42848
42848 is a even composite number that follows 42847 and precedes 42849. It is composed of 24 distinct factors: 1, 2, 4, 8, 13, 16, 26, 32, 52, 103, 104, 206, 208, 412, 416, 824, 1339, 1648, 2678, 3296, 5356, 10712, 21424, 42848. Its prime factorization can be written as 2^5 × 13 × 103. 42848 is classified as a abundant number based on the sum of its proper divisors. In computer science, 42848 is represented as 1010011101100000 in binary and A760 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^5 × 13 × 103) reveals 7 prime building blocks.
Divisible by 2
42848 ends in 8, so it is even.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
42848 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 26 is not a multiple of 9.
Divisible by 10
42848 does not end in 0.
Divisible by 11
The alternating digit sum 14 is not a multiple of 11.
Abundant classification and digit analytics place 42848 within several notable number theory sequences:
Timeline
Deep dive
How 42848 breaks down
42848 carries 24 distinct factors and a digit signature of 26 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 48880, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010011101100000 supports bitwise reasoning, hexadecimal A760 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 42848 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 42848 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (42843–42853) to tune search ranges, and educators feature 42848 in worksheets about factor trees. Its binary footprint of length 16 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 42848 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 42848
Is 42848 a prime number?
42848 is composite with 24 total factors and the prime factorization 2^5 × 13 × 103.
What is the prime factorization of 42848?
It breaks down as 2^5 × 13 × 103, multiplying the primes 2 × 2 × 2 × 2 × 2 × 13 × 103.
How is 42848 represented in binary and hexadecimal?
42848 converts to 1010011101100000 in binary and A760 in hexadecimal, which are helpful for computer science applications.
Is 42848 a perfect square, cube, or triangular number?
42848 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 42848?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.