3364
3364 is a even composite number that follows 3363 and precedes 3365. It is composed of 9 distinct factors: 1, 2, 4, 29, 58, 116, 841, 1682, 3364. Its prime factorization can be written as 2^2 × 29^2. 3364 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3364 is represented as 110100100100 in binary and D24 in hexadecimal. Historically, it is written as MMMCCCLXIV in Roman numerals. It also belongs to the perfect square sequence.
Factor Analysis
9 FactorsProperties
The prime factorization (2^2 × 29^2) reveals 4 prime building blocks.
Divisible by 2
3364 ends in 4, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
3364 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 16 is not a multiple of 9.
Divisible by 10
3364 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 3364 within several notable number theory sequences:
Timeline
Deep dive
How 3364 breaks down
3364 carries 9 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 2733, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100100100 supports bitwise reasoning, hexadecimal D24 aligns with computing notation, and the Roman numeral MMMCCCLXIV keeps the encyclopedic tradition alive. These attributes make 3364 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3364 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3359–3369) to tune search ranges, and educators feature 3364 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, Perfect squares) help historians, numerologists, and trivia writers tie 3364 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 3364
Is 3364 a prime number?
3364 is composite with 9 total factors and the prime factorization 2^2 × 29^2.
What is the prime factorization of 3364?
It breaks down as 2^2 × 29^2, multiplying the primes 2 × 2 × 29 × 29.
How is 3364 represented in binary and hexadecimal?
3364 converts to 110100100100 in binary and D24 in hexadecimal, which are helpful for computer science applications.
Is 3364 a perfect square, cube, or triangular number?
3364 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3364?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.