The number 80077
80077 is the 7842nd prime number. Its only divisors are 1 and 80077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80077: the 7842nd prime number.
- 2
80077 is prime, so its only factors are 1 and 80077. It is the 7842nd prime; the next prime is 80107 and the one before is 80071.
- 3
The divisors add up to 80078; without 80077 itself that is 1, so 80077 is deficient (1 is less than 80077). Euler's totient φ(80077) = 80076 numbers up to 80077 share no factor with it.
- 4
The digits of 80077 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 169 steps to reach 1.
80077 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 80078 |
| Euler totient φ(n) | 80076 |
| Square | 6412325929 |
| Cube | 513479823416533 |
| Square root | 282.978798 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 169 |
| Scientific notation | 8.0077 × |
80077 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and seventy-seven |
| Binary (base 2) | 10011100011001101 |
| Octal (base 8) | 234315 |
| Hexadecimal (base 16) | 138CD |
| Base 3 | 11001211211 |
| As time | 80077 seconds = 22 h 14 min 37 s |
Is 80077 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 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 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 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 8) | 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 80077 a prime number?
Yes. 80077 is divisible only by 1 and itself.
What are the factors of 80077?
1, 80077.
What is 80077 in binary?
10011100011001101 (hexadecimal 138CD, octal 234315).
What is the square root of 80077?
About 282.9788.
Is 80077 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 80077?
80077 is the 7842nd prime number.