The number 9808
9808 is a composite number with 10 divisors. Its prime factorisation is × 613. Divisors (10): 1, 2, 4, 8, 16, 613, 1226, 2452, 4904, 9808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9808 is composite. Its prime factorisation is
- 3
The divisors add up to 19034; without 9808 itself that is 9226, so 9808 is deficient (9226 is less than 9808). Euler's totient φ(9808) = 4896 numbers up to 9808 share no factor with it.
- 4
The digits of 9808 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9808 = 2^{4} \times 613 \]9808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 19034 |
| Euler totient φ(n) | 4896 |
| Square | 96196864 |
| Cube | 943498842112 |
| Square root | 99.035347 (= 4√613) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 9.808 × |
9808 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and eight |
| Binary (base 2) | 10011001010000 |
| Octal (base 8) | 23120 |
| Hexadecimal (base 16) | 2650 |
| Base 3 | 111110021 |
| As time | 9808 seconds = 2 h 43 min 28 s |
Is 9808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9808 ÷ 2 = 4904) | 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 (9808 ÷ 4 = 2452) | 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 1) | 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 (9808 ÷ 8 = 1226) | 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 | No (remainder 7) | 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 9808 a prime number?
No. 9808 = × 613, so it is divisible by 2.
What are the factors of 9808?
1, 2, 4, 8, 16, 613, 1226, 2452, 4904, 9808.
What is 9808 in binary?
10011001010000 (hexadecimal 2650, octal 23120).
What is the square root of 9808?
About 99.0353, exactly 4√613.
Is 9808 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9808?
It is a composite number with 10 divisors.