3332
3332 is a even composite number that follows 3331 and precedes 3333. It is composed of 18 distinct factors: 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666, 3332. Its prime factorization can be written as 2^2 × 7^2 × 17. 3332 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3332 is represented as 110100000100 in binary and D04 in hexadecimal. Historically, it is written as MMMCCCXXXII in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 7^2 × 17) reveals 5 prime building blocks.
Divisible by 2
3332 ends in 2, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 32 form a multiple of 4.
Divisible by 5
3332 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 11 is not a multiple of 9.
Divisible by 10
3332 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 3332 within several notable number theory sequences:
Timeline
Deep dive
How 3332 breaks down
3332 carries 18 distinct factors and a digit signature of 11 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 3850, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100000100 supports bitwise reasoning, hexadecimal D04 aligns with computing notation, and the Roman numeral MMMCCCXXXII keeps the encyclopedic tradition alive. These attributes make 3332 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3332 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3327–3337) to tune search ranges, and educators feature 3332 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 3332 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 3332
Is 3332 a prime number?
3332 is composite with 18 total factors and the prime factorization 2^2 × 7^2 × 17.
What is the prime factorization of 3332?
It breaks down as 2^2 × 7^2 × 17, multiplying the primes 2 × 2 × 7 × 7 × 17.
How is 3332 represented in binary and hexadecimal?
3332 converts to 110100000100 in binary and D04 in hexadecimal, which are helpful for computer science applications.
Is 3332 a perfect square, cube, or triangular number?
3332 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3332?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.