5017
5017 is a odd composite number that follows 5016 and precedes 5018. It is composed of 4 distinct factors: 1, 29, 173, 5017. Its prime factorization can be written as 29 × 173. 5017 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5017 is represented as 1001110011001 in binary and 1399 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (29 × 173) reveals 2 prime building blocks.
Divisible by 2
5017 ends in 7, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 17 are not divisible by 4.
Divisible by 5
5017 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 13 is not a multiple of 9.
Divisible by 10
5017 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 5017 within several notable number theory sequences:
Timeline
Deep dive
How 5017 breaks down
5017 carries 4 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 203, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001110011001 supports bitwise reasoning, hexadecimal 1399 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5017 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5017 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5012–5022) to tune search ranges, and educators feature 5017 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, Deficient numbers) help historians, numerologists, and trivia writers tie 5017 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 5017
Is 5017 a prime number?
5017 is composite with 4 total factors and the prime factorization 29 × 173.
What is the prime factorization of 5017?
It breaks down as 29 × 173, multiplying the primes 29 × 173.
How is 5017 represented in binary and hexadecimal?
5017 converts to 1001110011001 in binary and 1399 in hexadecimal, which are helpful for computer science applications.
Is 5017 a perfect square, cube, or triangular number?
5017 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5017?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.