1201
1201 is a odd prime number that follows 1200 and precedes 1202. As a prime number, 1201 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1201. 1201 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1201 is represented as 10010110001 in binary and 4B1 in hexadecimal. Historically, it is written as MCCI in Roman numerals.
Factor Analysis
2 FactorsProperties
1201 is prime, so its only factors are 1 and 1201.
Divisible by 2
1201 ends in 1, so it is odd.
Divisible by 3
The digit sum 4 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
1201 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 4 is not a multiple of 9.
Divisible by 10
1201 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 1201 within several notable number theory sequences:
Timeline
Deep dive
How 1201 breaks down
1201 carries 2 distinct factors and a digit signature of 4 (4 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 10010110001 supports bitwise reasoning, hexadecimal 4B1 aligns with computing notation, and the Roman numeral MCCI keeps the encyclopedic tradition alive. These attributes make 1201 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1201 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1196–1206) to tune search ranges, and educators feature 1201 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 1201 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 1201
Is 1201 a prime number?
1201 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1201?
1201 is already prime, so the factorization is simply 1201.
How is 1201 represented in binary and hexadecimal?
1201 converts to 10010110001 in binary and 4B1 in hexadecimal, which are helpful for computer science applications.
Is 1201 a perfect square, cube, or triangular number?
1201 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1201?
The digits sum to 4, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.