8190
8190 is a even composite number that follows 8189 and precedes 8191. It is composed of 48 distinct factors: 1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 182, 195, 210, 234, 273, 315, 390, 455, 546, 585, 630, 819, 910, 1170, 1365, 1638, 2730, 4095, 8190. Its prime factorization can be written as 2 × 3^2 × 5 × 7 × 13. 8190 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8190 is represented as 1111111111110 in binary and 1FFE in hexadecimal.
Factor Analysis
48 FactorsProperties
The prime factorization (2 × 3^2 × 5 × 7 × 13) reveals 6 prime building blocks.
Divisible by 2
8190 ends in 0, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
8190 ends in 0, so it is divisible by 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 18 is a multiple of 9.
Divisible by 10
8190 ends in 0.
Divisible by 11
The alternating digit sum 16 is not a multiple of 11.
Abundant classification and digit analytics place 8190 within several notable number theory sequences:
Timeline
Deep dive
How 8190 breaks down
8190 carries 48 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 18018, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111111111110 supports bitwise reasoning, hexadecimal 1FFE aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8190 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8190 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8185–8195) to tune search ranges, and educators feature 8190 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 8190 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 8190
Is 8190 a prime number?
8190 is composite with 48 total factors and the prime factorization 2 × 3^2 × 5 × 7 × 13.
What is the prime factorization of 8190?
It breaks down as 2 × 3^2 × 5 × 7 × 13, multiplying the primes 2 × 3 × 3 × 5 × 7 × 13.
How is 8190 represented in binary and hexadecimal?
8190 converts to 1111111111110 in binary and 1FFE in hexadecimal, which are helpful for computer science applications.
Is 8190 a perfect square, cube, or triangular number?
8190 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8190?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.