8379
8379 is a odd composite number that follows 8378 and precedes 8380. It is composed of 18 distinct factors: 1, 3, 7, 9, 19, 21, 49, 57, 63, 133, 147, 171, 399, 441, 931, 1197, 2793, 8379. Its prime factorization can be written as 3^2 × 7^2 × 19. 8379 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8379 is represented as 10000010111011 in binary and 20BB in hexadecimal.
Factor Analysis
18 FactorsProperties
The prime factorization (3^2 × 7^2 × 19) reveals 5 prime building blocks.
Divisible by 2
8379 ends in 9, so it is odd.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
8379 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 27 is a multiple of 9.
Divisible by 10
8379 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 8379 within several notable number theory sequences:
Timeline
Deep dive
How 8379 breaks down
8379 carries 18 distinct factors and a digit signature of 27 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 6441, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000010111011 supports bitwise reasoning, hexadecimal 20BB aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8379 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8379 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8374–8384) to tune search ranges, and educators feature 8379 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, Deficient numbers) help historians, numerologists, and trivia writers tie 8379 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 8379
Is 8379 a prime number?
8379 is composite with 18 total factors and the prime factorization 3^2 × 7^2 × 19.
What is the prime factorization of 8379?
It breaks down as 3^2 × 7^2 × 19, multiplying the primes 3 × 3 × 7 × 7 × 19.
How is 8379 represented in binary and hexadecimal?
8379 converts to 10000010111011 in binary and 20BB in hexadecimal, which are helpful for computer science applications.
Is 8379 a perfect square, cube, or triangular number?
8379 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8379?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.