8193
8193 is a odd composite number that follows 8192 and precedes 8194. It is composed of 4 distinct factors: 1, 3, 2731, 8193. Its prime factorization can be written as 3 × 2731. 8193 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8193 is represented as 10000000000001 in binary and 2001 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 2731) reveals 2 prime building blocks.
Divisible by 2
8193 ends in 3, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 93 are not divisible by 4.
Divisible by 5
8193 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 21 is not a multiple of 9.
Divisible by 10
8193 does not end in 0.
Divisible by 11
The alternating digit sum 13 is not a multiple of 11.
Deficient classification and digit analytics place 8193 within several notable number theory sequences:
Timeline
Deep dive
How 8193 breaks down
8193 carries 4 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 2735, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000000000001 supports bitwise reasoning, hexadecimal 2001 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8193 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8193 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8188–8198) to tune search ranges, and educators feature 8193 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, Deficient numbers) help historians, numerologists, and trivia writers tie 8193 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 8193
Is 8193 a prime number?
8193 is composite with 4 total factors and the prime factorization 3 × 2731.
What is the prime factorization of 8193?
It breaks down as 3 × 2731, multiplying the primes 3 × 2731.
How is 8193 represented in binary and hexadecimal?
8193 converts to 10000000000001 in binary and 2001 in hexadecimal, which are helpful for computer science applications.
Is 8193 a perfect square, cube, or triangular number?
8193 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8193?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.