8780
8780 is a even composite number that follows 8779 and precedes 8781. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780. Its prime factorization can be written as 2^2 × 5 × 439. 8780 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8780 is represented as 10001001001100 in binary and 224C in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 439) reveals 4 prime building blocks.
Divisible by 2
8780 ends in 0, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 80 form a multiple of 4.
Divisible by 5
8780 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 23 is not a multiple of 9.
Divisible by 10
8780 ends in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Abundant classification and digit analytics place 8780 within several notable number theory sequences:
Timeline
Deep dive
How 8780 breaks down
8780 carries 12 distinct factors and a digit signature of 23 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 9700, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001001001100 supports bitwise reasoning, hexadecimal 224C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8780 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8780 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8775–8785) to tune search ranges, and educators feature 8780 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 8780 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 8780
Is 8780 a prime number?
8780 is composite with 12 total factors and the prime factorization 2^2 × 5 × 439.
What is the prime factorization of 8780?
It breaks down as 2^2 × 5 × 439, multiplying the primes 2 × 2 × 5 × 439.
How is 8780 represented in binary and hexadecimal?
8780 converts to 10001001001100 in binary and 224C in hexadecimal, which are helpful for computer science applications.
Is 8780 a perfect square, cube, or triangular number?
8780 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8780?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.