8109
8109 is a odd composite number that follows 8108 and precedes 8110. It is composed of 12 distinct factors: 1, 3, 9, 17, 51, 53, 153, 159, 477, 901, 2703, 8109. Its prime factorization can be written as 3^2 × 17 × 53. 8109 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8109 is represented as 1111110101101 in binary and 1FAD in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (3^2 × 17 × 53) reveals 4 prime building blocks.
Divisible by 2
8109 ends in 9, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 09 are not divisible by 4.
Divisible by 5
8109 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 18 is a multiple of 9.
Divisible by 10
8109 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 8109 within several notable number theory sequences:
Timeline
Deep dive
How 8109 breaks down
8109 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 4527, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111110101101 supports bitwise reasoning, hexadecimal 1FAD aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8109 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8109 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8104–8114) to tune search ranges, and educators feature 8109 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 8109 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 8109
Is 8109 a prime number?
8109 is composite with 12 total factors and the prime factorization 3^2 × 17 × 53.
What is the prime factorization of 8109?
It breaks down as 3^2 × 17 × 53, multiplying the primes 3 × 3 × 17 × 53.
How is 8109 represented in binary and hexadecimal?
8109 converts to 1111110101101 in binary and 1FAD in hexadecimal, which are helpful for computer science applications.
Is 8109 a perfect square, cube, or triangular number?
8109 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8109?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.