795
795 is a odd composite number that follows 794 and precedes 796. It is composed of 8 distinct factors: 1, 3, 5, 15, 53, 159, 265, 795. Its prime factorization can be written as 3 × 5 × 53. 795 is classified as a deficient number based on the sum of its proper divisors. In computer science, 795 is represented as 1100011011 in binary and 31B in hexadecimal. Historically, it is written as DCCXCV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 5 × 53) reveals 3 prime building blocks.
Divisible by 2
795 ends in 5, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 95 are not divisible by 4.
Divisible by 5
795 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 21 is not a multiple of 9.
Divisible by 10
795 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 795 within several notable number theory sequences:
Timeline
Deep dive
How 795 breaks down
795 carries 8 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 501, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100011011 supports bitwise reasoning, hexadecimal 31B aligns with computing notation, and the Roman numeral DCCXCV keeps the encyclopedic tradition alive. These attributes make 795 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 795 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (790–800) to tune search ranges, and educators feature 795 in worksheets about factor trees. Its binary footprint of length 10 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 795 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 795
Is 795 a prime number?
795 is composite with 8 total factors and the prime factorization 3 × 5 × 53.
What is the prime factorization of 795?
It breaks down as 3 × 5 × 53, multiplying the primes 3 × 5 × 53.
How is 795 represented in binary and hexadecimal?
795 converts to 1100011011 in binary and 31B in hexadecimal, which are helpful for computer science applications.
Is 795 a perfect square, cube, or triangular number?
795 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 795?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.