390
390 is a even composite number that follows 389 and precedes 391. It is composed of 16 distinct factors: 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390. Its prime factorization can be written as 2 × 3 × 5 × 13. 390 is classified as a abundant number based on the sum of its proper divisors. In computer science, 390 is represented as 110000110 in binary and 186 in hexadecimal. Historically, it is written as CCCXC in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 5 × 13) reveals 4 prime building blocks.
Divisible by 2
390 ends in 0, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
390 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 12 is not a multiple of 9.
Divisible by 10
390 ends in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Abundant classification and digit analytics place 390 within several notable number theory sequences:
Timeline
Deep dive
How 390 breaks down
390 carries 16 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 618, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110000110 supports bitwise reasoning, hexadecimal 186 aligns with computing notation, and the Roman numeral CCCXC keeps the encyclopedic tradition alive. These attributes make 390 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 390 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (385–395) to tune search ranges, and educators feature 390 in worksheets about factor trees. Its binary footprint of length 9 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 390 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 390
Is 390 a prime number?
390 is composite with 16 total factors and the prime factorization 2 × 3 × 5 × 13.
What is the prime factorization of 390?
It breaks down as 2 × 3 × 5 × 13, multiplying the primes 2 × 3 × 5 × 13.
How is 390 represented in binary and hexadecimal?
390 converts to 110000110 in binary and 186 in hexadecimal, which are helpful for computer science applications.
Is 390 a perfect square, cube, or triangular number?
390 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 390?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.