5508
5508 is a even composite number that follows 5507 and precedes 5509. It is composed of 30 distinct factors: 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 306, 324, 459, 612, 918, 1377, 1836, 2754, 5508. Its prime factorization can be written as 2^2 × 3^4 × 17. 5508 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5508 is represented as 1010110000100 in binary and 1584 in hexadecimal.
Factor Analysis
30 FactorsProperties
The prime factorization (2^2 × 3^4 × 17) reveals 7 prime building blocks.
Divisible by 2
5508 ends in 8, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
5508 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
5508 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Abundant classification and digit analytics place 5508 within several notable number theory sequences:
Timeline
Deep dive
How 5508 breaks down
5508 carries 30 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 9738, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010110000100 supports bitwise reasoning, hexadecimal 1584 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5508 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5508 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5503–5513) to tune search ranges, and educators feature 5508 in worksheets about factor trees. Its binary footprint of length 13 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 5508 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 5508
Is 5508 a prime number?
5508 is composite with 30 total factors and the prime factorization 2^2 × 3^4 × 17.
What is the prime factorization of 5508?
It breaks down as 2^2 × 3^4 × 17, multiplying the primes 2 × 2 × 3 × 3 × 3 × 3 × 17.
How is 5508 represented in binary and hexadecimal?
5508 converts to 1010110000100 in binary and 1584 in hexadecimal, which are helpful for computer science applications.
Is 5508 a perfect square, cube, or triangular number?
5508 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5508?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.