The number 60133
60133 is the 6071st prime number. Its only divisors are 1 and 60133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60133: the 6071st prime number.
- 2
60133 is prime, so its only factors are 1 and 60133. It is the 6071st prime; the next prime is 60139 and the one before is 60127.
- 3
The divisors add up to 60134; without 60133 itself that is 1, so 60133 is deficient (1 is less than 60133). Euler's totient φ(60133) = 60132 numbers up to 60133 share no factor with it.
- 4
The digits of 60133 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
60133 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60134 |
| Euler totient φ(n) | 60132 |
| Square | 3615977689 |
| Cube | 217439586372637 |
| Square root | 245.220309 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.0133 × |
60133 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand one hundred and thirty-three |
| Binary (base 2) | 1110101011100101 |
| Octal (base 8) | 165345 |
| Hexadecimal (base 16) | EAE5 |
| Base 3 | 10001111011 |
| As time | 60133 seconds = 16 h 42 min 13 s |
Is 60133 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 3) | 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 3) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 60133 a prime number?
Yes. 60133 is divisible only by 1 and itself.
What are the factors of 60133?
1, 60133.
What is 60133 in binary?
1110101011100101 (hexadecimal EAE5, octal 165345).
What is the square root of 60133?
About 245.2203.
Is 60133 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 60133?
60133 is the 6071st prime number.