8528
8528 is a even composite number that follows 8527 and precedes 8529. It is composed of 20 distinct factors: 1, 2, 4, 8, 13, 16, 26, 41, 52, 82, 104, 164, 208, 328, 533, 656, 1066, 2132, 4264, 8528. Its prime factorization can be written as 2^4 × 13 × 41. 8528 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8528 is represented as 10000101010000 in binary and 2150 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 13 × 41) reveals 6 prime building blocks.
Divisible by 2
8528 ends in 8, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
8528 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 23 is not a multiple of 9.
Divisible by 10
8528 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 8528 within several notable number theory sequences:
Timeline
Deep dive
How 8528 breaks down
8528 carries 20 distinct factors and a digit signature of 23 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 9700, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000101010000 supports bitwise reasoning, hexadecimal 2150 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8528 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8528 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8523–8533) to tune search ranges, and educators feature 8528 in worksheets about factor trees. Its binary footprint of length 14 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 8528 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 8528
Is 8528 a prime number?
8528 is composite with 20 total factors and the prime factorization 2^4 × 13 × 41.
What is the prime factorization of 8528?
It breaks down as 2^4 × 13 × 41, multiplying the primes 2 × 2 × 2 × 2 × 13 × 41.
How is 8528 represented in binary and hexadecimal?
8528 converts to 10000101010000 in binary and 2150 in hexadecimal, which are helpful for computer science applications.
Is 8528 a perfect square, cube, or triangular number?
8528 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8528?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.