3522
3522 is a even composite number that follows 3521 and precedes 3523. It is composed of 8 distinct factors: 1, 2, 3, 6, 587, 1174, 1761, 3522. Its prime factorization can be written as 2 × 3 × 587. 3522 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3522 is represented as 110111000010 in binary and DC2 in hexadecimal. Historically, it is written as MMMDXXII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 587) reveals 3 prime building blocks.
Divisible by 2
3522 ends in 2, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 22 are not divisible by 4.
Divisible by 5
3522 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 12 is not a multiple of 9.
Divisible by 10
3522 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Abundant classification and digit analytics place 3522 within several notable number theory sequences:
Timeline
Deep dive
How 3522 breaks down
3522 carries 8 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 3534, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110111000010 supports bitwise reasoning, hexadecimal DC2 aligns with computing notation, and the Roman numeral MMMDXXII keeps the encyclopedic tradition alive. These attributes make 3522 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3522 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3517–3527) to tune search ranges, and educators feature 3522 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 3522 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 3522
Is 3522 a prime number?
3522 is composite with 8 total factors and the prime factorization 2 × 3 × 587.
What is the prime factorization of 3522?
It breaks down as 2 × 3 × 587, multiplying the primes 2 × 3 × 587.
How is 3522 represented in binary and hexadecimal?
3522 converts to 110111000010 in binary and DC2 in hexadecimal, which are helpful for computer science applications.
Is 3522 a perfect square, cube, or triangular number?
3522 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3522?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.