3521
3521 is a odd composite number that follows 3520 and precedes 3522. It is composed of 4 distinct factors: 1, 7, 503, 3521. Its prime factorization can be written as 7 × 503. 3521 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3521 is represented as 110111000001 in binary and DC1 in hexadecimal. Historically, it is written as MMMDXXI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (7 × 503) reveals 2 prime building blocks.
Divisible by 2
3521 ends in 1, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 21 are not divisible by 4.
Divisible by 5
3521 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 11 is not a multiple of 9.
Divisible by 10
3521 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 3521 within several notable number theory sequences:
Timeline
Deep dive
How 3521 breaks down
3521 carries 4 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 511, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110111000001 supports bitwise reasoning, hexadecimal DC1 aligns with computing notation, and the Roman numeral MMMDXXI keeps the encyclopedic tradition alive. These attributes make 3521 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3521 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3516–3526) to tune search ranges, and educators feature 3521 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 3521 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 3521
Is 3521 a prime number?
3521 is composite with 4 total factors and the prime factorization 7 × 503.
What is the prime factorization of 3521?
It breaks down as 7 × 503, multiplying the primes 7 × 503.
How is 3521 represented in binary and hexadecimal?
3521 converts to 110111000001 in binary and DC1 in hexadecimal, which are helpful for computer science applications.
Is 3521 a perfect square, cube, or triangular number?
3521 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3521?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.