3370
3370 is a even composite number that follows 3369 and precedes 3371. It is composed of 8 distinct factors: 1, 2, 5, 10, 337, 674, 1685, 3370. Its prime factorization can be written as 2 × 5 × 337. 3370 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3370 is represented as 110100101010 in binary and D2A in hexadecimal. Historically, it is written as MMMCCCLXX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 337) reveals 3 prime building blocks.
Divisible by 2
3370 ends in 0, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 70 are not divisible by 4.
Divisible by 5
3370 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 13 is not a multiple of 9.
Divisible by 10
3370 ends in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 3370 within several notable number theory sequences:
Timeline
Deep dive
How 3370 breaks down
3370 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 2714, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100101010 supports bitwise reasoning, hexadecimal D2A aligns with computing notation, and the Roman numeral MMMCCCLXX keeps the encyclopedic tradition alive. These attributes make 3370 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3370 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3365–3375) to tune search ranges, and educators feature 3370 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 3370 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 3370
Is 3370 a prime number?
3370 is composite with 8 total factors and the prime factorization 2 × 5 × 337.
What is the prime factorization of 3370?
It breaks down as 2 × 5 × 337, multiplying the primes 2 × 5 × 337.
How is 3370 represented in binary and hexadecimal?
3370 converts to 110100101010 in binary and D2A in hexadecimal, which are helpful for computer science applications.
Is 3370 a perfect square, cube, or triangular number?
3370 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3370?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.