3497
3497 is a odd composite number that follows 3496 and precedes 3498. It is composed of 4 distinct factors: 1, 13, 269, 3497. Its prime factorization can be written as 13 × 269. 3497 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3497 is represented as 110110101001 in binary and DA9 in hexadecimal. Historically, it is written as MMMCDXCVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 269) reveals 2 prime building blocks.
Divisible by 2
3497 ends in 7, so it is odd.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 97 are not divisible by 4.
Divisible by 5
3497 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 23 is not a multiple of 9.
Divisible by 10
3497 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 3497 within several notable number theory sequences:
Timeline
Deep dive
How 3497 breaks down
3497 carries 4 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 283, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110101001 supports bitwise reasoning, hexadecimal DA9 aligns with computing notation, and the Roman numeral MMMCDXCVII keeps the encyclopedic tradition alive. These attributes make 3497 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3497 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3492–3502) to tune search ranges, and educators feature 3497 in worksheets about factor trees. Its binary footprint of length 12 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 3497 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 3497
Is 3497 a prime number?
3497 is composite with 4 total factors and the prime factorization 13 × 269.
What is the prime factorization of 3497?
It breaks down as 13 × 269, multiplying the primes 13 × 269.
How is 3497 represented in binary and hexadecimal?
3497 converts to 110110101001 in binary and DA9 in hexadecimal, which are helpful for computer science applications.
Is 3497 a perfect square, cube, or triangular number?
3497 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3497?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.