97
97 is a odd prime number that follows 96 and precedes 98. As a prime number, 97 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 97. 97 is classified as a deficient number based on the sum of its proper divisors. In computer science, 97 is represented as 1100001 in binary and 61 in hexadecimal. Historically, it is written as XCVII in Roman numerals.
Factor Analysis
2 FactorsProperties
97 is prime, so its only factors are 1 and 97.
Divisible by 2
97 ends in 7, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 97 are not divisible by 4.
Divisible by 5
97 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 16 is not a multiple of 9.
Divisible by 10
97 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 97 within several notable number theory sequences:
Timeline
Deep dive
How 97 breaks down
97 carries 2 distinct factors and a digit signature of 16 (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 1100001 supports bitwise reasoning, hexadecimal 61 aligns with computing notation, and the Roman numeral XCVII keeps the encyclopedic tradition alive. These attributes make 97 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 97 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (92–102) to tune search ranges, and educators feature 97 in worksheets about prime identification. Its binary footprint of length 7 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 97 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 97
Is 97 a prime number?
97 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 97?
97 is already prime, so the factorization is simply 97.
How is 97 represented in binary and hexadecimal?
97 converts to 1100001 in binary and 61 in hexadecimal, which are helpful for computer science applications.
Is 97 a perfect square, cube, or triangular number?
97 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 97?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.