798
798 is a even composite number that follows 797 and precedes 799. It is composed of 16 distinct factors: 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798. Its prime factorization can be written as 2 × 3 × 7 × 19. 798 is classified as a abundant number based on the sum of its proper divisors. In computer science, 798 is represented as 1100011110 in binary and 31E in hexadecimal. Historically, it is written as DCCXCVIII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 7 × 19) reveals 4 prime building blocks.
Divisible by 2
798 ends in 8, so it is even.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 98 are not divisible by 4.
Divisible by 5
798 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 24 is not a multiple of 9.
Divisible by 10
798 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 798 within several notable number theory sequences:
Timeline
Deep dive
How 798 breaks down
798 carries 16 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 1122, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100011110 supports bitwise reasoning, hexadecimal 31E aligns with computing notation, and the Roman numeral DCCXCVIII keeps the encyclopedic tradition alive. These attributes make 798 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 798 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (793–803) to tune search ranges, and educators feature 798 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, Abundant numbers) help historians, numerologists, and trivia writers tie 798 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 798
Is 798 a prime number?
798 is composite with 16 total factors and the prime factorization 2 × 3 × 7 × 19.
What is the prime factorization of 798?
It breaks down as 2 × 3 × 7 × 19, multiplying the primes 2 × 3 × 7 × 19.
How is 798 represented in binary and hexadecimal?
798 converts to 1100011110 in binary and 31E in hexadecimal, which are helpful for computer science applications.
Is 798 a perfect square, cube, or triangular number?
798 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 798?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.