242
242 is a even composite number that follows 241 and precedes 243. It is composed of 6 distinct factors: 1, 2, 11, 22, 121, 242. Its prime factorization can be written as 2 × 11^2. 242 is classified as a deficient number based on the sum of its proper divisors. In computer science, 242 is represented as 11110010 in binary and F2 in hexadecimal. Historically, it is written as CCXLII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2 × 11^2) reveals 3 prime building blocks.
Divisible by 2
242 ends in 2, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
242 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 8 is not a multiple of 9.
Divisible by 10
242 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 242 within several notable number theory sequences:
Timeline
Deep dive
How 242 breaks down
242 carries 6 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 157, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11110010 supports bitwise reasoning, hexadecimal F2 aligns with computing notation, and the Roman numeral CCXLII keeps the encyclopedic tradition alive. These attributes make 242 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 242 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (237–247) to tune search ranges, and educators feature 242 in worksheets about factor trees. Its binary footprint of length 8 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 242 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 242
Is 242 a prime number?
242 is composite with 6 total factors and the prime factorization 2 × 11^2.
What is the prime factorization of 242?
It breaks down as 2 × 11^2, multiplying the primes 2 × 11 × 11.
How is 242 represented in binary and hexadecimal?
242 converts to 11110010 in binary and F2 in hexadecimal, which are helpful for computer science applications.
Is 242 a perfect square, cube, or triangular number?
242 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 242?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.