2695
2695 is a odd composite number that follows 2694 and precedes 2696. It is composed of 12 distinct factors: 1, 5, 7, 11, 35, 49, 55, 77, 245, 385, 539, 2695. Its prime factorization can be written as 5 × 7^2 × 11. 2695 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2695 is represented as 101010000111 in binary and A87 in hexadecimal. Historically, it is written as MMDCXCV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (5 × 7^2 × 11) reveals 4 prime building blocks.
Divisible by 2
2695 ends in 5, so it is odd.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 95 are not divisible by 4.
Divisible by 5
2695 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 22 is not a multiple of 9.
Divisible by 10
2695 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 2695 within several notable number theory sequences:
Timeline
Deep dive
How 2695 breaks down
2695 carries 12 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1409, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010000111 supports bitwise reasoning, hexadecimal A87 aligns with computing notation, and the Roman numeral MMDCXCV keeps the encyclopedic tradition alive. These attributes make 2695 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2695 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2690–2700) to tune search ranges, and educators feature 2695 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 2695 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 2695
Is 2695 a prime number?
2695 is composite with 12 total factors and the prime factorization 5 × 7^2 × 11.
What is the prime factorization of 2695?
It breaks down as 5 × 7^2 × 11, multiplying the primes 5 × 7 × 7 × 11.
How is 2695 represented in binary and hexadecimal?
2695 converts to 101010000111 in binary and A87 in hexadecimal, which are helpful for computer science applications.
Is 2695 a perfect square, cube, or triangular number?
2695 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2695?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.