3982
3982 is a even composite number that follows 3981 and precedes 3983. It is composed of 8 distinct factors: 1, 2, 11, 22, 181, 362, 1991, 3982. Its prime factorization can be written as 2 × 11 × 181. 3982 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3982 is represented as 111110001110 in binary and F8E in hexadecimal. Historically, it is written as MMMCMLXXXII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 11 × 181) reveals 3 prime building blocks.
Divisible by 2
3982 ends in 2, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 82 are not divisible by 4.
Divisible by 5
3982 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
3982 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 3982 within several notable number theory sequences:
Timeline
Deep dive
How 3982 breaks down
3982 carries 8 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 2570, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111110001110 supports bitwise reasoning, hexadecimal F8E aligns with computing notation, and the Roman numeral MMMCMLXXXII keeps the encyclopedic tradition alive. These attributes make 3982 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3982 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3977–3987) to tune search ranges, and educators feature 3982 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, Deficient numbers) help historians, numerologists, and trivia writers tie 3982 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 3982
Is 3982 a prime number?
3982 is composite with 8 total factors and the prime factorization 2 × 11 × 181.
What is the prime factorization of 3982?
It breaks down as 2 × 11 × 181, multiplying the primes 2 × 11 × 181.
How is 3982 represented in binary and hexadecimal?
3982 converts to 111110001110 in binary and F8E in hexadecimal, which are helpful for computer science applications.
Is 3982 a perfect square, cube, or triangular number?
3982 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3982?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.