997
997 is a odd prime number that follows 996 and precedes 998. As a prime number, 997 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 997. 997 is classified as a deficient number based on the sum of its proper divisors. In computer science, 997 is represented as 1111100101 in binary and 3E5 in hexadecimal. Historically, it is written as CMXCVII in Roman numerals.
Factor Analysis
2 FactorsProperties
997 is prime, so its only factors are 1 and 997.
Divisible by 2
997 ends in 7, so it is odd.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 97 are not divisible by 4.
Divisible by 5
997 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
997 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 997 within several notable number theory sequences:
Timeline
Deep dive
How 997 breaks down
997 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 1111100101 supports bitwise reasoning, hexadecimal 3E5 aligns with computing notation, and the Roman numeral CMXCVII keeps the encyclopedic tradition alive. These attributes make 997 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 997 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (992–1002) to tune search ranges, and educators feature 997 in worksheets about prime identification. Its binary footprint of length 10 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 997 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 997
Is 997 a prime number?
997 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 997?
997 is already prime, so the factorization is simply 997.
How is 997 represented in binary and hexadecimal?
997 converts to 1111100101 in binary and 3E5 in hexadecimal, which are helpful for computer science applications.
Is 997 a perfect square, cube, or triangular number?
997 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 997?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.