3142
3142 is a even composite number that follows 3141 and precedes 3143. It is composed of 4 distinct factors: 1, 2, 1571, 3142. Its prime factorization can be written as 2 × 1571. 3142 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3142 is represented as 110001000110 in binary and C46 in hexadecimal. Historically, it is written as MMMCXLII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 1571) reveals 2 prime building blocks.
Divisible by 2
3142 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
3142 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
3142 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 3142 within several notable number theory sequences:
Timeline
Deep dive
How 3142 breaks down
3142 carries 4 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 1574, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110001000110 supports bitwise reasoning, hexadecimal C46 aligns with computing notation, and the Roman numeral MMMCXLII keeps the encyclopedic tradition alive. These attributes make 3142 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3142 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3137–3147) to tune search ranges, and educators feature 3142 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 3142 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 3142
Is 3142 a prime number?
3142 is composite with 4 total factors and the prime factorization 2 × 1571.
What is the prime factorization of 3142?
It breaks down as 2 × 1571, multiplying the primes 2 × 1571.
How is 3142 represented in binary and hexadecimal?
3142 converts to 110001000110 in binary and C46 in hexadecimal, which are helpful for computer science applications.
Is 3142 a perfect square, cube, or triangular number?
3142 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3142?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.