524
524 is a even composite number that follows 523 and precedes 525. It is composed of 6 distinct factors: 1, 2, 4, 131, 262, 524. Its prime factorization can be written as 2^2 × 131. 524 is classified as a deficient number based on the sum of its proper divisors. In computer science, 524 is represented as 1000001100 in binary and 20C in hexadecimal. Historically, it is written as DXXIV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 131) reveals 3 prime building blocks.
Divisible by 2
524 ends in 4, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
524 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 11 is not a multiple of 9.
Divisible by 10
524 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 524 within several notable number theory sequences:
Timeline
Deep dive
How 524 breaks down
524 carries 6 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 400, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000001100 supports bitwise reasoning, hexadecimal 20C aligns with computing notation, and the Roman numeral DXXIV keeps the encyclopedic tradition alive. These attributes make 524 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 524 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (519–529) to tune search ranges, and educators feature 524 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, Deficient numbers) help historians, numerologists, and trivia writers tie 524 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 524
Is 524 a prime number?
524 is composite with 6 total factors and the prime factorization 2^2 × 131.
What is the prime factorization of 524?
It breaks down as 2^2 × 131, multiplying the primes 2 × 2 × 131.
How is 524 represented in binary and hexadecimal?
524 converts to 1000001100 in binary and 20C in hexadecimal, which are helpful for computer science applications.
Is 524 a perfect square, cube, or triangular number?
524 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 524?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.