3202
3202 is a even composite number that follows 3201 and precedes 3203. It is composed of 4 distinct factors: 1, 2, 1601, 3202. Its prime factorization can be written as 2 × 1601. 3202 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3202 is represented as 110010000010 in binary and C82 in hexadecimal. Historically, it is written as MMMCCII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 1601) reveals 2 prime building blocks.
Divisible by 2
3202 ends in 2, so it is even.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 02 are not divisible by 4.
Divisible by 5
3202 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 7 is not a multiple of 9.
Divisible by 10
3202 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 3202 within several notable number theory sequences:
Timeline
Deep dive
How 3202 breaks down
3202 carries 4 distinct factors and a digit signature of 7 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1604, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110010000010 supports bitwise reasoning, hexadecimal C82 aligns with computing notation, and the Roman numeral MMMCCII keeps the encyclopedic tradition alive. These attributes make 3202 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3202 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3197–3207) to tune search ranges, and educators feature 3202 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 3202 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 3202
Is 3202 a prime number?
3202 is composite with 4 total factors and the prime factorization 2 × 1601.
What is the prime factorization of 3202?
It breaks down as 2 × 1601, multiplying the primes 2 × 1601.
How is 3202 represented in binary and hexadecimal?
3202 converts to 110010000010 in binary and C82 in hexadecimal, which are helpful for computer science applications.
Is 3202 a perfect square, cube, or triangular number?
3202 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3202?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.