3542
3542 is a even composite number that follows 3541 and precedes 3543. It is composed of 16 distinct factors: 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771, 3542. Its prime factorization can be written as 2 × 7 × 11 × 23. 3542 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3542 is represented as 110111010110 in binary and DD6 in hexadecimal. Historically, it is written as MMMDXLII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 7 × 11 × 23) reveals 4 prime building blocks.
Divisible by 2
3542 ends in 2, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
3542 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 14 is not a multiple of 9.
Divisible by 10
3542 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 3542 within several notable number theory sequences:
Timeline
Deep dive
How 3542 breaks down
3542 carries 16 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 3370, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110111010110 supports bitwise reasoning, hexadecimal DD6 aligns with computing notation, and the Roman numeral MMMDXLII keeps the encyclopedic tradition alive. These attributes make 3542 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3542 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3537–3547) to tune search ranges, and educators feature 3542 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, Deficient numbers) help historians, numerologists, and trivia writers tie 3542 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 3542
Is 3542 a prime number?
3542 is composite with 16 total factors and the prime factorization 2 × 7 × 11 × 23.
What is the prime factorization of 3542?
It breaks down as 2 × 7 × 11 × 23, multiplying the primes 2 × 7 × 11 × 23.
How is 3542 represented in binary and hexadecimal?
3542 converts to 110111010110 in binary and DD6 in hexadecimal, which are helpful for computer science applications.
Is 3542 a perfect square, cube, or triangular number?
3542 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3542?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.