8090
8090 is a even composite number that follows 8089 and precedes 8091. It is composed of 8 distinct factors: 1, 2, 5, 10, 809, 1618, 4045, 8090. Its prime factorization can be written as 2 × 5 × 809. 8090 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8090 is represented as 1111110011010 in binary and 1F9A in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 809) reveals 3 prime building blocks.
Divisible by 2
8090 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 90 are not divisible by 4.
Divisible by 5
8090 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
8090 ends in 0.
Divisible by 11
The alternating digit sum 17 is not a multiple of 11.
Deficient classification and digit analytics place 8090 within several notable number theory sequences:
Timeline
Deep dive
How 8090 breaks down
8090 carries 8 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 6490, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111110011010 supports bitwise reasoning, hexadecimal 1F9A aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8090 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8090 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8085–8095) to tune search ranges, and educators feature 8090 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, Deficient numbers) help historians, numerologists, and trivia writers tie 8090 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 8090
Is 8090 a prime number?
8090 is composite with 8 total factors and the prime factorization 2 × 5 × 809.
What is the prime factorization of 8090?
It breaks down as 2 × 5 × 809, multiplying the primes 2 × 5 × 809.
How is 8090 represented in binary and hexadecimal?
8090 converts to 1111110011010 in binary and 1F9A in hexadecimal, which are helpful for computer science applications.
Is 8090 a perfect square, cube, or triangular number?
8090 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8090?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.