397
397 is a odd prime number that follows 396 and precedes 398. As a prime number, 397 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 397. 397 is classified as a deficient number based on the sum of its proper divisors. In computer science, 397 is represented as 110001101 in binary and 18D in hexadecimal. Historically, it is written as CCCXCVII in Roman numerals.
Factor Analysis
2 FactorsProperties
397 is prime, so its only factors are 1 and 397.
Divisible by 2
397 ends in 7, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 97 are not divisible by 4.
Divisible by 5
397 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 19 is not a multiple of 9.
Divisible by 10
397 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 397 within several notable number theory sequences:
Timeline
Deep dive
How 397 breaks down
397 carries 2 distinct factors and a digit signature of 19 (1 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 110001101 supports bitwise reasoning, hexadecimal 18D aligns with computing notation, and the Roman numeral CCCXCVII keeps the encyclopedic tradition alive. These attributes make 397 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 397 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (392–402) to tune search ranges, and educators feature 397 in worksheets about prime identification. Its binary footprint of length 9 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 397 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 397
Is 397 a prime number?
397 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 397?
397 is already prime, so the factorization is simply 397.
How is 397 represented in binary and hexadecimal?
397 converts to 110001101 in binary and 18D in hexadecimal, which are helpful for computer science applications.
Is 397 a perfect square, cube, or triangular number?
397 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 397?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.