3516
3516 is a even composite number that follows 3515 and precedes 3517. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 12, 293, 586, 879, 1172, 1758, 3516. Its prime factorization can be written as 2^2 × 3 × 293. 3516 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3516 is represented as 110110111100 in binary and DBC in hexadecimal. Historically, it is written as MMMDXVI in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 293) reveals 4 prime building blocks.
Divisible by 2
3516 ends in 6, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 16 form a multiple of 4.
Divisible by 5
3516 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
3516 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Abundant classification and digit analytics place 3516 within several notable number theory sequences:
Timeline
Deep dive
How 3516 breaks down
3516 carries 12 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 4716, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110111100 supports bitwise reasoning, hexadecimal DBC aligns with computing notation, and the Roman numeral MMMDXVI keeps the encyclopedic tradition alive. These attributes make 3516 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3516 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3511–3521) to tune search ranges, and educators feature 3516 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, Abundant numbers) help historians, numerologists, and trivia writers tie 3516 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 3516
Is 3516 a prime number?
3516 is composite with 12 total factors and the prime factorization 2^2 × 3 × 293.
What is the prime factorization of 3516?
It breaks down as 2^2 × 3 × 293, multiplying the primes 2 × 2 × 3 × 293.
How is 3516 represented in binary and hexadecimal?
3516 converts to 110110111100 in binary and DBC in hexadecimal, which are helpful for computer science applications.
Is 3516 a perfect square, cube, or triangular number?
3516 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3516?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.