4242
4242 is a even composite number that follows 4241 and precedes 4243. It is composed of 16 distinct factors: 1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242. Its prime factorization can be written as 2 × 3 × 7 × 101. 4242 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4242 is represented as 1000010010010 in binary and 1092 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 7 × 101) reveals 4 prime building blocks.
Divisible by 2
4242 ends in 2, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
4242 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 12 is not a multiple of 9.
Divisible by 10
4242 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 4242 within several notable number theory sequences:
Timeline
Deep dive
How 4242 breaks down
4242 carries 16 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 5550, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000010010010 supports bitwise reasoning, hexadecimal 1092 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4242 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4242 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4237–4247) to tune search ranges, and educators feature 4242 in worksheets about factor trees. Its binary footprint of length 13 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 4242 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 4242
Is 4242 a prime number?
4242 is composite with 16 total factors and the prime factorization 2 × 3 × 7 × 101.
What is the prime factorization of 4242?
It breaks down as 2 × 3 × 7 × 101, multiplying the primes 2 × 3 × 7 × 101.
How is 4242 represented in binary and hexadecimal?
4242 converts to 1000010010010 in binary and 1092 in hexadecimal, which are helpful for computer science applications.
Is 4242 a perfect square, cube, or triangular number?
4242 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4242?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.