The number 80221
80221 is the 7855th prime number. Its only divisors are 1 and 80221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80221: the 7855th prime number.
- 2
80221 is prime, so its only factors are 1 and 80221. It is the 7855th prime; the next prime is 80231 and the one before is 80209.
- 3
The divisors add up to 80222; without 80221 itself that is 1, so 80221 is deficient (1 is less than 80221). Euler's totient φ(80221) = 80220 numbers up to 80221 share no factor with it.
- 4
The digits of 80221 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
80221 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 80222 |
| Euler totient φ(n) | 80220 |
| Square | 6435408841 |
| Cube | 516254932633861 |
| Square root | 283.233120 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0221 × |
80221 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand two hundred and twenty-one |
| Binary (base 2) | 10011100101011101 |
| Octal (base 8) | 234535 |
| Hexadecimal (base 16) | 1395D |
| Base 3 | 11002001011 |
| As time | 80221 seconds = 22 h 17 min 1 s |
Is 80221 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 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 | 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 9) | 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 80221 a prime number?
Yes. 80221 is divisible only by 1 and itself.
What are the factors of 80221?
1, 80221.
What is 80221 in binary?
10011100101011101 (hexadecimal 1395D, octal 234535).
What is the square root of 80221?
About 283.2331.
Is 80221 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 80221?
80221 is the 7855th prime number.