497
497 is a odd composite number that follows 496 and precedes 498. It is composed of 4 distinct factors: 1, 7, 71, 497. Its prime factorization can be written as 7 × 71. 497 is classified as a deficient number based on the sum of its proper divisors. In computer science, 497 is represented as 111110001 in binary and 1F1 in hexadecimal. Historically, it is written as CDXCVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (7 × 71) reveals 2 prime building blocks.
Divisible by 2
497 ends in 7, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 97 are not divisible by 4.
Divisible by 5
497 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 20 is not a multiple of 9.
Divisible by 10
497 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 497 within several notable number theory sequences:
Timeline
Deep dive
How 497 breaks down
497 carries 4 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 79, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111110001 supports bitwise reasoning, hexadecimal 1F1 aligns with computing notation, and the Roman numeral CDXCVII keeps the encyclopedic tradition alive. These attributes make 497 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 497 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (492–502) to tune search ranges, and educators feature 497 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 497 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 497
Is 497 a prime number?
497 is composite with 4 total factors and the prime factorization 7 × 71.
What is the prime factorization of 497?
It breaks down as 7 × 71, multiplying the primes 7 × 71.
How is 497 represented in binary and hexadecimal?
497 converts to 111110001 in binary and 1F1 in hexadecimal, which are helpful for computer science applications.
Is 497 a perfect square, cube, or triangular number?
497 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 497?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.