3381
3381 is a odd composite number that follows 3380 and precedes 3382. It is composed of 12 distinct factors: 1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 1127, 3381. Its prime factorization can be written as 3 × 7^2 × 23. 3381 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3381 is represented as 110100110101 in binary and D35 in hexadecimal. Historically, it is written as MMMCCCLXXXI in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (3 × 7^2 × 23) reveals 4 prime building blocks.
Divisible by 2
3381 ends in 1, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 81 are not divisible by 4.
Divisible by 5
3381 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 15 is not a multiple of 9.
Divisible by 10
3381 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 3381 within several notable number theory sequences:
Timeline
Deep dive
How 3381 breaks down
3381 carries 12 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 2091, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100110101 supports bitwise reasoning, hexadecimal D35 aligns with computing notation, and the Roman numeral MMMCCCLXXXI keeps the encyclopedic tradition alive. These attributes make 3381 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3381 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3376–3386) to tune search ranges, and educators feature 3381 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 3381 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 3381
Is 3381 a prime number?
3381 is composite with 12 total factors and the prime factorization 3 × 7^2 × 23.
What is the prime factorization of 3381?
It breaks down as 3 × 7^2 × 23, multiplying the primes 3 × 7 × 7 × 23.
How is 3381 represented in binary and hexadecimal?
3381 converts to 110100110101 in binary and D35 in hexadecimal, which are helpful for computer science applications.
Is 3381 a perfect square, cube, or triangular number?
3381 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3381?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.