3508
3508 is a even composite number that follows 3507 and precedes 3509. It is composed of 6 distinct factors: 1, 2, 4, 877, 1754, 3508. Its prime factorization can be written as 2^2 × 877. 3508 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3508 is represented as 110110110100 in binary and DB4 in hexadecimal. Historically, it is written as MMMDVIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 877) reveals 3 prime building blocks.
Divisible by 2
3508 ends in 8, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
3508 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
3508 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 3508 within several notable number theory sequences:
Timeline
Deep dive
How 3508 breaks down
3508 carries 6 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 2638, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110110100 supports bitwise reasoning, hexadecimal DB4 aligns with computing notation, and the Roman numeral MMMDVIII keeps the encyclopedic tradition alive. These attributes make 3508 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3508 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3503–3513) to tune search ranges, and educators feature 3508 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 3508 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 3508
Is 3508 a prime number?
3508 is composite with 6 total factors and the prime factorization 2^2 × 877.
What is the prime factorization of 3508?
It breaks down as 2^2 × 877, multiplying the primes 2 × 2 × 877.
How is 3508 represented in binary and hexadecimal?
3508 converts to 110110110100 in binary and DB4 in hexadecimal, which are helpful for computer science applications.
Is 3508 a perfect square, cube, or triangular number?
3508 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3508?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.