796
796 is a even composite number that follows 795 and precedes 797. It is composed of 6 distinct factors: 1, 2, 4, 199, 398, 796. Its prime factorization can be written as 2^2 × 199. 796 is classified as a deficient number based on the sum of its proper divisors. In computer science, 796 is represented as 1100011100 in binary and 31C in hexadecimal. Historically, it is written as DCCXCVI in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 199) reveals 3 prime building blocks.
Divisible by 2
796 ends in 6, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
796 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 22 is not a multiple of 9.
Divisible by 10
796 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 796 within several notable number theory sequences:
Timeline
Deep dive
How 796 breaks down
796 carries 6 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 604, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100011100 supports bitwise reasoning, hexadecimal 31C aligns with computing notation, and the Roman numeral DCCXCVI keeps the encyclopedic tradition alive. These attributes make 796 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 796 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (791–801) to tune search ranges, and educators feature 796 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 796 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 796
Is 796 a prime number?
796 is composite with 6 total factors and the prime factorization 2^2 × 199.
What is the prime factorization of 796?
It breaks down as 2^2 × 199, multiplying the primes 2 × 2 × 199.
How is 796 represented in binary and hexadecimal?
796 converts to 1100011100 in binary and 31C in hexadecimal, which are helpful for computer science applications.
Is 796 a perfect square, cube, or triangular number?
796 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 796?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.