3697
3697 is a odd prime number that follows 3696 and precedes 3698. As a prime number, 3697 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3697. 3697 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3697 is represented as 111001110001 in binary and E71 in hexadecimal. Historically, it is written as MMMDCXCVII in Roman numerals.
Factor Analysis
2 FactorsProperties
3697 is prime, so its only factors are 1 and 3697.
Divisible by 2
3697 ends in 7, so it is odd.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 97 are not divisible by 4.
Divisible by 5
3697 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 25 is not a multiple of 9.
Divisible by 10
3697 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 3697 within several notable number theory sequences:
Timeline
Deep dive
How 3697 breaks down
3697 carries 2 distinct factors and a digit signature of 25 (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 111001110001 supports bitwise reasoning, hexadecimal E71 aligns with computing notation, and the Roman numeral MMMDCXCVII keeps the encyclopedic tradition alive. These attributes make 3697 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3697 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3692–3702) to tune search ranges, and educators feature 3697 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 3697 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 3697
Is 3697 a prime number?
3697 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3697?
3697 is already prime, so the factorization is simply 3697.
How is 3697 represented in binary and hexadecimal?
3697 converts to 111001110001 in binary and E71 in hexadecimal, which are helpful for computer science applications.
Is 3697 a perfect square, cube, or triangular number?
3697 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3697?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.