697
697 is a odd composite number that follows 696 and precedes 698. It is composed of 4 distinct factors: 1, 17, 41, 697. Its prime factorization can be written as 17 × 41. 697 is classified as a deficient number based on the sum of its proper divisors. In computer science, 697 is represented as 1010111001 in binary and 2B9 in hexadecimal. Historically, it is written as DCXCVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (17 × 41) reveals 2 prime building blocks.
Divisible by 2
697 ends in 7, so it is odd.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 97 are not divisible by 4.
Divisible by 5
697 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 22 is not a multiple of 9.
Divisible by 10
697 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 697 within several notable number theory sequences:
Timeline
Deep dive
How 697 breaks down
697 carries 4 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 59, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010111001 supports bitwise reasoning, hexadecimal 2B9 aligns with computing notation, and the Roman numeral DCXCVII keeps the encyclopedic tradition alive. These attributes make 697 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 697 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (692–702) to tune search ranges, and educators feature 697 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 697 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 697
Is 697 a prime number?
697 is composite with 4 total factors and the prime factorization 17 × 41.
What is the prime factorization of 697?
It breaks down as 17 × 41, multiplying the primes 17 × 41.
How is 697 represented in binary and hexadecimal?
697 converts to 1010111001 in binary and 2B9 in hexadecimal, which are helpful for computer science applications.
Is 697 a perfect square, cube, or triangular number?
697 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 697?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.