The number 3888
3888 is a composite number with 30 divisors. Its prime factorisation is × . Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72 … 3888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3888: a Harshad number: divisible by its digit sum 27.
- 2
3888 is composite. Its prime factorisation is
- 3
The divisors add up to 11284; without 3888 itself that is 7396, so 3888 is abundant (7396 is more than 3888). Euler's totient φ(3888) = 1296 numbers up to 3888 share no factor with it.
- 4
The digits of 3888 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 100 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3888 = 2^{4} \times 3^{5} \]3888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 11284 |
| Euler totient φ(n) | 1296 |
| Square | 15116544 |
| Cube | 58773123072 |
| Square root | 62.353829 (= 36√3) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 100 |
| Scientific notation | 3.888 × |
3888 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and eighty-eight |
| Roman numerals | MMMDCCCLXXXVIII |
| Binary (base 2) | 111100110000 |
| Octal (base 8) | 7460 |
| Hexadecimal (base 16) | F30 |
| Base 3 | 12100000 |
| As time | 3888 seconds = 1 h 4 min 48 s |
Is 3888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3888 ÷ 2 = 1944) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3888 ÷ 3 = 1296) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3888 ÷ 4 = 972) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3888 ÷ 6 = 648) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (3888 ÷ 8 = 486) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3888 ÷ 9 = 432) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3888 ÷ 12 = 324) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3888 a prime number?
No. 3888 = × , so it is divisible by 2.
What are the factors of 3888?
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.
What is 3888 in binary?
111100110000 (hexadecimal F30, octal 7460).
What is the square root of 3888?
About 62.3538, exactly 36√3.
What is 3888 in Roman numerals?
MMMDCCCLXXXVIII.
Is 3888 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 3888?
3888 is a Harshad number: divisible by its digit sum 27.