7243
7243 is a odd prime number that follows 7242 and precedes 7244. As a prime number, 7243 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 7243. 7243 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7243 is represented as 1110001001011 in binary and 1C4B in hexadecimal.
Factor Analysis
2 FactorsProperties
7243 is prime, so its only factors are 1 and 7243.
Divisible by 2
7243 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 43 are not divisible by 4.
Divisible by 5
7243 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
7243 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 7243 within several notable number theory sequences:
Timeline
Deep dive
How 7243 breaks down
7243 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 1110001001011 supports bitwise reasoning, hexadecimal 1C4B aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7243 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7243 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7238–7248) to tune search ranges, and educators feature 7243 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 7243 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 7243
Is 7243 a prime number?
7243 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 7243?
7243 is already prime, so the factorization is simply 7243.
How is 7243 represented in binary and hexadecimal?
7243 converts to 1110001001011 in binary and 1C4B in hexadecimal, which are helpful for computer science applications.
Is 7243 a perfect square, cube, or triangular number?
7243 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7243?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.