8900
8900 is a even composite number that follows 8899 and precedes 8901. It is composed of 18 distinct factors: 1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900. Its prime factorization can be written as 2^2 × 5^2 × 89. 8900 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8900 is represented as 10001011000100 in binary and 22C4 in hexadecimal.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 5^2 × 89) reveals 5 prime building blocks.
Divisible by 2
8900 ends in 0, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 00 form a multiple of 4.
Divisible by 5
8900 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 17 is not a multiple of 9.
Divisible by 10
8900 ends in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 8900 within several notable number theory sequences:
Timeline
Deep dive
How 8900 breaks down
8900 carries 18 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 10630, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001011000100 supports bitwise reasoning, hexadecimal 22C4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8900 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8900 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8895–8905) to tune search ranges, and educators feature 8900 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 8900 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 8900
Is 8900 a prime number?
8900 is composite with 18 total factors and the prime factorization 2^2 × 5^2 × 89.
What is the prime factorization of 8900?
It breaks down as 2^2 × 5^2 × 89, multiplying the primes 2 × 2 × 5 × 5 × 89.
How is 8900 represented in binary and hexadecimal?
8900 converts to 10001011000100 in binary and 22C4 in hexadecimal, which are helpful for computer science applications.
Is 8900 a perfect square, cube, or triangular number?
8900 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8900?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.