8120
8120 is a even composite number that follows 8119 and precedes 8121. It is composed of 32 distinct factors: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120. Its prime factorization can be written as 2^3 × 5 × 7 × 29. 8120 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8120 is represented as 1111110111000 in binary and 1FB8 in hexadecimal.
Factor Analysis
32 FactorsProperties
The prime factorization (2^3 × 5 × 7 × 29) reveals 6 prime building blocks.
Divisible by 2
8120 ends in 0, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 20 form a multiple of 4.
Divisible by 5
8120 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 11 is not a multiple of 9.
Divisible by 10
8120 ends in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Abundant classification and digit analytics place 8120 within several notable number theory sequences:
Timeline
Deep dive
How 8120 breaks down
8120 carries 32 distinct factors and a digit signature of 11 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 13480, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111110111000 supports bitwise reasoning, hexadecimal 1FB8 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8120 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8120 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8115–8125) to tune search ranges, and educators feature 8120 in worksheets about factor trees. Its binary footprint of length 13 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 8120 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 8120
Is 8120 a prime number?
8120 is composite with 32 total factors and the prime factorization 2^3 × 5 × 7 × 29.
What is the prime factorization of 8120?
It breaks down as 2^3 × 5 × 7 × 29, multiplying the primes 2 × 2 × 2 × 5 × 7 × 29.
How is 8120 represented in binary and hexadecimal?
8120 converts to 1111110111000 in binary and 1FB8 in hexadecimal, which are helpful for computer science applications.
Is 8120 a perfect square, cube, or triangular number?
8120 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8120?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.