The number 60167
60167 is a twin prime (60167 and 60169 are both prime) and the 6075th prime number. Its only divisors are 1 and 60167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60167: a twin prime (60167 and 60169 are both prime); the 6075th prime number.
- 2
60167 is prime, so its only factors are 1 and 60167. It is the 6075th prime; the next prime is 60169 and the one before is 60161.
- 3
The divisors add up to 60168; without 60167 itself that is 1, so 60167 is deficient (1 is less than 60167). Euler's totient φ(60167) = 60166 numbers up to 60167 share no factor with it.
- 4
The digits of 60167 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 254 steps to reach 1.
60167 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60168 |
| Euler totient φ(n) | 60166 |
| Square | 3620067889 |
| Cube | 217808624677463 |
| Square root | 245.289625 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 254 |
| Scientific notation | 6.0167 × |
60167 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand one hundred and sixty-seven |
| Binary (base 2) | 1110101100000111 |
| Octal (base 8) | 165407 |
| Hexadecimal (base 16) | EB07 |
| Base 3 | 10001112102 |
| As time | 60167 seconds = 16 h 42 min 47 s |
Is 60167 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 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 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 7) | 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 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60167 a prime number?
Yes. 60167 is divisible only by 1 and itself.
What are the factors of 60167?
1, 60167.
What is 60167 in binary?
1110101100000111 (hexadecimal EB07, octal 165407).
What is the square root of 60167?
About 245.2896.
Is 60167 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 60167?
60167 is a twin prime (60167 and 60169 are both prime); the 6075th prime number.