1482
1482 is a even composite number that follows 1481 and precedes 1483. It is composed of 16 distinct factors: 1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 78, 114, 247, 494, 741, 1482. Its prime factorization can be written as 2 × 3 × 13 × 19. 1482 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1482 is represented as 10111001010 in binary and 5CA in hexadecimal. Historically, it is written as MCDLXXXII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 13 × 19) reveals 4 prime building blocks.
Divisible by 2
1482 ends in 2, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 82 are not divisible by 4.
Divisible by 5
1482 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 15 is not a multiple of 9.
Divisible by 10
1482 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 1482 within several notable number theory sequences:
Timeline
Deep dive
How 1482 breaks down
1482 carries 16 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 1878, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10111001010 supports bitwise reasoning, hexadecimal 5CA aligns with computing notation, and the Roman numeral MCDLXXXII keeps the encyclopedic tradition alive. These attributes make 1482 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1482 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1477–1487) to tune search ranges, and educators feature 1482 in worksheets about factor trees. Its binary footprint of length 11 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 1482 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 1482
Is 1482 a prime number?
1482 is composite with 16 total factors and the prime factorization 2 × 3 × 13 × 19.
What is the prime factorization of 1482?
It breaks down as 2 × 3 × 13 × 19, multiplying the primes 2 × 3 × 13 × 19.
How is 1482 represented in binary and hexadecimal?
1482 converts to 10111001010 in binary and 5CA in hexadecimal, which are helpful for computer science applications.
Is 1482 a perfect square, cube, or triangular number?
1482 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1482?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.