8984
8984 is a even composite number that follows 8983 and precedes 8985. It is composed of 8 distinct factors: 1, 2, 4, 8, 1123, 2246, 4492, 8984. Its prime factorization can be written as 2^3 × 1123. 8984 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8984 is represented as 10001100011000 in binary and 2318 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 1123) reveals 4 prime building blocks.
Divisible by 2
8984 ends in 4, so it is even.
Divisible by 3
The digit sum 29 is not a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
8984 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 29 is not a multiple of 9.
Divisible by 10
8984 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 8984 within several notable number theory sequences:
Timeline
Deep dive
How 8984 breaks down
8984 carries 8 distinct factors and a digit signature of 29 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 7876, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001100011000 supports bitwise reasoning, hexadecimal 2318 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8984 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8984 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8979–8989) to tune search ranges, and educators feature 8984 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 8984 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 8984
Is 8984 a prime number?
8984 is composite with 8 total factors and the prime factorization 2^3 × 1123.
What is the prime factorization of 8984?
It breaks down as 2^3 × 1123, multiplying the primes 2 × 2 × 2 × 1123.
How is 8984 represented in binary and hexadecimal?
8984 converts to 10001100011000 in binary and 2318 in hexadecimal, which are helpful for computer science applications.
Is 8984 a perfect square, cube, or triangular number?
8984 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8984?
The digits sum to 29, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.