1341
1341 is a odd composite number that follows 1340 and precedes 1342. It is composed of 6 distinct factors: 1, 3, 9, 149, 447, 1341. Its prime factorization can be written as 3^2 × 149. 1341 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1341 is represented as 10100111101 in binary and 53D in hexadecimal. Historically, it is written as MCCCXLI in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 149) reveals 3 prime building blocks.
Divisible by 2
1341 ends in 1, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 41 are not divisible by 4.
Divisible by 5
1341 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
1341 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 1341 within several notable number theory sequences:
Timeline
Deep dive
How 1341 breaks down
1341 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 609, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10100111101 supports bitwise reasoning, hexadecimal 53D aligns with computing notation, and the Roman numeral MCCCXLI keeps the encyclopedic tradition alive. These attributes make 1341 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1341 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1336–1346) to tune search ranges, and educators feature 1341 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 1341 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 1341
Is 1341 a prime number?
1341 is composite with 6 total factors and the prime factorization 3^2 × 149.
What is the prime factorization of 1341?
It breaks down as 3^2 × 149, multiplying the primes 3 × 3 × 149.
How is 1341 represented in binary and hexadecimal?
1341 converts to 10100111101 in binary and 53D in hexadecimal, which are helpful for computer science applications.
Is 1341 a perfect square, cube, or triangular number?
1341 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1341?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.