The number 67807
67807 is the 6755th prime number. Its only divisors are 1 and 67807.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67807: the 6755th prime number.
- 2
67807 is prime, so its only factors are 1 and 67807. It is the 6755th prime; the next prime is 67819 and the one before is 67801.
- 3
The divisors add up to 67808; without 67807 itself that is 1, so 67807 is deficient (1 is less than 67807). Euler's totient φ(67807) = 67806 numbers up to 67807 share no factor with it.
- 4
The digits of 67807 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
67807 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67808 |
| Euler totient φ(n) | 67806 |
| Square | 4597789249 |
| Cube | 311762295606943 |
| Square root | 260.397773 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7807 × |
67807 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and seven |
| Binary (base 2) | 10000100011011111 |
| Octal (base 8) | 204337 |
| Hexadecimal (base 16) | 108DF |
| Base 3 | 10110000101 |
| As time | 67807 seconds = 18 h 50 min 7 s |
Is 67807 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 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 1) | 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 3) | 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 67807 a prime number?
Yes. 67807 is divisible only by 1 and itself.
What are the factors of 67807?
1, 67807.
What is 67807 in binary?
10000100011011111 (hexadecimal 108DF, octal 204337).
What is the square root of 67807?
About 260.3978.
Is 67807 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67807?
67807 is the 6755th prime number.