The number 80789
80789 is the 7908th prime number. Its only divisors are 1 and 80789.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80789: the 7908th prime number.
- 2
80789 is prime, so its only factors are 1 and 80789. It is the 7908th prime; the next prime is 80803 and the one before is 80783.
- 3
The divisors add up to 80790; without 80789 itself that is 1, so 80789 is deficient (1 is less than 80789). Euler's totient φ(80789) = 80788 numbers up to 80789 share no factor with it.
- 4
The digits of 80789 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
80789 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 80790 |
| Euler totient φ(n) | 80788 |
| Square | 6526862521 |
| Cube | 527298696209069 |
| Square root | 284.234058 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.0789 × |
80789 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and eighty-nine |
| Binary (base 2) | 10011101110010101 |
| Octal (base 8) | 235625 |
| Hexadecimal (base 16) | 13B95 |
| Base 3 | 11002211012 |
| As time | 80789 seconds = 22 h 26 min 29 s |
Is 80789 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 4) | 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 2) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 80789 a prime number?
Yes. 80789 is divisible only by 1 and itself.
What are the factors of 80789?
1, 80789.
What is 80789 in binary?
10011101110010101 (hexadecimal 13B95, octal 235625).
What is the square root of 80789?
About 284.2341.
Is 80789 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 80789?
80789 is the 7908th prime number.