17108
17108 is a even composite number that follows 17107 and precedes 17109. It is composed of 24 distinct factors: 1, 2, 4, 7, 13, 14, 26, 28, 47, 52, 91, 94, 182, 188, 329, 364, 611, 658, 1222, 1316, 2444, 4277, 8554, 17108. Its prime factorization can be written as 2^2 × 7 × 13 × 47. 17108 is classified as a abundant number based on the sum of its proper divisors. In computer science, 17108 is represented as 100001011010100 in binary and 42D4 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 7 × 13 × 47) reveals 5 prime building blocks.
Divisible by 2
17108 ends in 8, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
17108 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 17 is not a multiple of 9.
Divisible by 10
17108 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 17108 within several notable number theory sequences:
Timeline
Deep dive
How 17108 breaks down
17108 carries 24 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 20524, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100001011010100 supports bitwise reasoning, hexadecimal 42D4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 17108 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 17108 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (17103–17113) to tune search ranges, and educators feature 17108 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 17108 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 17108
Is 17108 a prime number?
17108 is composite with 24 total factors and the prime factorization 2^2 × 7 × 13 × 47.
What is the prime factorization of 17108?
It breaks down as 2^2 × 7 × 13 × 47, multiplying the primes 2 × 2 × 7 × 13 × 47.
How is 17108 represented in binary and hexadecimal?
17108 converts to 100001011010100 in binary and 42D4 in hexadecimal, which are helpful for computer science applications.
Is 17108 a perfect square, cube, or triangular number?
17108 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 17108?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.