The number 67801
67801 is the 6754th prime number. Its only divisors are 1 and 67801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67801: the 6754th prime number.
- 2
67801 is prime, so its only factors are 1 and 67801. It is the 6754th prime; the next prime is 67807 and the one before is 67789.
- 3
The divisors add up to 67802; without 67801 itself that is 1, so 67801 is deficient (1 is less than 67801). Euler's totient φ(67801) = 67800 numbers up to 67801 share no factor with it.
- 4
The digits of 67801 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 112 steps to reach 1.
67801 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67802 |
| Euler totient φ(n) | 67800 |
| Square | 4596975601 |
| Cube | 311679542723401 |
| Square root | 260.386252 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7801 × |
67801 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and one |
| Binary (base 2) | 10000100011011001 |
| Octal (base 8) | 204331 |
| Hexadecimal (base 16) | 108D9 |
| Base 3 | 10110000011 |
| As time | 67801 seconds = 18 h 50 min 1 s |
Is 67801 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 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 6) | 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 1) | 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 1) | 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 67801 a prime number?
Yes. 67801 is divisible only by 1 and itself.
What are the factors of 67801?
1, 67801.
What is 67801 in binary?
10000100011011001 (hexadecimal 108D9, octal 204331).
What is the square root of 67801?
About 260.3863.
Is 67801 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 67801?
67801 is the 6754th prime number.