5142
5142 is a even composite number that follows 5141 and precedes 5143. It is composed of 8 distinct factors: 1, 2, 3, 6, 857, 1714, 2571, 5142. Its prime factorization can be written as 2 × 3 × 857. 5142 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5142 is represented as 1010000010110 in binary and 1416 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 857) reveals 3 prime building blocks.
Divisible by 2
5142 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
5142 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
5142 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 5142 within several notable number theory sequences:
Timeline
Deep dive
How 5142 breaks down
5142 carries 8 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 5154, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010000010110 supports bitwise reasoning, hexadecimal 1416 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5142 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5142 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5137–5147) to tune search ranges, and educators feature 5142 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 5142 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 5142
Is 5142 a prime number?
5142 is composite with 8 total factors and the prime factorization 2 × 3 × 857.
What is the prime factorization of 5142?
It breaks down as 2 × 3 × 857, multiplying the primes 2 × 3 × 857.
How is 5142 represented in binary and hexadecimal?
5142 converts to 1010000010110 in binary and 1416 in hexadecimal, which are helpful for computer science applications.
Is 5142 a perfect square, cube, or triangular number?
5142 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5142?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.