6109
6109 is a odd composite number that follows 6108 and precedes 6110. It is composed of 4 distinct factors: 1, 41, 149, 6109. Its prime factorization can be written as 41 × 149. 6109 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6109 is represented as 1011111011101 in binary and 17DD in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (41 × 149) reveals 2 prime building blocks.
Divisible by 2
6109 ends in 9, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 09 are not divisible by 4.
Divisible by 5
6109 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
6109 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 6109 within several notable number theory sequences:
Timeline
Deep dive
How 6109 breaks down
6109 carries 4 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 191, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011111011101 supports bitwise reasoning, hexadecimal 17DD aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6109 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6109 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6104–6114) to tune search ranges, and educators feature 6109 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 6109 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 6109
Is 6109 a prime number?
6109 is composite with 4 total factors and the prime factorization 41 × 149.
What is the prime factorization of 6109?
It breaks down as 41 × 149, multiplying the primes 41 × 149.
How is 6109 represented in binary and hexadecimal?
6109 converts to 1011111011101 in binary and 17DD in hexadecimal, which are helpful for computer science applications.
Is 6109 a perfect square, cube, or triangular number?
6109 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6109?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.