8117
8117 is a odd prime number that follows 8116 and precedes 8118. As a prime number, 8117 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 8117. 8117 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8117 is represented as 1111110110101 in binary and 1FB5 in hexadecimal.
Factor Analysis
2 FactorsProperties
8117 is prime, so its only factors are 1 and 8117.
Divisible by 2
8117 ends in 7, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 17 are not divisible by 4.
Divisible by 5
8117 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
8117 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 8117 within several notable number theory sequences:
Timeline
Deep dive
How 8117 breaks down
8117 carries 2 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111110110101 supports bitwise reasoning, hexadecimal 1FB5 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8117 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8117 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8112–8122) to tune search ranges, and educators feature 8117 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 8117 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 8117
Is 8117 a prime number?
8117 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 8117?
8117 is already prime, so the factorization is simply 8117.
How is 8117 represented in binary and hexadecimal?
8117 converts to 1111110110101 in binary and 1FB5 in hexadecimal, which are helpful for computer science applications.
Is 8117 a perfect square, cube, or triangular number?
8117 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8117?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.