3562
3562 is a even composite number that follows 3561 and precedes 3563. It is composed of 8 distinct factors: 1, 2, 13, 26, 137, 274, 1781, 3562. Its prime factorization can be written as 2 × 13 × 137. 3562 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3562 is represented as 110111101010 in binary and DEA in hexadecimal. Historically, it is written as MMMDLXII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 13 × 137) reveals 3 prime building blocks.
Divisible by 2
3562 ends in 2, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 62 are not divisible by 4.
Divisible by 5
3562 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 16 is not a multiple of 9.
Divisible by 10
3562 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 3562 within several notable number theory sequences:
Timeline
Deep dive
How 3562 breaks down
3562 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 2234, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110111101010 supports bitwise reasoning, hexadecimal DEA aligns with computing notation, and the Roman numeral MMMDLXII keeps the encyclopedic tradition alive. These attributes make 3562 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3562 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3557–3567) to tune search ranges, and educators feature 3562 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 3562 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 3562
Is 3562 a prime number?
3562 is composite with 8 total factors and the prime factorization 2 × 13 × 137.
What is the prime factorization of 3562?
It breaks down as 2 × 13 × 137, multiplying the primes 2 × 13 × 137.
How is 3562 represented in binary and hexadecimal?
3562 converts to 110111101010 in binary and DEA in hexadecimal, which are helpful for computer science applications.
Is 3562 a perfect square, cube, or triangular number?
3562 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3562?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.