197
197 is a odd prime number that follows 196 and precedes 198. As a prime number, 197 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 197. 197 is classified as a deficient number based on the sum of its proper divisors. In computer science, 197 is represented as 11000101 in binary and C5 in hexadecimal. Historically, it is written as CXCVII in Roman numerals.
Factor Analysis
2 FactorsProperties
197 is prime, so its only factors are 1 and 197.
Divisible by 2
197 ends in 7, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 97 are not divisible by 4.
Divisible by 5
197 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 17 is not a multiple of 9.
Divisible by 10
197 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 197 within several notable number theory sequences:
Timeline
Deep dive
How 197 breaks down
197 carries 2 distinct factors and a digit signature of 17 (8 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 11000101 supports bitwise reasoning, hexadecimal C5 aligns with computing notation, and the Roman numeral CXCVII keeps the encyclopedic tradition alive. These attributes make 197 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 197 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (192–202) to tune search ranges, and educators feature 197 in worksheets about prime identification. Its binary footprint of length 8 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 197 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 197
Is 197 a prime number?
197 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 197?
197 is already prime, so the factorization is simply 197.
How is 197 represented in binary and hexadecimal?
197 converts to 11000101 in binary and C5 in hexadecimal, which are helpful for computer science applications.
Is 197 a perfect square, cube, or triangular number?
197 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 197?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.