3523
3523 is a odd composite number that follows 3522 and precedes 3524. It is composed of 4 distinct factors: 1, 13, 271, 3523. Its prime factorization can be written as 13 × 271. 3523 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3523 is represented as 110111000011 in binary and DC3 in hexadecimal. Historically, it is written as MMMDXXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 271) reveals 2 prime building blocks.
Divisible by 2
3523 ends in 3, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 23 are not divisible by 4.
Divisible by 5
3523 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 13 is not a multiple of 9.
Divisible by 10
3523 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 3523 within several notable number theory sequences:
Timeline
Deep dive
How 3523 breaks down
3523 carries 4 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 285, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110111000011 supports bitwise reasoning, hexadecimal DC3 aligns with computing notation, and the Roman numeral MMMDXXIII keeps the encyclopedic tradition alive. These attributes make 3523 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3523 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3518–3528) to tune search ranges, and educators feature 3523 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 3523 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 3523
Is 3523 a prime number?
3523 is composite with 4 total factors and the prime factorization 13 × 271.
What is the prime factorization of 3523?
It breaks down as 13 × 271, multiplying the primes 13 × 271.
How is 3523 represented in binary and hexadecimal?
3523 converts to 110111000011 in binary and DC3 in hexadecimal, which are helpful for computer science applications.
Is 3523 a perfect square, cube, or triangular number?
3523 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3523?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.