8408
8408 is a even composite number that follows 8407 and precedes 8409. It is composed of 8 distinct factors: 1, 2, 4, 8, 1051, 2102, 4204, 8408. Its prime factorization can be written as 2^3 × 1051. 8408 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8408 is represented as 10000011011000 in binary and 20D8 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 1051) reveals 4 prime building blocks.
Divisible by 2
8408 ends in 8, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
8408 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 20 is not a multiple of 9.
Divisible by 10
8408 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 8408 within several notable number theory sequences:
Timeline
Deep dive
How 8408 breaks down
8408 carries 8 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 7372, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000011011000 supports bitwise reasoning, hexadecimal 20D8 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8408 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8408 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8403–8413) to tune search ranges, and educators feature 8408 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 8408 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 8408
Is 8408 a prime number?
8408 is composite with 8 total factors and the prime factorization 2^3 × 1051.
What is the prime factorization of 8408?
It breaks down as 2^3 × 1051, multiplying the primes 2 × 2 × 2 × 1051.
How is 8408 represented in binary and hexadecimal?
8408 converts to 10000011011000 in binary and 20D8 in hexadecimal, which are helpful for computer science applications.
Is 8408 a perfect square, cube, or triangular number?
8408 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8408?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.