1361
1361 is a odd prime number that follows 1360 and precedes 1362. As a prime number, 1361 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1361. 1361 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1361 is represented as 10101010001 in binary and 551 in hexadecimal. Historically, it is written as MCCCLXI in Roman numerals.
Factor Analysis
2 FactorsProperties
1361 is prime, so its only factors are 1 and 1361.
Divisible by 2
1361 ends in 1, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 61 are not divisible by 4.
Divisible by 5
1361 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 11 is not a multiple of 9.
Divisible by 10
1361 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 1361 within several notable number theory sequences:
Timeline
Deep dive
How 1361 breaks down
1361 carries 2 distinct factors and a digit signature of 11 (2 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 10101010001 supports bitwise reasoning, hexadecimal 551 aligns with computing notation, and the Roman numeral MCCCLXI keeps the encyclopedic tradition alive. These attributes make 1361 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1361 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1356–1366) to tune search ranges, and educators feature 1361 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 1361 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 1361
Is 1361 a prime number?
1361 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1361?
1361 is already prime, so the factorization is simply 1361.
How is 1361 represented in binary and hexadecimal?
1361 converts to 10101010001 in binary and 551 in hexadecimal, which are helpful for computer science applications.
Is 1361 a perfect square, cube, or triangular number?
1361 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1361?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.