3643
3643 is a odd prime number that follows 3642 and precedes 3644. As a prime number, 3643 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3643. 3643 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3643 is represented as 111000111011 in binary and E3B in hexadecimal. Historically, it is written as MMMDCXLIII in Roman numerals.
Factor Analysis
2 FactorsProperties
3643 is prime, so its only factors are 1 and 3643.
Divisible by 2
3643 ends in 3, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 43 are not divisible by 4.
Divisible by 5
3643 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
3643 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 3643 within several notable number theory sequences:
Timeline
Deep dive
How 3643 breaks down
3643 carries 2 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111000111011 supports bitwise reasoning, hexadecimal E3B aligns with computing notation, and the Roman numeral MMMDCXLIII keeps the encyclopedic tradition alive. These attributes make 3643 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3643 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3638–3648) to tune search ranges, and educators feature 3643 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 3643 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 3643
Is 3643 a prime number?
3643 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3643?
3643 is already prime, so the factorization is simply 3643.
How is 3643 represented in binary and hexadecimal?
3643 converts to 111000111011 in binary and E3B in hexadecimal, which are helpful for computer science applications.
Is 3643 a perfect square, cube, or triangular number?
3643 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3643?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.