3506
3506 is a even composite number that follows 3505 and precedes 3507. It is composed of 4 distinct factors: 1, 2, 1753, 3506. Its prime factorization can be written as 2 × 1753. 3506 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3506 is represented as 110110110010 in binary and DB2 in hexadecimal. Historically, it is written as MMMDVI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 1753) reveals 2 prime building blocks.
Divisible by 2
3506 ends in 6, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 06 are not divisible by 4.
Divisible by 5
3506 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 14 is not a multiple of 9.
Divisible by 10
3506 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Deficient classification and digit analytics place 3506 within several notable number theory sequences:
Timeline
Deep dive
How 3506 breaks down
3506 carries 4 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 1756, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110110010 supports bitwise reasoning, hexadecimal DB2 aligns with computing notation, and the Roman numeral MMMDVI keeps the encyclopedic tradition alive. These attributes make 3506 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3506 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3501–3511) to tune search ranges, and educators feature 3506 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 3506 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 3506
Is 3506 a prime number?
3506 is composite with 4 total factors and the prime factorization 2 × 1753.
What is the prime factorization of 3506?
It breaks down as 2 × 1753, multiplying the primes 2 × 1753.
How is 3506 represented in binary and hexadecimal?
3506 converts to 110110110010 in binary and DB2 in hexadecimal, which are helpful for computer science applications.
Is 3506 a perfect square, cube, or triangular number?
3506 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3506?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.