The number 80167
80167 is the 7849th prime number. Its only divisors are 1 and 80167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80167: the 7849th prime number.
- 2
80167 is prime, so its only factors are 1 and 80167. It is the 7849th prime; the next prime is 80173 and the one before is 80153.
- 3
The divisors add up to 80168; without 80167 itself that is 1, so 80167 is deficient (1 is less than 80167). Euler's totient φ(80167) = 80166 numbers up to 80167 share no factor with it.
- 4
The digits of 80167 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 68 steps to reach 1.
80167 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 80168 |
| Euler totient φ(n) | 80166 |
| Square | 6426747889 |
| Cube | 515213098017463 |
| Square root | 283.137776 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0167 × |
80167 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and sixty-seven |
| Binary (base 2) | 10011100100100111 |
| Octal (base 8) | 234447 |
| Hexadecimal (base 16) | 13927 |
| Base 3 | 11001222011 |
| As time | 80167 seconds = 22 h 16 min 7 s |
Is 80167 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 3) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80167 a prime number?
Yes. 80167 is divisible only by 1 and itself.
What are the factors of 80167?
1, 80167.
What is 80167 in binary?
10011100100100111 (hexadecimal 13927, octal 234447).
What is the square root of 80167?
About 283.1378.
Is 80167 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 80167?
80167 is the 7849th prime number.