3362
3362 is a even composite number that follows 3361 and precedes 3363. It is composed of 6 distinct factors: 1, 2, 41, 82, 1681, 3362. Its prime factorization can be written as 2 × 41^2. 3362 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3362 is represented as 110100100010 in binary and D22 in hexadecimal. Historically, it is written as MMMCCCLXII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2 × 41^2) reveals 3 prime building blocks.
Divisible by 2
3362 ends in 2, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 62 are not divisible by 4.
Divisible by 5
3362 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 14 is not a multiple of 9.
Divisible by 10
3362 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 3362 within several notable number theory sequences:
Timeline
Deep dive
How 3362 breaks down
3362 carries 6 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 1807, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100100010 supports bitwise reasoning, hexadecimal D22 aligns with computing notation, and the Roman numeral MMMCCCLXII keeps the encyclopedic tradition alive. These attributes make 3362 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3362 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3357–3367) to tune search ranges, and educators feature 3362 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 3362 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 3362
Is 3362 a prime number?
3362 is composite with 6 total factors and the prime factorization 2 × 41^2.
What is the prime factorization of 3362?
It breaks down as 2 × 41^2, multiplying the primes 2 × 41 × 41.
How is 3362 represented in binary and hexadecimal?
3362 converts to 110100100010 in binary and D22 in hexadecimal, which are helpful for computer science applications.
Is 3362 a perfect square, cube, or triangular number?
3362 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3362?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.