17008
17008 is a even composite number that follows 17007 and precedes 17009. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 1063, 2126, 4252, 8504, 17008. Its prime factorization can be written as 2^4 × 1063. 17008 is classified as a deficient number based on the sum of its proper divisors. In computer science, 17008 is represented as 100001001110000 in binary and 4270 in hexadecimal.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 1063) reveals 5 prime building blocks.
Divisible by 2
17008 ends in 8, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
17008 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
17008 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 17008 within several notable number theory sequences:
Timeline
Deep dive
How 17008 breaks down
17008 carries 10 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 15976, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100001001110000 supports bitwise reasoning, hexadecimal 4270 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 17008 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 17008 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (17003–17013) to tune search ranges, and educators feature 17008 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, Deficient numbers) help historians, numerologists, and trivia writers tie 17008 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 17008
Is 17008 a prime number?
17008 is composite with 10 total factors and the prime factorization 2^4 × 1063.
What is the prime factorization of 17008?
It breaks down as 2^4 × 1063, multiplying the primes 2 × 2 × 2 × 2 × 1063.
How is 17008 represented in binary and hexadecimal?
17008 converts to 100001001110000 in binary and 4270 in hexadecimal, which are helpful for computer science applications.
Is 17008 a perfect square, cube, or triangular number?
17008 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 17008?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.