3397
3397 is a odd composite number that follows 3396 and precedes 3398. It is composed of 4 distinct factors: 1, 43, 79, 3397. Its prime factorization can be written as 43 × 79. 3397 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3397 is represented as 110101000101 in binary and D45 in hexadecimal. Historically, it is written as MMMCCCXCVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (43 × 79) reveals 2 prime building blocks.
Divisible by 2
3397 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
3397 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
3397 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 3397 within several notable number theory sequences:
Timeline
Deep dive
How 3397 breaks down
3397 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 123, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101000101 supports bitwise reasoning, hexadecimal D45 aligns with computing notation, and the Roman numeral MMMCCCXCVII keeps the encyclopedic tradition alive. These attributes make 3397 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3397 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3392–3402) to tune search ranges, and educators feature 3397 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 3397 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 3397
Is 3397 a prime number?
3397 is composite with 4 total factors and the prime factorization 43 × 79.
What is the prime factorization of 3397?
It breaks down as 43 × 79, multiplying the primes 43 × 79.
How is 3397 represented in binary and hexadecimal?
3397 converts to 110101000101 in binary and D45 in hexadecimal, which are helpful for computer science applications.
Is 3397 a perfect square, cube, or triangular number?
3397 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3397?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.