8448
8448 is a even composite number that follows 8447 and precedes 8449. It is composed of 36 distinct factors: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 528, 704, 768, 1056, 1408, 2112, 2816, 4224, 8448. Its prime factorization can be written as 2^8 × 3 × 11. 8448 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8448 is represented as 10000100000000 in binary and 2100 in hexadecimal.
Factor Analysis
36 FactorsProperties
The prime factorization (2^8 × 3 × 11) reveals 10 prime building blocks.
Divisible by 2
8448 ends in 8, so it is even.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
8448 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 24 is not a multiple of 9.
Divisible by 10
8448 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 8448 within several notable number theory sequences:
Timeline
Deep dive
How 8448 breaks down
8448 carries 36 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 16080, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000100000000 supports bitwise reasoning, hexadecimal 2100 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8448 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8448 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8443–8453) to tune search ranges, and educators feature 8448 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 8448 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 8448
Is 8448 a prime number?
8448 is composite with 36 total factors and the prime factorization 2^8 × 3 × 11.
What is the prime factorization of 8448?
It breaks down as 2^8 × 3 × 11, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11.
How is 8448 represented in binary and hexadecimal?
8448 converts to 10000100000000 in binary and 2100 in hexadecimal, which are helpful for computer science applications.
Is 8448 a perfect square, cube, or triangular number?
8448 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8448?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.