3352
3352 is a even composite number that follows 3351 and precedes 3353. It is composed of 8 distinct factors: 1, 2, 4, 8, 419, 838, 1676, 3352. Its prime factorization can be written as 2^3 × 419. 3352 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3352 is represented as 110100011000 in binary and D18 in hexadecimal. Historically, it is written as MMMCCCLII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 419) reveals 4 prime building blocks.
Divisible by 2
3352 ends in 2, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 52 form a multiple of 4.
Divisible by 5
3352 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 13 is not a multiple of 9.
Divisible by 10
3352 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 3352 within several notable number theory sequences:
Timeline
Deep dive
How 3352 breaks down
3352 carries 8 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 2948, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100011000 supports bitwise reasoning, hexadecimal D18 aligns with computing notation, and the Roman numeral MMMCCCLII keeps the encyclopedic tradition alive. These attributes make 3352 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3352 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3347–3357) to tune search ranges, and educators feature 3352 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 3352 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 3352
Is 3352 a prime number?
3352 is composite with 8 total factors and the prime factorization 2^3 × 419.
What is the prime factorization of 3352?
It breaks down as 2^3 × 419, multiplying the primes 2 × 2 × 2 × 419.
How is 3352 represented in binary and hexadecimal?
3352 converts to 110100011000 in binary and D18 in hexadecimal, which are helpful for computer science applications.
Is 3352 a perfect square, cube, or triangular number?
3352 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3352?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.