2391
2391 is a odd composite number that follows 2390 and precedes 2392. It is composed of 4 distinct factors: 1, 3, 797, 2391. Its prime factorization can be written as 3 × 797. 2391 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2391 is represented as 100101010111 in binary and 957 in hexadecimal. Historically, it is written as MMCCCXCI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 797) reveals 2 prime building blocks.
Divisible by 2
2391 ends in 1, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 91 are not divisible by 4.
Divisible by 5
2391 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 15 is not a multiple of 9.
Divisible by 10
2391 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 2391 within several notable number theory sequences:
Timeline
Deep dive
How 2391 breaks down
2391 carries 4 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 801, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101010111 supports bitwise reasoning, hexadecimal 957 aligns with computing notation, and the Roman numeral MMCCCXCI keeps the encyclopedic tradition alive. These attributes make 2391 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2391 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2386–2396) to tune search ranges, and educators feature 2391 in worksheets about factor trees. Its binary footprint of length 12 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 2391 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 2391
Is 2391 a prime number?
2391 is composite with 4 total factors and the prime factorization 3 × 797.
What is the prime factorization of 2391?
It breaks down as 3 × 797, multiplying the primes 3 × 797.
How is 2391 represented in binary and hexadecimal?
2391 converts to 100101010111 in binary and 957 in hexadecimal, which are helpful for computer science applications.
Is 2391 a perfect square, cube, or triangular number?
2391 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2391?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.