The number 9988
9988 is a composite number with 12 divisors. Its prime factorisation is × 11 × 227. Divisors (12): 1, 2, 4, 11, 22, 44, 227, 454, 908, 2497, 4994, 9988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9988 is composite. Its prime factorisation is
- 3
The divisors add up to 19152; without 9988 itself that is 9164, so 9988 is deficient (9164 is less than 9988). Euler's totient φ(9988) = 4520 numbers up to 9988 share no factor with it.
- 4
The digits of 9988 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9988 = 2^{2} \times 11 \times 227 \]9988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 19152 |
| Euler totient φ(n) | 4520 |
| Square | 99760144 |
| Cube | 996404318272 |
| Square root | 99.939982 (= 2√2497) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 91 |
| Scientific notation | 9.988 × |
9988 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and eighty-eight |
| Binary (base 2) | 10011100000100 |
| Octal (base 8) | 23404 |
| Hexadecimal (base 16) | 2704 |
| Base 3 | 111200221 |
| As time | 9988 seconds = 2 h 46 min 28 s |
Is 9988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9988 ÷ 2 = 4994) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9988 ÷ 4 = 2497) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (9988 ÷ 11 = 908) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9988 a prime number?
No. 9988 = × 11 × 227, so it is divisible by 2.
What are the factors of 9988?
1, 2, 4, 11, 22, 44, 227, 454, 908, 2497, 4994, 9988.
What is 9988 in binary?
10011100000100 (hexadecimal 2704, octal 23404).
What is the square root of 9988?
About 99.9400, exactly 2√2497.
Is 9988 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 9988?
It is a composite number with 12 divisors.