3613
3613 is a odd prime number that follows 3612 and precedes 3614. As a prime number, 3613 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3613. 3613 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3613 is represented as 111000011101 in binary and E1D in hexadecimal. Historically, it is written as MMMDCXIII in Roman numerals.
Factor Analysis
2 FactorsProperties
3613 is prime, so its only factors are 1 and 3613.
Divisible by 2
3613 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 13 are not divisible by 4.
Divisible by 5
3613 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
3613 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 3613 within several notable number theory sequences:
Timeline
Deep dive
How 3613 breaks down
3613 carries 2 distinct factors and a digit signature of 13 (4 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 111000011101 supports bitwise reasoning, hexadecimal E1D aligns with computing notation, and the Roman numeral MMMDCXIII keeps the encyclopedic tradition alive. These attributes make 3613 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3613 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3608–3618) to tune search ranges, and educators feature 3613 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 3613 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 3613
Is 3613 a prime number?
3613 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3613?
3613 is already prime, so the factorization is simply 3613.
How is 3613 represented in binary and hexadecimal?
3613 converts to 111000011101 in binary and E1D in hexadecimal, which are helpful for computer science applications.
Is 3613 a perfect square, cube, or triangular number?
3613 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3613?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.