3990
3990 is a even composite number that follows 3989 and precedes 3991. It is composed of 32 distinct factors: 1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995, 3990. Its prime factorization can be written as 2 × 3 × 5 × 7 × 19. 3990 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3990 is represented as 111110010110 in binary and F96 in hexadecimal. Historically, it is written as MMMCMXC in Roman numerals.
Factor Analysis
32 FactorsProperties
The prime factorization (2 × 3 × 5 × 7 × 19) reveals 5 prime building blocks.
Divisible by 2
3990 ends in 0, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
3990 ends in 0, so it is divisible by 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 21 is not a multiple of 9.
Divisible by 10
3990 ends in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 3990 within several notable number theory sequences:
Timeline
Deep dive
How 3990 breaks down
3990 carries 32 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 7530, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111110010110 supports bitwise reasoning, hexadecimal F96 aligns with computing notation, and the Roman numeral MMMCMXC keeps the encyclopedic tradition alive. These attributes make 3990 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3990 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3985–3995) to tune search ranges, and educators feature 3990 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 3990 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 3990
Is 3990 a prime number?
3990 is composite with 32 total factors and the prime factorization 2 × 3 × 5 × 7 × 19.
What is the prime factorization of 3990?
It breaks down as 2 × 3 × 5 × 7 × 19, multiplying the primes 2 × 3 × 5 × 7 × 19.
How is 3990 represented in binary and hexadecimal?
3990 converts to 111110010110 in binary and F96 in hexadecimal, which are helpful for computer science applications.
Is 3990 a perfect square, cube, or triangular number?
3990 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3990?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.