482
482 is a even composite number that follows 481 and precedes 483. It is composed of 4 distinct factors: 1, 2, 241, 482. Its prime factorization can be written as 2 × 241. 482 is classified as a deficient number based on the sum of its proper divisors. In computer science, 482 is represented as 111100010 in binary and 1E2 in hexadecimal. Historically, it is written as CDLXXXII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 241) reveals 2 prime building blocks.
Divisible by 2
482 ends in 2, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 82 are not divisible by 4.
Divisible by 5
482 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 14 is not a multiple of 9.
Divisible by 10
482 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 482 within several notable number theory sequences:
Timeline
Deep dive
How 482 breaks down
482 carries 4 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 244, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111100010 supports bitwise reasoning, hexadecimal 1E2 aligns with computing notation, and the Roman numeral CDLXXXII keeps the encyclopedic tradition alive. These attributes make 482 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 482 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (477–487) to tune search ranges, and educators feature 482 in worksheets about factor trees. Its binary footprint of length 9 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 482 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 482
Is 482 a prime number?
482 is composite with 4 total factors and the prime factorization 2 × 241.
What is the prime factorization of 482?
It breaks down as 2 × 241, multiplying the primes 2 × 241.
How is 482 represented in binary and hexadecimal?
482 converts to 111100010 in binary and 1E2 in hexadecimal, which are helpful for computer science applications.
Is 482 a perfect square, cube, or triangular number?
482 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 482?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.