5109
5109 is a odd composite number that follows 5108 and precedes 5110. It is composed of 8 distinct factors: 1, 3, 13, 39, 131, 393, 1703, 5109. Its prime factorization can be written as 3 × 13 × 131. 5109 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5109 is represented as 1001111110101 in binary and 13F5 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 13 × 131) reveals 3 prime building blocks.
Divisible by 2
5109 ends in 9, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 09 are not divisible by 4.
Divisible by 5
5109 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 15 is not a multiple of 9.
Divisible by 10
5109 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 5109 within several notable number theory sequences:
Timeline
Deep dive
How 5109 breaks down
5109 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 2283, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001111110101 supports bitwise reasoning, hexadecimal 13F5 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5109 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5109 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5104–5114) to tune search ranges, and educators feature 5109 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 5109 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 5109
Is 5109 a prime number?
5109 is composite with 8 total factors and the prime factorization 3 × 13 × 131.
What is the prime factorization of 5109?
It breaks down as 3 × 13 × 131, multiplying the primes 3 × 13 × 131.
How is 5109 represented in binary and hexadecimal?
5109 converts to 1001111110101 in binary and 13F5 in hexadecimal, which are helpful for computer science applications.
Is 5109 a perfect square, cube, or triangular number?
5109 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5109?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.