8442
8442 is a even composite number that follows 8441 and precedes 8443. It is composed of 24 distinct factors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221, 8442. Its prime factorization can be written as 2 × 3^2 × 7 × 67. 8442 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8442 is represented as 10000011111010 in binary and 20FA in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2 × 3^2 × 7 × 67) reveals 5 prime building blocks.
Divisible by 2
8442 ends in 2, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
8442 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
8442 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 8442 within several notable number theory sequences:
Timeline
Deep dive
How 8442 breaks down
8442 carries 24 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 12774, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000011111010 supports bitwise reasoning, hexadecimal 20FA aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8442 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8442 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8437–8447) to tune search ranges, and educators feature 8442 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 8442 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 8442
Is 8442 a prime number?
8442 is composite with 24 total factors and the prime factorization 2 × 3^2 × 7 × 67.
What is the prime factorization of 8442?
It breaks down as 2 × 3^2 × 7 × 67, multiplying the primes 2 × 3 × 3 × 7 × 67.
How is 8442 represented in binary and hexadecimal?
8442 converts to 10000011111010 in binary and 20FA in hexadecimal, which are helpful for computer science applications.
Is 8442 a perfect square, cube, or triangular number?
8442 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8442?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.