6991
6991 is a odd prime number that follows 6990 and precedes 6992. As a prime number, 6991 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 6991. 6991 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6991 is represented as 1101101001111 in binary and 1B4F in hexadecimal.
Factor Analysis
2 FactorsProperties
6991 is prime, so its only factors are 1 and 6991.
Divisible by 2
6991 ends in 1, so it is odd.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 91 are not divisible by 4.
Divisible by 5
6991 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 25 is not a multiple of 9.
Divisible by 10
6991 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 6991 within several notable number theory sequences:
Timeline
Deep dive
How 6991 breaks down
6991 carries 2 distinct factors and a digit signature of 25 (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 1101101001111 supports bitwise reasoning, hexadecimal 1B4F aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6991 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6991 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6986–6996) to tune search ranges, and educators feature 6991 in worksheets about prime identification. Its binary footprint of length 13 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 6991 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 6991
Is 6991 a prime number?
6991 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 6991?
6991 is already prime, so the factorization is simply 6991.
How is 6991 represented in binary and hexadecimal?
6991 converts to 1101101001111 in binary and 1B4F in hexadecimal, which are helpful for computer science applications.
Is 6991 a perfect square, cube, or triangular number?
6991 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6991?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.