The number 9908
9908 is a composite number with 6 divisors. Its prime factorisation is × 2477. Divisors (6): 1, 2, 4, 2477, 4954, 9908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9908: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9908 is composite. Its prime factorisation is
- 3
The divisors add up to 17346; without 9908 itself that is 7438, so 9908 is deficient (7438 is less than 9908). Euler's totient φ(9908) = 4952 numbers up to 9908 share no factor with it.
- 4
The digits of 9908 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9908 = 2^{2} \times 2477 \]9908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 17346 |
| Euler totient φ(n) | 4952 |
| Square | 98168464 |
| Cube | 972653141312 |
| Square root | 99.538937 (= 2√2477) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.908 × |
9908 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and eight |
| Binary (base 2) | 10011010110100 |
| Octal (base 8) | 23264 |
| Hexadecimal (base 16) | 26B4 |
| Base 3 | 111120222 |
| As time | 9908 seconds = 2 h 45 min 8 s |
Is 9908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9908 ÷ 2 = 4954) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9908 ÷ 4 = 2477) | 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 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9908 a prime number?
No. 9908 = × 2477, so it is divisible by 2.
What are the factors of 9908?
1, 2, 4, 2477, 4954, 9908.
What is 9908 in binary?
10011010110100 (hexadecimal 26B4, octal 23264).
What is the square root of 9908?
About 99.5389, exactly 2√2477.
Is 9908 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 9908?
9908 is a happy number: repeatedly adding the squares of its digits reaches 1.