1241
1241 is a odd composite number that follows 1240 and precedes 1242. It is composed of 4 distinct factors: 1, 17, 73, 1241. Its prime factorization can be written as 17 × 73. 1241 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1241 is represented as 10011011001 in binary and 4D9 in hexadecimal. Historically, it is written as MCCXLI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (17 × 73) reveals 2 prime building blocks.
Divisible by 2
1241 ends in 1, so it is odd.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 41 are not divisible by 4.
Divisible by 5
1241 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 8 is not a multiple of 9.
Divisible by 10
1241 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 1241 within several notable number theory sequences:
Timeline
Deep dive
How 1241 breaks down
1241 carries 4 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 91, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10011011001 supports bitwise reasoning, hexadecimal 4D9 aligns with computing notation, and the Roman numeral MCCXLI keeps the encyclopedic tradition alive. These attributes make 1241 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1241 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1236–1246) to tune search ranges, and educators feature 1241 in worksheets about factor trees. Its binary footprint of length 11 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 1241 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 1241
Is 1241 a prime number?
1241 is composite with 4 total factors and the prime factorization 17 × 73.
What is the prime factorization of 1241?
It breaks down as 17 × 73, multiplying the primes 17 × 73.
How is 1241 represented in binary and hexadecimal?
1241 converts to 10011011001 in binary and 4D9 in hexadecimal, which are helpful for computer science applications.
Is 1241 a perfect square, cube, or triangular number?
1241 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1241?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.