520
520 is a even composite number that follows 519 and precedes 521. It is composed of 16 distinct factors: 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520. Its prime factorization can be written as 2^3 × 5 × 13. 520 is classified as a abundant number based on the sum of its proper divisors. In computer science, 520 is represented as 1000001000 in binary and 208 in hexadecimal. Historically, it is written as DXX in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 5 × 13) reveals 5 prime building blocks.
Divisible by 2
520 ends in 0, so it is even.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 20 form a multiple of 4.
Divisible by 5
520 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 7 is not a multiple of 9.
Divisible by 10
520 ends in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 520 within several notable number theory sequences:
Timeline
Deep dive
How 520 breaks down
520 carries 16 distinct factors and a digit signature of 7 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 740, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000001000 supports bitwise reasoning, hexadecimal 208 aligns with computing notation, and the Roman numeral DXX keeps the encyclopedic tradition alive. These attributes make 520 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 520 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (515–525) to tune search ranges, and educators feature 520 in worksheets about factor trees. Its binary footprint of length 10 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 520 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 520
Is 520 a prime number?
520 is composite with 16 total factors and the prime factorization 2^3 × 5 × 13.
What is the prime factorization of 520?
It breaks down as 2^3 × 5 × 13, multiplying the primes 2 × 2 × 2 × 5 × 13.
How is 520 represented in binary and hexadecimal?
520 converts to 1000001000 in binary and 208 in hexadecimal, which are helpful for computer science applications.
Is 520 a perfect square, cube, or triangular number?
520 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 520?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.