8242
8242 is a even composite number that follows 8241 and precedes 8243. It is composed of 8 distinct factors: 1, 2, 13, 26, 317, 634, 4121, 8242. Its prime factorization can be written as 2 × 13 × 317. 8242 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8242 is represented as 10000000110010 in binary and 2032 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 13 × 317) reveals 3 prime building blocks.
Divisible by 2
8242 ends in 2, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
8242 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 16 is not a multiple of 9.
Divisible by 10
8242 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 8242 within several notable number theory sequences:
Timeline
Deep dive
How 8242 breaks down
8242 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 5114, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000000110010 supports bitwise reasoning, hexadecimal 2032 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8242 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8242 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8237–8247) to tune search ranges, and educators feature 8242 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, Deficient numbers) help historians, numerologists, and trivia writers tie 8242 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 8242
Is 8242 a prime number?
8242 is composite with 8 total factors and the prime factorization 2 × 13 × 317.
What is the prime factorization of 8242?
It breaks down as 2 × 13 × 317, multiplying the primes 2 × 13 × 317.
How is 8242 represented in binary and hexadecimal?
8242 converts to 10000000110010 in binary and 2032 in hexadecimal, which are helpful for computer science applications.
Is 8242 a perfect square, cube, or triangular number?
8242 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8242?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.