790
790 is a even composite number that follows 789 and precedes 791. It is composed of 8 distinct factors: 1, 2, 5, 10, 79, 158, 395, 790. Its prime factorization can be written as 2 × 5 × 79. 790 is classified as a deficient number based on the sum of its proper divisors. In computer science, 790 is represented as 1100010110 in binary and 316 in hexadecimal. Historically, it is written as DCCXC in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 79) reveals 3 prime building blocks.
Divisible by 2
790 ends in 0, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
790 ends in 0, 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 16 is not a multiple of 9.
Divisible by 10
790 ends in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 790 within several notable number theory sequences:
Timeline
Deep dive
How 790 breaks down
790 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 650, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100010110 supports bitwise reasoning, hexadecimal 316 aligns with computing notation, and the Roman numeral DCCXC keeps the encyclopedic tradition alive. These attributes make 790 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 790 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (785–795) to tune search ranges, and educators feature 790 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 790 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 790
Is 790 a prime number?
790 is composite with 8 total factors and the prime factorization 2 × 5 × 79.
What is the prime factorization of 790?
It breaks down as 2 × 5 × 79, multiplying the primes 2 × 5 × 79.
How is 790 represented in binary and hexadecimal?
790 converts to 1100010110 in binary and 316 in hexadecimal, which are helpful for computer science applications.
Is 790 a perfect square, cube, or triangular number?
790 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 790?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.