109
109 is a odd prime number that follows 108 and precedes 110. As a prime number, 109 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 109. 109 is classified as a deficient number based on the sum of its proper divisors. In computer science, 109 is represented as 1101101 in binary and 6D in hexadecimal. Historically, it is written as CIX in Roman numerals.
Factor Analysis
2 FactorsProperties
109 is prime, so its only factors are 1 and 109.
Divisible by 2
109 ends in 9, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 09 are not divisible by 4.
Divisible by 5
109 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 10 is not a multiple of 9.
Divisible by 10
109 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 109 within several notable number theory sequences:
Timeline
Deep dive
How 109 breaks down
109 carries 2 distinct factors and a digit signature of 10 (1 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 1101101 supports bitwise reasoning, hexadecimal 6D aligns with computing notation, and the Roman numeral CIX keeps the encyclopedic tradition alive. These attributes make 109 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 109 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (104–114) to tune search ranges, and educators feature 109 in worksheets about prime identification. Its binary footprint of length 7 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 109 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 109
Is 109 a prime number?
109 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 109?
109 is already prime, so the factorization is simply 109.
How is 109 represented in binary and hexadecimal?
109 converts to 1101101 in binary and 6D in hexadecimal, which are helpful for computer science applications.
Is 109 a perfect square, cube, or triangular number?
109 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 109?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.