9248
9248 is a even composite number that follows 9247 and precedes 9249. It is composed of 18 distinct factors: 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 289, 544, 578, 1156, 2312, 4624, 9248. Its prime factorization can be written as 2^5 × 17^2. 9248 is classified as a abundant number based on the sum of its proper divisors. In computer science, 9248 is represented as 10010000100000 in binary and 2420 in hexadecimal.
Factor Analysis
18 FactorsProperties
The prime factorization (2^5 × 17^2) reveals 7 prime building blocks.
Divisible by 2
9248 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 48 form a multiple of 4.
Divisible by 5
9248 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
9248 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 9248 within several notable number theory sequences:
Timeline
Deep dive
How 9248 breaks down
9248 carries 18 distinct factors and a digit signature of 23 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 10093, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010000100000 supports bitwise reasoning, hexadecimal 2420 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9248 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9248 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9243–9253) to tune search ranges, and educators feature 9248 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 9248 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 9248
Is 9248 a prime number?
9248 is composite with 18 total factors and the prime factorization 2^5 × 17^2.
What is the prime factorization of 9248?
It breaks down as 2^5 × 17^2, multiplying the primes 2 × 2 × 2 × 2 × 2 × 17 × 17.
How is 9248 represented in binary and hexadecimal?
9248 converts to 10010000100000 in binary and 2420 in hexadecimal, which are helpful for computer science applications.
Is 9248 a perfect square, cube, or triangular number?
9248 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9248?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.