The number 80071
80071 is the 7841st prime number. Its only divisors are 1 and 80071.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80071: the 7841st prime number.
- 2
80071 is prime, so its only factors are 1 and 80071. It is the 7841st prime; the next prime is 80077 and the one before is 80051.
- 3
The divisors add up to 80072; without 80071 itself that is 1, so 80071 is deficient (1 is less than 80071). Euler's totient φ(80071) = 80070 numbers up to 80071 share no factor with it.
- 4
The digits of 80071 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
80071 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 80072 |
| Euler totient φ(n) | 80070 |
| Square | 6411365041 |
| Cube | 513364410197911 |
| Square root | 282.968196 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0071 × |
80071 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and seventy-one |
| Binary (base 2) | 10011100011000111 |
| Octal (base 8) | 234307 |
| Hexadecimal (base 16) | 138C7 |
| Base 3 | 11001211121 |
| As time | 80071 seconds = 22 h 14 min 31 s |
Is 80071 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 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 5) | 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 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80071 a prime number?
Yes. 80071 is divisible only by 1 and itself.
What are the factors of 80071?
1, 80071.
What is 80071 in binary?
10011100011000111 (hexadecimal 138C7, octal 234307).
What is the square root of 80071?
About 282.9682.
Is 80071 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 80071?
80071 is the 7841st prime number.