4093
4093 is a odd prime number that follows 4092 and precedes 4094. As a prime number, 4093 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 4093. 4093 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4093 is represented as 111111111101 in binary and FFD in hexadecimal.
Factor Analysis
2 FactorsProperties
4093 is prime, so its only factors are 1 and 4093.
Divisible by 2
4093 ends in 3, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 93 are not divisible by 4.
Divisible by 5
4093 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 16 is not a multiple of 9.
Divisible by 10
4093 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 4093 within several notable number theory sequences:
Timeline
Deep dive
How 4093 breaks down
4093 carries 2 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111111101 supports bitwise reasoning, hexadecimal FFD aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4093 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4093 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4088–4098) to tune search ranges, and educators feature 4093 in worksheets about prime identification. Its binary footprint of length 12 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 4093 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 4093
Is 4093 a prime number?
4093 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 4093?
4093 is already prime, so the factorization is simply 4093.
How is 4093 represented in binary and hexadecimal?
4093 converts to 111111111101 in binary and FFD in hexadecimal, which are helpful for computer science applications.
Is 4093 a perfect square, cube, or triangular number?
4093 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4093?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.