2842
2842 is a even composite number that follows 2841 and precedes 2843. It is composed of 12 distinct factors: 1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842. Its prime factorization can be written as 2 × 7^2 × 29. 2842 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2842 is represented as 101100011010 in binary and B1A in hexadecimal. Historically, it is written as MMDCCCXLII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 7^2 × 29) reveals 4 prime building blocks.
Divisible by 2
2842 ends in 2, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
2842 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 16 is not a multiple of 9.
Divisible by 10
2842 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 2842 within several notable number theory sequences:
Timeline
Deep dive
How 2842 breaks down
2842 carries 12 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 2288, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101100011010 supports bitwise reasoning, hexadecimal B1A aligns with computing notation, and the Roman numeral MMDCCCXLII keeps the encyclopedic tradition alive. These attributes make 2842 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2842 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2837–2847) to tune search ranges, and educators feature 2842 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 2842 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 2842
Is 2842 a prime number?
2842 is composite with 12 total factors and the prime factorization 2 × 7^2 × 29.
What is the prime factorization of 2842?
It breaks down as 2 × 7^2 × 29, multiplying the primes 2 × 7 × 7 × 29.
How is 2842 represented in binary and hexadecimal?
2842 converts to 101100011010 in binary and B1A in hexadecimal, which are helpful for computer science applications.
Is 2842 a perfect square, cube, or triangular number?
2842 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2842?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.