388
388 is a even composite number that follows 387 and precedes 389. It is composed of 6 distinct factors: 1, 2, 4, 97, 194, 388. Its prime factorization can be written as 2^2 × 97. 388 is classified as a deficient number based on the sum of its proper divisors. In computer science, 388 is represented as 110000100 in binary and 184 in hexadecimal. Historically, it is written as CCCLXXXVIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 97) reveals 3 prime building blocks.
Divisible by 2
388 ends in 8, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
388 does not end in 0 or 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
388 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 388 within several notable number theory sequences:
Timeline
Deep dive
How 388 breaks down
388 carries 6 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 298, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110000100 supports bitwise reasoning, hexadecimal 184 aligns with computing notation, and the Roman numeral CCCLXXXVIII keeps the encyclopedic tradition alive. These attributes make 388 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 388 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (383–393) to tune search ranges, and educators feature 388 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, Deficient numbers) help historians, numerologists, and trivia writers tie 388 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 388
Is 388 a prime number?
388 is composite with 6 total factors and the prime factorization 2^2 × 97.
What is the prime factorization of 388?
It breaks down as 2^2 × 97, multiplying the primes 2 × 2 × 97.
How is 388 represented in binary and hexadecimal?
388 converts to 110000100 in binary and 184 in hexadecimal, which are helpful for computer science applications.
Is 388 a perfect square, cube, or triangular number?
388 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 388?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.