3042
3042 is a even composite number that follows 3041 and precedes 3043. It is composed of 18 distinct factors: 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521, 3042. Its prime factorization can be written as 2 × 3^2 × 13^2. 3042 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3042 is represented as 101111100010 in binary and BE2 in hexadecimal. Historically, it is written as MMMXLII in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2 × 3^2 × 13^2) reveals 5 prime building blocks.
Divisible by 2
3042 ends in 2, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
3042 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 9 is a multiple of 9.
Divisible by 10
3042 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 3042 within several notable number theory sequences:
Timeline
Deep dive
How 3042 breaks down
3042 carries 18 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 4095, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101111100010 supports bitwise reasoning, hexadecimal BE2 aligns with computing notation, and the Roman numeral MMMXLII keeps the encyclopedic tradition alive. These attributes make 3042 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3042 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3037–3047) to tune search ranges, and educators feature 3042 in worksheets about factor trees. Its binary footprint of length 12 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 3042 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 3042
Is 3042 a prime number?
3042 is composite with 18 total factors and the prime factorization 2 × 3^2 × 13^2.
What is the prime factorization of 3042?
It breaks down as 2 × 3^2 × 13^2, multiplying the primes 2 × 3 × 3 × 13 × 13.
How is 3042 represented in binary and hexadecimal?
3042 converts to 101111100010 in binary and BE2 in hexadecimal, which are helpful for computer science applications.
Is 3042 a perfect square, cube, or triangular number?
3042 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3042?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.