4943
4943 is a odd prime number that follows 4942 and precedes 4944. As a prime number, 4943 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 4943. 4943 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4943 is represented as 1001101001111 in binary and 134F in hexadecimal.
Factor Analysis
2 FactorsProperties
4943 is prime, so its only factors are 1 and 4943.
Divisible by 2
4943 ends in 3, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 43 are not divisible by 4.
Divisible by 5
4943 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 20 is not a multiple of 9.
Divisible by 10
4943 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 4943 within several notable number theory sequences:
Timeline
Deep dive
How 4943 breaks down
4943 carries 2 distinct factors and a digit signature of 20 (2 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 1001101001111 supports bitwise reasoning, hexadecimal 134F aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4943 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4943 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4938–4948) to tune search ranges, and educators feature 4943 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 4943 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 4943
Is 4943 a prime number?
4943 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 4943?
4943 is already prime, so the factorization is simply 4943.
How is 4943 represented in binary and hexadecimal?
4943 converts to 1001101001111 in binary and 134F in hexadecimal, which are helpful for computer science applications.
Is 4943 a perfect square, cube, or triangular number?
4943 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4943?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.