5617
5617 is a odd composite number that follows 5616 and precedes 5618. It is composed of 4 distinct factors: 1, 41, 137, 5617. Its prime factorization can be written as 41 × 137. 5617 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5617 is represented as 1010111110001 in binary and 15F1 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (41 × 137) reveals 2 prime building blocks.
Divisible by 2
5617 ends in 7, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 17 are not divisible by 4.
Divisible by 5
5617 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 19 is not a multiple of 9.
Divisible by 10
5617 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 5617 within several notable number theory sequences:
Timeline
Deep dive
How 5617 breaks down
5617 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 179, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010111110001 supports bitwise reasoning, hexadecimal 15F1 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5617 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5617 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5612–5622) to tune search ranges, and educators feature 5617 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 5617 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 5617
Is 5617 a prime number?
5617 is composite with 4 total factors and the prime factorization 41 × 137.
What is the prime factorization of 5617?
It breaks down as 41 × 137, multiplying the primes 41 × 137.
How is 5617 represented in binary and hexadecimal?
5617 converts to 1010111110001 in binary and 15F1 in hexadecimal, which are helpful for computer science applications.
Is 5617 a perfect square, cube, or triangular number?
5617 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5617?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.