524,287
524,287 is 2¹⁹ − 1, the seventh Mersenne prime.
- Odd
- Prime
Where 524,287 fits
Why 524,287 is special
It was the largest known prime for over a century after its verification, and it is a reminder of how hard primality testing was before mechanical computation: each candidate had to be checked by hand against every prime below its square root.
524,287 is part of
Factors & digit properties
- Divisors (2)
- 1, 524287
- Prime factorisation
- 524287
- Digit sum
- 28
- Digital root
- 1
Representations
- Decimal
- 524287
- Scientific notation
- 5.243 × 10^5
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 × 262,144 + 1 × 131,072 + 1 × 65,536 + 1 × 32,768 + 1 × 16,384 + 1 × 8,192 + 1 × 4,096 + 1 × 2,048 + 1 × 1,024 + 1 × 512 + 1 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 1 × 8 + 1 × 4 + 1 × 2 + 1 × 1 = 524,287
Octal
1 7 7 7 7 7 7
1 × 262,144 + 7 × 32,768 + 7 × 4,096 + 7 × 512 + 7 × 64 + 7 × 8 + 7 × 1 = 524,287
Hexadecimal
7 f f f f
7 × 65,536 + f × 4,096 + f × 256 + f × 16 + f × 1 = 524,287
Read as powers of two: 262,144 + 131,072 + 65,536 + 32,768 + 16,384 + 8,192 + 4,096 + 2,048 + 1,024 + 512 + 256 + 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 524,287.
In historical numeral systems
Egyptian
5 tadpoles, 2 fingers, 4 lotuses, 2 coils of rope, 8 hobbles, 7 strokes
5 × 100,000 + 2 × 10,000 + 4 × 1,000 + 2 × 100 + 8 × 10 + 7 × 1 = 524,287. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Deficient number
- Mersenne prime
Common questions
Is 524,287 a prime number?
Yes, 524,287 is prime — it has exactly two positive divisors: 1 and itself.
What are the factors of 524,287?
The factors of 524,287 are 1, 524287.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.