3342
3342 is a even composite number that follows 3341 and precedes 3343. It is composed of 8 distinct factors: 1, 2, 3, 6, 557, 1114, 1671, 3342. Its prime factorization can be written as 2 × 3 × 557. 3342 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3342 is represented as 110100001110 in binary and D0E in hexadecimal. Historically, it is written as MMMCCCXLII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 557) reveals 3 prime building blocks.
Divisible by 2
3342 ends in 2, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
3342 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 12 is not a multiple of 9.
Divisible by 10
3342 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 3342 within several notable number theory sequences:
Timeline
Deep dive
How 3342 breaks down
3342 carries 8 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 3354, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100001110 supports bitwise reasoning, hexadecimal D0E aligns with computing notation, and the Roman numeral MMMCCCXLII keeps the encyclopedic tradition alive. These attributes make 3342 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3342 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3337–3347) to tune search ranges, and educators feature 3342 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, Abundant numbers) help historians, numerologists, and trivia writers tie 3342 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 3342
Is 3342 a prime number?
3342 is composite with 8 total factors and the prime factorization 2 × 3 × 557.
What is the prime factorization of 3342?
It breaks down as 2 × 3 × 557, multiplying the primes 2 × 3 × 557.
How is 3342 represented in binary and hexadecimal?
3342 converts to 110100001110 in binary and D0E in hexadecimal, which are helpful for computer science applications.
Is 3342 a perfect square, cube, or triangular number?
3342 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3342?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.