The number 67789
67789 is the 6753rd prime number. Its only divisors are 1 and 67789.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67789: the 6753rd prime number.
- 2
67789 is prime, so its only factors are 1 and 67789. It is the 6753rd prime; the next prime is 67801 and the one before is 67783.
- 3
The divisors add up to 67790; without 67789 itself that is 1, so 67789 is deficient (1 is less than 67789). Euler's totient φ(67789) = 67788 numbers up to 67789 share no factor with it.
- 4
The digits of 67789 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
67789 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67790 |
| Euler totient φ(n) | 67788 |
| Square | 4595348521 |
| Cube | 311514080890069 |
| Square root | 260.363208 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7789 × |
67789 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and eighty-nine |
| Binary (base 2) | 10000100011001101 |
| Octal (base 8) | 204315 |
| Hexadecimal (base 16) | 108CD |
| Base 3 | 10102222201 |
| As time | 67789 seconds = 18 h 49 min 49 s |
Is 67789 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 4) | 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 1) | 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 7) | 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 67789 a prime number?
Yes. 67789 is divisible only by 1 and itself.
What are the factors of 67789?
1, 67789.
What is 67789 in binary?
10000100011001101 (hexadecimal 108CD, octal 204315).
What is the square root of 67789?
About 260.3632.
Is 67789 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 67789?
67789 is the 6753rd prime number.