3798
3798 is a even composite number that follows 3797 and precedes 3799. It is composed of 12 distinct factors: 1, 2, 3, 6, 9, 18, 211, 422, 633, 1266, 1899, 3798. Its prime factorization can be written as 2 × 3^2 × 211. 3798 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3798 is represented as 111011010110 in binary and ED6 in hexadecimal. Historically, it is written as MMMDCCXCVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 3^2 × 211) reveals 4 prime building blocks.
Divisible by 2
3798 ends in 8, so it is even.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 98 are not divisible by 4.
Divisible by 5
3798 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 27 is a multiple of 9.
Divisible by 10
3798 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 3798 within several notable number theory sequences:
Timeline
Deep dive
How 3798 breaks down
3798 carries 12 distinct factors and a digit signature of 27 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 4470, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111011010110 supports bitwise reasoning, hexadecimal ED6 aligns with computing notation, and the Roman numeral MMMDCCXCVIII keeps the encyclopedic tradition alive. These attributes make 3798 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3798 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3793–3803) to tune search ranges, and educators feature 3798 in worksheets about factor trees. Its binary footprint of length 12 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 3798 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 3798
Is 3798 a prime number?
3798 is composite with 12 total factors and the prime factorization 2 × 3^2 × 211.
What is the prime factorization of 3798?
It breaks down as 2 × 3^2 × 211, multiplying the primes 2 × 3 × 3 × 211.
How is 3798 represented in binary and hexadecimal?
3798 converts to 111011010110 in binary and ED6 in hexadecimal, which are helpful for computer science applications.
Is 3798 a perfect square, cube, or triangular number?
3798 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3798?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.