3350
3350 is a even composite number that follows 3349 and precedes 3351. It is composed of 12 distinct factors: 1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675, 3350. Its prime factorization can be written as 2 × 5^2 × 67. 3350 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3350 is represented as 110100010110 in binary and D16 in hexadecimal. Historically, it is written as MMMCCCL in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 5^2 × 67) reveals 4 prime building blocks.
Divisible by 2
3350 ends in 0, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
3350 ends in 0, so it is divisible by 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
3350 ends in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 3350 within several notable number theory sequences:
Timeline
Deep dive
How 3350 breaks down
3350 carries 12 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 2974, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100010110 supports bitwise reasoning, hexadecimal D16 aligns with computing notation, and the Roman numeral MMMCCCL keeps the encyclopedic tradition alive. These attributes make 3350 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3350 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3345–3355) to tune search ranges, and educators feature 3350 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 3350 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 3350
Is 3350 a prime number?
3350 is composite with 12 total factors and the prime factorization 2 × 5^2 × 67.
What is the prime factorization of 3350?
It breaks down as 2 × 5^2 × 67, multiplying the primes 2 × 5 × 5 × 67.
How is 3350 represented in binary and hexadecimal?
3350 converts to 110100010110 in binary and D16 in hexadecimal, which are helpful for computer science applications.
Is 3350 a perfect square, cube, or triangular number?
3350 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3350?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.