The number 60013
60013 is the 6058th prime number. Its only divisors are 1 and 60013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60013: the 6058th prime number.
- 2
60013 is prime, so its only factors are 1 and 60013. It is the 6058th prime; the next prime is 60017 and the one before is 59999.
- 3
The divisors add up to 60014; without 60013 itself that is 1, so 60013 is deficient (1 is less than 60013). Euler's totient φ(60013) = 60012 numbers up to 60013 share no factor with it.
- 4
The digits of 60013 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
60013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60014 |
| Euler totient φ(n) | 60012 |
| Square | 3601560169 |
| Cube | 216140430422197 |
| Square root | 244.975509 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.0013 × |
60013 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and thirteen |
| Binary (base 2) | 1110101001101101 |
| Octal (base 8) | 165155 |
| Hexadecimal (base 16) | EA6D |
| Base 3 | 10001022201 |
| As time | 60013 seconds = 16 h 40 min 13 s |
Is 60013 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 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 5) | 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 3) | 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 60013 a prime number?
Yes. 60013 is divisible only by 1 and itself.
What are the factors of 60013?
1, 60013.
What is 60013 in binary?
1110101001101101 (hexadecimal EA6D, octal 165155).
What is the square root of 60013?
About 244.9755.
Is 60013 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 60013?
60013 is the 6058th prime number.