3509
3509 is a odd composite number that follows 3508 and precedes 3510. It is composed of 6 distinct factors: 1, 11, 29, 121, 319, 3509. Its prime factorization can be written as 11^2 × 29. 3509 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3509 is represented as 110110110101 in binary and DB5 in hexadecimal. Historically, it is written as MMMDIX in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (11^2 × 29) reveals 3 prime building blocks.
Divisible by 2
3509 ends in 9, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 09 are not divisible by 4.
Divisible by 5
3509 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
3509 does not end in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Deficient classification and digit analytics place 3509 within several notable number theory sequences:
Timeline
Deep dive
How 3509 breaks down
3509 carries 6 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 481, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110110101 supports bitwise reasoning, hexadecimal DB5 aligns with computing notation, and the Roman numeral MMMDIX keeps the encyclopedic tradition alive. These attributes make 3509 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3509 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3504–3514) to tune search ranges, and educators feature 3509 in worksheets about factor trees. Its binary footprint of length 12 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 3509 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 3509
Is 3509 a prime number?
3509 is composite with 6 total factors and the prime factorization 11^2 × 29.
What is the prime factorization of 3509?
It breaks down as 11^2 × 29, multiplying the primes 11 × 11 × 29.
How is 3509 represented in binary and hexadecimal?
3509 converts to 110110110101 in binary and DB5 in hexadecimal, which are helpful for computer science applications.
Is 3509 a perfect square, cube, or triangular number?
3509 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3509?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.