982
982 is a even composite number that follows 981 and precedes 983. It is composed of 4 distinct factors: 1, 2, 491, 982. Its prime factorization can be written as 2 × 491. 982 is classified as a deficient number based on the sum of its proper divisors. In computer science, 982 is represented as 1111010110 in binary and 3D6 in hexadecimal. Historically, it is written as CMLXXXII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 491) reveals 2 prime building blocks.
Divisible by 2
982 ends in 2, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 82 are not divisible by 4.
Divisible by 5
982 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 19 is not a multiple of 9.
Divisible by 10
982 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 982 within several notable number theory sequences:
Timeline
Deep dive
How 982 breaks down
982 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 494, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111010110 supports bitwise reasoning, hexadecimal 3D6 aligns with computing notation, and the Roman numeral CMLXXXII keeps the encyclopedic tradition alive. These attributes make 982 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 982 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (977–987) to tune search ranges, and educators feature 982 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 982 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 982
Is 982 a prime number?
982 is composite with 4 total factors and the prime factorization 2 × 491.
What is the prime factorization of 982?
It breaks down as 2 × 491, multiplying the primes 2 × 491.
How is 982 represented in binary and hexadecimal?
982 converts to 1111010110 in binary and 3D6 in hexadecimal, which are helpful for computer science applications.
Is 982 a perfect square, cube, or triangular number?
982 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 982?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.