8988
8988 is a even composite number that follows 8987 and precedes 8989. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 107, 214, 321, 428, 642, 749, 1284, 1498, 2247, 2996, 4494, 8988. Its prime factorization can be written as 2^2 × 3 × 7 × 107. 8988 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8988 is represented as 10001100011100 in binary and 231C in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3 × 7 × 107) reveals 5 prime building blocks.
Divisible by 2
8988 ends in 8, so it is even.
Divisible by 3
The digit sum 33 is a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
8988 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 33 is not a multiple of 9.
Divisible by 10
8988 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 8988 within several notable number theory sequences:
Timeline
Deep dive
How 8988 breaks down
8988 carries 24 distinct factors and a digit signature of 33 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 15204, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001100011100 supports bitwise reasoning, hexadecimal 231C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8988 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8988 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8983–8993) to tune search ranges, and educators feature 8988 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 8988 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 8988
Is 8988 a prime number?
8988 is composite with 24 total factors and the prime factorization 2^2 × 3 × 7 × 107.
What is the prime factorization of 8988?
It breaks down as 2^2 × 3 × 7 × 107, multiplying the primes 2 × 2 × 3 × 7 × 107.
How is 8988 represented in binary and hexadecimal?
8988 converts to 10001100011100 in binary and 231C in hexadecimal, which are helpful for computer science applications.
Is 8988 a perfect square, cube, or triangular number?
8988 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8988?
The digits sum to 33, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.