3888
3888 is a even composite number that follows 3887 and precedes 3889. It is composed of 30 distinct factors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944, 3888. Its prime factorization can be written as 2^4 × 3^5. 3888 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3888 is represented as 111100110000 in binary and F30 in hexadecimal. Historically, it is written as MMMDCCCLXXXVIII in Roman numerals.
Factor Analysis
30 FactorsProperties
The prime factorization (2^4 × 3^5) reveals 9 prime building blocks.
Divisible by 2
3888 ends in 8, so it is even.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
3888 does not end in 0 or 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 27 is a multiple of 9.
Divisible by 10
3888 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 3888 within several notable number theory sequences:
Timeline
Deep dive
How 3888 breaks down
3888 carries 30 distinct factors and a digit signature of 27 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 7396, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111100110000 supports bitwise reasoning, hexadecimal F30 aligns with computing notation, and the Roman numeral MMMDCCCLXXXVIII keeps the encyclopedic tradition alive. These attributes make 3888 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3888 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3883–3893) to tune search ranges, and educators feature 3888 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 3888 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 3888
Is 3888 a prime number?
3888 is composite with 30 total factors and the prime factorization 2^4 × 3^5.
What is the prime factorization of 3888?
It breaks down as 2^4 × 3^5, multiplying the primes 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3.
How is 3888 represented in binary and hexadecimal?
3888 converts to 111100110000 in binary and F30 in hexadecimal, which are helpful for computer science applications.
Is 3888 a perfect square, cube, or triangular number?
3888 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3888?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.