241
241 is a odd prime number that follows 240 and precedes 242. As a prime number, 241 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 241. 241 is classified as a deficient number based on the sum of its proper divisors. In computer science, 241 is represented as 11110001 in binary and F1 in hexadecimal. Historically, it is written as CCXLI in Roman numerals.
Factor Analysis
2 FactorsProperties
241 is prime, so its only factors are 1 and 241.
Divisible by 2
241 ends in 1, so it is odd.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 41 are not divisible by 4.
Divisible by 5
241 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 7 is not a multiple of 9.
Divisible by 10
241 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 241 within several notable number theory sequences:
Timeline
Deep dive
How 241 breaks down
241 carries 2 distinct factors and a digit signature of 7 (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 11110001 supports bitwise reasoning, hexadecimal F1 aligns with computing notation, and the Roman numeral CCXLI keeps the encyclopedic tradition alive. These attributes make 241 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 241 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (236–246) to tune search ranges, and educators feature 241 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 241 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 241
Is 241 a prime number?
241 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 241?
241 is already prime, so the factorization is simply 241.
How is 241 represented in binary and hexadecimal?
241 converts to 11110001 in binary and F1 in hexadecimal, which are helpful for computer science applications.
Is 241 a perfect square, cube, or triangular number?
241 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 241?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.