3790
3790 is a even composite number that follows 3789 and precedes 3791. It is composed of 8 distinct factors: 1, 2, 5, 10, 379, 758, 1895, 3790. Its prime factorization can be written as 2 × 5 × 379. 3790 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3790 is represented as 111011001110 in binary and ECE in hexadecimal. Historically, it is written as MMMDCCXC in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 379) reveals 3 prime building blocks.
Divisible by 2
3790 ends in 0, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
3790 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 19 is not a multiple of 9.
Divisible by 10
3790 ends in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 3790 within several notable number theory sequences:
Timeline
Deep dive
How 3790 breaks down
3790 carries 8 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 3050, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111011001110 supports bitwise reasoning, hexadecimal ECE aligns with computing notation, and the Roman numeral MMMDCCXC keeps the encyclopedic tradition alive. These attributes make 3790 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3790 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3785–3795) to tune search ranges, and educators feature 3790 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 3790 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 3790
Is 3790 a prime number?
3790 is composite with 8 total factors and the prime factorization 2 × 5 × 379.
What is the prime factorization of 3790?
It breaks down as 2 × 5 × 379, multiplying the primes 2 × 5 × 379.
How is 3790 represented in binary and hexadecimal?
3790 converts to 111011001110 in binary and ECE in hexadecimal, which are helpful for computer science applications.
Is 3790 a perfect square, cube, or triangular number?
3790 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3790?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.