The number 84221
84221 is a twin prime (84221 and 84223 are both prime) and the 8210th prime number. Its only divisors are 1 and 84221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84221: a twin prime (84221 and 84223 are both prime); the 8210th prime number.
- 2
84221 is prime, so its only factors are 1 and 84221. It is the 8210th prime; the next prime is 84223 and the one before is 84211.
- 3
The divisors add up to 84222; without 84221 itself that is 1, so 84221 is deficient (1 is less than 84221). Euler's totient φ(84221) = 84220 numbers up to 84221 share no factor with it.
- 4
The digits of 84221 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
84221 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 84222 |
| Euler totient φ(n) | 84220 |
| Square | 7093176841 |
| Cube | 597394446725861 |
| Square root | 290.208546 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.4221 × |
84221 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand two hundred and twenty-one |
| Binary (base 2) | 10100100011111101 |
| Octal (base 8) | 244375 |
| Hexadecimal (base 16) | 148FD |
| Base 3 | 11021112022 |
| As time | 84221 seconds = 23 h 23 min 41 s |
Is 84221 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 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 8) | 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 5) | 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 84221 a prime number?
Yes. 84221 is divisible only by 1 and itself.
What are the factors of 84221?
1, 84221.
What is 84221 in binary?
10100100011111101 (hexadecimal 148FD, octal 244375).
What is the square root of 84221?
About 290.2085.
Is 84221 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 84221?
84221 is a twin prime (84221 and 84223 are both prime); the 8210th prime number.