The number 98221
98221 is the 9433rd prime number. Its only divisors are 1 and 98221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98221: the 9433rd prime number.
- 2
98221 is prime, so its only factors are 1 and 98221. It is the 9433rd prime; the next prime is 98227 and the one before is 98213.
- 3
The divisors add up to 98222; without 98221 itself that is 1, so 98221 is deficient (1 is less than 98221). Euler's totient φ(98221) = 98220 numbers up to 98221 share no factor with it.
- 4
The digits of 98221 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
98221 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 98222 |
| Euler totient φ(n) | 98220 |
| Square | 9647364841 |
| Cube | 947573822047861 |
| Square root | 313.402297 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.8221 × |
98221 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand two hundred and twenty-one |
| Binary (base 2) | 10111111110101101 |
| Octal (base 8) | 277655 |
| Hexadecimal (base 16) | 17FAD |
| Base 3 | 11222201211 |
| As time | 98221 seconds = 27 h 17 min 1 s |
Is 98221 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98221 a prime number?
Yes. 98221 is divisible only by 1 and itself.
What are the factors of 98221?
1, 98221.
What is 98221 in binary?
10111111110101101 (hexadecimal 17FAD, octal 277655).
What is the square root of 98221?
About 313.4023.
Is 98221 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 98221?
98221 is the 9433rd prime number.