ(n) — sum of divisors
506,730
φ(n) — Euler's totient
506,728

Primality

506,729 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 506729
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 506,729)
1 × 506729
First multiples
506,729 · 1,013,458 (double) · 1,520,187 · 2,026,916 · 2,533,645 · 3,040,374 · 3,547,103 · 4,053,832 · 4,560,561 · 5,067,290

Sums & aliquot sequence

As a sum of two squares: 220² + 677²
As consecutive integers: 253,364 + 253,365

Continued fraction of √n

√506,729 = [711; (1, 5, 1, 1, 1, 1, 1, 5, 1, 3, 5, 8, 1, 7, 5, 19, 1, 5, 1, 177, 9, 2, 2, 1, …)]

Representations

In words
five hundred six thousand seven hundred twenty-nine
Ordinal
506729th
Binary
1111011101101101001
Octal
1735551
Hexadecimal
0x7BB69
Base64
B7tp
One's complement
4,294,460,566 (32-bit)
Scientific notation
5.06729 × 10⁵
As a duration
506,729 s = 5 days, 20 hours, 45 minutes, 29 seconds
In other bases
ternary (3) 221202002202
quaternary (4) 1323231221
quinary (5) 112203404
senary (6) 14505545
septenary (7) 4210226
nonary (9) 852082
undecimal (11) 316793
duodecimal (12) 2052b5
tridecimal (13) 149852
tetradecimal (14) d294d
pentadecimal (15) a021e

As an angle

506,729° = 1,407 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φϛψκθʹ
Chinese
五十萬六千七百二十九
Chinese (financial)
伍拾萬陸仟柒佰貳拾玖
In other modern scripts
Eastern Arabic ٥٠٦٧٢٩ Devanagari ५०६७२९ Bengali ৫০৬৭২৯ Tamil ௫௦௬௭௨௯ Thai ๕๐๖๗๒๙ Tibetan ༥༠༦༧༢༩ Khmer ៥០៦៧២៩ Lao ໕໐໖໗໒໙ Burmese ၅၀၆၇၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 506731.

Hex color
#07BB69
RGB(7, 187, 105)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.187.105.

Address
0.7.187.105
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.187.105

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 506,729 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.