1261
1261 is a odd composite number that follows 1260 and precedes 1262. It is composed of 4 distinct factors: 1, 13, 97, 1261. Its prime factorization can be written as 13 × 97. 1261 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1261 is represented as 10011101101 in binary and 4ED in hexadecimal. Historically, it is written as MCCLXI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 97) reveals 2 prime building blocks.
Divisible by 2
1261 ends in 1, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 61 are not divisible by 4.
Divisible by 5
1261 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 10 is not a multiple of 9.
Divisible by 10
1261 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 1261 within several notable number theory sequences:
Timeline
Deep dive
How 1261 breaks down
1261 carries 4 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 111, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10011101101 supports bitwise reasoning, hexadecimal 4ED aligns with computing notation, and the Roman numeral MCCLXI keeps the encyclopedic tradition alive. These attributes make 1261 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1261 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1256–1266) to tune search ranges, and educators feature 1261 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 1261 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 1261
Is 1261 a prime number?
1261 is composite with 4 total factors and the prime factorization 13 × 97.
What is the prime factorization of 1261?
It breaks down as 13 × 97, multiplying the primes 13 × 97.
How is 1261 represented in binary and hexadecimal?
1261 converts to 10011101101 in binary and 4ED in hexadecimal, which are helpful for computer science applications.
Is 1261 a perfect square, cube, or triangular number?
1261 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1261?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.