1231
1231 is a odd prime number that follows 1230 and precedes 1232. As a prime number, 1231 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1231. 1231 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1231 is represented as 10011001111 in binary and 4CF in hexadecimal. Historically, it is written as MCCXXXI in Roman numerals.
Factor Analysis
2 FactorsProperties
1231 is prime, so its only factors are 1 and 1231.
Divisible by 2
1231 ends in 1, so it is odd.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 31 are not divisible by 4.
Divisible by 5
1231 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 7 is not a multiple of 9.
Divisible by 10
1231 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 1231 within several notable number theory sequences:
Timeline
Deep dive
How 1231 breaks down
1231 carries 2 distinct factors and a digit signature of 7 (7 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 10011001111 supports bitwise reasoning, hexadecimal 4CF aligns with computing notation, and the Roman numeral MCCXXXI keeps the encyclopedic tradition alive. These attributes make 1231 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1231 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1226–1236) to tune search ranges, and educators feature 1231 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 1231 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 1231
Is 1231 a prime number?
1231 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1231?
1231 is already prime, so the factorization is simply 1231.
How is 1231 represented in binary and hexadecimal?
1231 converts to 10011001111 in binary and 4CF in hexadecimal, which are helpful for computer science applications.
Is 1231 a perfect square, cube, or triangular number?
1231 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1231?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.