442
442 is a even composite number that follows 441 and precedes 443. It is composed of 8 distinct factors: 1, 2, 13, 17, 26, 34, 221, 442. Its prime factorization can be written as 2 × 13 × 17. 442 is classified as a deficient number based on the sum of its proper divisors. In computer science, 442 is represented as 110111010 in binary and 1BA in hexadecimal. Historically, it is written as CDXLII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 13 × 17) reveals 3 prime building blocks.
Divisible by 2
442 ends in 2, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
442 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 10 is not a multiple of 9.
Divisible by 10
442 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 442 within several notable number theory sequences:
Timeline
Deep dive
How 442 breaks down
442 carries 8 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 314, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110111010 supports bitwise reasoning, hexadecimal 1BA aligns with computing notation, and the Roman numeral CDXLII keeps the encyclopedic tradition alive. These attributes make 442 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 442 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (437–447) to tune search ranges, and educators feature 442 in worksheets about factor trees. Its binary footprint of length 9 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 442 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 442
Is 442 a prime number?
442 is composite with 8 total factors and the prime factorization 2 × 13 × 17.
What is the prime factorization of 442?
It breaks down as 2 × 13 × 17, multiplying the primes 2 × 13 × 17.
How is 442 represented in binary and hexadecimal?
442 converts to 110111010 in binary and 1BA in hexadecimal, which are helpful for computer science applications.
Is 442 a perfect square, cube, or triangular number?
442 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 442?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.