The number 9888
9888 is a composite number with 24 divisors. Its prime factorisation is × 3 × 103. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412 … 9888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9888 is composite. Its prime factorisation is
- 3
The divisors add up to 26208; without 9888 itself that is 16320, so 9888 is abundant (16320 is more than 9888). Euler's totient φ(9888) = 3264 numbers up to 9888 share no factor with it.
- 4
The digits of 9888 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9888 = 2^{5} \times 3 \times 103 \]9888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 26208 |
| Euler totient φ(n) | 3264 |
| Square | 97772544 |
| Cube | 966774915072 |
| Square root | 99.438423 (= 4√618) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 29 |
| Scientific notation | 9.888 × |
9888 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and eighty-eight |
| Binary (base 2) | 10011010100000 |
| Octal (base 8) | 23240 |
| Hexadecimal (base 16) | 26A0 |
| Base 3 | 111120020 |
| As time | 9888 seconds = 2 h 44 min 48 s |
Is 9888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9888 ÷ 2 = 4944) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9888 ÷ 3 = 3296) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9888 ÷ 4 = 2472) | 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 (9888 ÷ 6 = 1648) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (9888 ÷ 8 = 1236) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9888 ÷ 12 = 824) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9888 a prime number?
No. 9888 = × 3 × 103, so it is divisible by 2.
What are the factors of 9888?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888.
What is 9888 in binary?
10011010100000 (hexadecimal 26A0, octal 23240).
What is the square root of 9888?
About 99.4384, exactly 4√618.
Is 9888 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 9888?
It is a composite number with 24 divisors.