The number 9221
9221 is the 1143rd prime number. Its only divisors are 1 and 9221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9221: the 1143rd prime number.
- 2
9221 is prime, so its only factors are 1 and 9221. It is the 1143rd prime; the next prime is 9227 and the one before is 9209.
- 3
The divisors add up to 9222; without 9221 itself that is 1, so 9221 is deficient (1 is less than 9221). Euler's totient φ(9221) = 9220 numbers up to 9221 share no factor with it.
- 4
The digits of 9221 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
9221 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9222 |
| Euler totient φ(n) | 9220 |
| Square | 85026841 |
| Cube | 784032500861 |
| Square root | 96.026038 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 109 |
| Scientific notation | 9.221 × |
9221 in other forms
| Form | Value |
|---|---|
| In words | nine thousand two hundred and twenty-one |
| Binary (base 2) | 10010000000101 |
| Octal (base 8) | 22005 |
| Hexadecimal (base 16) | 2405 |
| Base 3 | 110122112 |
| As time | 9221 seconds = 2 h 33 min 41 s |
Is 9221 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9221 a prime number?
Yes. 9221 is divisible only by 1 and itself.
What are the factors of 9221?
1, 9221.
What is 9221 in binary?
10010000000101 (hexadecimal 2405, octal 22005).
What is the square root of 9221?
About 96.0260.
Is 9221 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 9221?
9221 is the 1143rd prime number.