The number 67061
67061 is the 6682nd prime number. Its only divisors are 1 and 67061.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67061: the 6682nd prime number.
- 2
67061 is prime, so its only factors are 1 and 67061. It is the 6682nd prime; the next prime is 67073 and the one before is 67057.
- 3
The divisors add up to 67062; without 67061 itself that is 1, so 67061 is deficient (1 is less than 67061). Euler's totient φ(67061) = 67060 numbers up to 67061 share no factor with it.
- 4
The digits of 67061 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
67061 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67062 |
| Euler totient φ(n) | 67060 |
| Square | 4497177721 |
| Cube | 301585235147981 |
| Square root | 258.961387 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7061 × |
67061 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and sixty-one |
| Binary (base 2) | 10000010111110101 |
| Octal (base 8) | 202765 |
| Hexadecimal (base 16) | 105F5 |
| Base 3 | 10101222202 |
| As time | 67061 seconds = 18 h 37 min 41 s |
Is 67061 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 1) | 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 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 2) | 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 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 67061 a prime number?
Yes. 67061 is divisible only by 1 and itself.
What are the factors of 67061?
1, 67061.
What is 67061 in binary?
10000010111110101 (hexadecimal 105F5, octal 202765).
What is the square root of 67061?
About 258.9614.
Is 67061 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 67061?
67061 is the 6682nd prime number.