243
243 is a odd composite number that follows 242 and precedes 244. It is composed of 6 distinct factors: 1, 3, 9, 27, 81, 243. Its prime factorization can be written as 3^5. 243 is classified as a deficient number based on the sum of its proper divisors. In computer science, 243 is represented as 11110011 in binary and F3 in hexadecimal. Historically, it is written as CCXLIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^5) reveals 5 prime building blocks.
Divisible by 2
243 ends in 3, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 43 are not divisible by 4.
Divisible by 5
243 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 9 is a multiple of 9.
Divisible by 10
243 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 243 within several notable number theory sequences:
Timeline
Deep dive
How 243 breaks down
243 carries 6 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 121, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11110011 supports bitwise reasoning, hexadecimal F3 aligns with computing notation, and the Roman numeral CCXLIII keeps the encyclopedic tradition alive. These attributes make 243 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 243 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (238–248) to tune search ranges, and educators feature 243 in worksheets about factor trees. Its binary footprint of length 8 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 243 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 243
Is 243 a prime number?
243 is composite with 6 total factors and the prime factorization 3^5.
What is the prime factorization of 243?
It breaks down as 3^5, multiplying the primes 3 × 3 × 3 × 3 × 3.
How is 243 represented in binary and hexadecimal?
243 converts to 11110011 in binary and F3 in hexadecimal, which are helpful for computer science applications.
Is 243 a perfect square, cube, or triangular number?
243 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 243?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.