3695
3695 is a odd composite number that follows 3694 and precedes 3696. It is composed of 4 distinct factors: 1, 5, 739, 3695. Its prime factorization can be written as 5 × 739. 3695 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3695 is represented as 111001101111 in binary and E6F in hexadecimal. Historically, it is written as MMMDCXCV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (5 × 739) reveals 2 prime building blocks.
Divisible by 2
3695 ends in 5, so it is odd.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 95 are not divisible by 4.
Divisible by 5
3695 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 23 is not a multiple of 9.
Divisible by 10
3695 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 3695 within several notable number theory sequences:
Timeline
Deep dive
How 3695 breaks down
3695 carries 4 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 745, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111001101111 supports bitwise reasoning, hexadecimal E6F aligns with computing notation, and the Roman numeral MMMDCXCV keeps the encyclopedic tradition alive. These attributes make 3695 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3695 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3690–3700) to tune search ranges, and educators feature 3695 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 3695 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 3695
Is 3695 a prime number?
3695 is composite with 4 total factors and the prime factorization 5 × 739.
What is the prime factorization of 3695?
It breaks down as 5 × 739, multiplying the primes 5 × 739.
How is 3695 represented in binary and hexadecimal?
3695 converts to 111001101111 in binary and E6F in hexadecimal, which are helpful for computer science applications.
Is 3695 a perfect square, cube, or triangular number?
3695 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3695?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.