3378
3378 is a even composite number that follows 3377 and precedes 3379. It is composed of 8 distinct factors: 1, 2, 3, 6, 563, 1126, 1689, 3378. Its prime factorization can be written as 2 × 3 × 563. 3378 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3378 is represented as 110100110010 in binary and D32 in hexadecimal. Historically, it is written as MMMCCCLXXVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 563) reveals 3 prime building blocks.
Divisible by 2
3378 ends in 8, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 78 are not divisible by 4.
Divisible by 5
3378 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 21 is not a multiple of 9.
Divisible by 10
3378 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 3378 within several notable number theory sequences:
Timeline
Deep dive
How 3378 breaks down
3378 carries 8 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 3390, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100110010 supports bitwise reasoning, hexadecimal D32 aligns with computing notation, and the Roman numeral MMMCCCLXXVIII keeps the encyclopedic tradition alive. These attributes make 3378 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3378 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3373–3383) to tune search ranges, and educators feature 3378 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 3378 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 3378
Is 3378 a prime number?
3378 is composite with 8 total factors and the prime factorization 2 × 3 × 563.
What is the prime factorization of 3378?
It breaks down as 2 × 3 × 563, multiplying the primes 2 × 3 × 563.
How is 3378 represented in binary and hexadecimal?
3378 converts to 110100110010 in binary and D32 in hexadecimal, which are helpful for computer science applications.
Is 3378 a perfect square, cube, or triangular number?
3378 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3378?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.