The number 9898
9898 is a composite number with 12 divisors. Its prime factorisation is 2 × × 101. Divisors (12): 1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9898 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9898 is composite. Its prime factorisation is
- 3
The divisors add up to 17442; without 9898 itself that is 7544, so 9898 is deficient (7544 is less than 9898). Euler's totient φ(9898) = 4200 numbers up to 9898 share no factor with it.
- 4
The digits of 9898 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 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9898 = 2 \times 7^{2} \times 101 \]9898 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 17442 |
| Euler totient φ(n) | 4200 |
| Square | 97970404 |
| Cube | 969711058792 |
| Square root | 99.488693 (= 7√202) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 29 |
| Scientific notation | 9.898 × |
9898 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and ninety-eight |
| Binary (base 2) | 10011010101010 |
| Octal (base 8) | 23252 |
| Hexadecimal (base 16) | 26AA |
| Base 3 | 111120121 |
| As time | 9898 seconds = 2 h 44 min 58 s |
Is 9898 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9898 ÷ 2 = 4949) | 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 | No (remainder 2) | 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 | Yes (9898 ÷ 7 = 1414) | 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 2) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9898 a prime number?
No. 9898 = 2 × × 101, so it is divisible by 2.
What are the factors of 9898?
1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898.
What is 9898 in binary?
10011010101010 (hexadecimal 26AA, octal 23252).
What is the square root of 9898?
About 99.4887, exactly 7√202.
Is 9898 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 9898?
It is a composite number with 12 divisors.