17142
17142 is a even composite number that follows 17141 and precedes 17143. It is composed of 8 distinct factors: 1, 2, 3, 6, 2857, 5714, 8571, 17142. Its prime factorization can be written as 2 × 3 × 2857. 17142 is classified as a abundant number based on the sum of its proper divisors. In computer science, 17142 is represented as 100001011110110 in binary and 42F6 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 2857) reveals 3 prime building blocks.
Divisible by 2
17142 ends in 2, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
17142 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 15 is not a multiple of 9.
Divisible by 10
17142 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Abundant classification and digit analytics place 17142 within several notable number theory sequences:
Timeline
Deep dive
How 17142 breaks down
17142 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 17154, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100001011110110 supports bitwise reasoning, hexadecimal 42F6 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 17142 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 17142 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (17137–17147) to tune search ranges, and educators feature 17142 in worksheets about factor trees. Its binary footprint of length 15 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 17142 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 17142
Is 17142 a prime number?
17142 is composite with 8 total factors and the prime factorization 2 × 3 × 2857.
What is the prime factorization of 17142?
It breaks down as 2 × 3 × 2857, multiplying the primes 2 × 3 × 2857.
How is 17142 represented in binary and hexadecimal?
17142 converts to 100001011110110 in binary and 42F6 in hexadecimal, which are helpful for computer science applications.
Is 17142 a perfect square, cube, or triangular number?
17142 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 17142?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.