8382
8382 is a even composite number that follows 8381 and precedes 8383. It is composed of 16 distinct factors: 1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191, 8382. Its prime factorization can be written as 2 × 3 × 11 × 127. 8382 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8382 is represented as 10000010111110 in binary and 20BE in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 11 × 127) reveals 4 prime building blocks.
Divisible by 2
8382 ends in 2, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 82 are not divisible by 4.
Divisible by 5
8382 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 21 is not a multiple of 9.
Divisible by 10
8382 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Abundant classification and digit analytics place 8382 within several notable number theory sequences:
Timeline
Deep dive
How 8382 breaks down
8382 carries 16 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 10050, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000010111110 supports bitwise reasoning, hexadecimal 20BE aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8382 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8382 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8377–8387) to tune search ranges, and educators feature 8382 in worksheets about factor trees. Its binary footprint of length 14 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 8382 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 8382
Is 8382 a prime number?
8382 is composite with 16 total factors and the prime factorization 2 × 3 × 11 × 127.
What is the prime factorization of 8382?
It breaks down as 2 × 3 × 11 × 127, multiplying the primes 2 × 3 × 11 × 127.
How is 8382 represented in binary and hexadecimal?
8382 converts to 10000010111110 in binary and 20BE in hexadecimal, which are helpful for computer science applications.
Is 8382 a perfect square, cube, or triangular number?
8382 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8382?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.