3505
3505 is a odd composite number that follows 3504 and precedes 3506. It is composed of 4 distinct factors: 1, 5, 701, 3505. Its prime factorization can be written as 5 × 701. 3505 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3505 is represented as 110110110001 in binary and DB1 in hexadecimal. Historically, it is written as MMMDV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (5 × 701) reveals 2 prime building blocks.
Divisible by 2
3505 ends in 5, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 05 are not divisible by 4.
Divisible by 5
3505 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 13 is not a multiple of 9.
Divisible by 10
3505 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 3505 within several notable number theory sequences:
Timeline
Deep dive
How 3505 breaks down
3505 carries 4 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 707, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110110001 supports bitwise reasoning, hexadecimal DB1 aligns with computing notation, and the Roman numeral MMMDV keeps the encyclopedic tradition alive. These attributes make 3505 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3505 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3500–3510) to tune search ranges, and educators feature 3505 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 3505 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 3505
Is 3505 a prime number?
3505 is composite with 4 total factors and the prime factorization 5 × 701.
What is the prime factorization of 3505?
It breaks down as 5 × 701, multiplying the primes 5 × 701.
How is 3505 represented in binary and hexadecimal?
3505 converts to 110110110001 in binary and DB1 in hexadecimal, which are helpful for computer science applications.
Is 3505 a perfect square, cube, or triangular number?
3505 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3505?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.