791
791 is a odd composite number that follows 790 and precedes 792. It is composed of 4 distinct factors: 1, 7, 113, 791. Its prime factorization can be written as 7 × 113. 791 is classified as a deficient number based on the sum of its proper divisors. In computer science, 791 is represented as 1100010111 in binary and 317 in hexadecimal. Historically, it is written as DCCXCI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (7 × 113) reveals 2 prime building blocks.
Divisible by 2
791 ends in 1, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 91 are not divisible by 4.
Divisible by 5
791 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 17 is not a multiple of 9.
Divisible by 10
791 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 791 within several notable number theory sequences:
Timeline
Deep dive
How 791 breaks down
791 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 121, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100010111 supports bitwise reasoning, hexadecimal 317 aligns with computing notation, and the Roman numeral DCCXCI keeps the encyclopedic tradition alive. These attributes make 791 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 791 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (786–796) to tune search ranges, and educators feature 791 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 791 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 791
Is 791 a prime number?
791 is composite with 4 total factors and the prime factorization 7 × 113.
What is the prime factorization of 791?
It breaks down as 7 × 113, multiplying the primes 7 × 113.
How is 791 represented in binary and hexadecimal?
791 converts to 1100010111 in binary and 317 in hexadecimal, which are helpful for computer science applications.
Is 791 a perfect square, cube, or triangular number?
791 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 791?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.