3670
3670 is a even composite number that follows 3669 and precedes 3671. It is composed of 8 distinct factors: 1, 2, 5, 10, 367, 734, 1835, 3670. Its prime factorization can be written as 2 × 5 × 367. 3670 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3670 is represented as 111001010110 in binary and E56 in hexadecimal. Historically, it is written as MMMDCLXX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 367) reveals 3 prime building blocks.
Divisible by 2
3670 ends in 0, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 70 are not divisible by 4.
Divisible by 5
3670 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 16 is not a multiple of 9.
Divisible by 10
3670 ends in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 3670 within several notable number theory sequences:
Timeline
Deep dive
How 3670 breaks down
3670 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 2954, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111001010110 supports bitwise reasoning, hexadecimal E56 aligns with computing notation, and the Roman numeral MMMDCLXX keeps the encyclopedic tradition alive. These attributes make 3670 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3670 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3665–3675) to tune search ranges, and educators feature 3670 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 3670 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 3670
Is 3670 a prime number?
3670 is composite with 8 total factors and the prime factorization 2 × 5 × 367.
What is the prime factorization of 3670?
It breaks down as 2 × 5 × 367, multiplying the primes 2 × 5 × 367.
How is 3670 represented in binary and hexadecimal?
3670 converts to 111001010110 in binary and E56 in hexadecimal, which are helpful for computer science applications.
Is 3670 a perfect square, cube, or triangular number?
3670 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3670?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.