The number 60509
60509 is the 6101st prime number. Its only divisors are 1 and 60509.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60509: the 6101st prime number.
- 2
60509 is prime, so its only factors are 1 and 60509. It is the 6101st prime; the next prime is 60521 and the one before is 60497.
- 3
The divisors add up to 60510; without 60509 itself that is 1, so 60509 is deficient (1 is less than 60509). Euler's totient φ(60509) = 60508 numbers up to 60509 share no factor with it.
- 4
The digits of 60509 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 86 steps to reach 1.
60509 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60510 |
| Euler totient φ(n) | 60508 |
| Square | 3661339081 |
| Cube | 221543966452229 |
| Square root | 245.985772 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.0509 × |
60509 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand five hundred and nine |
| Binary (base 2) | 1110110001011101 |
| Octal (base 8) | 166135 |
| Hexadecimal (base 16) | EC5D |
| Base 3 | 10002000002 |
| As time | 60509 seconds = 16 h 48 min 29 s |
Is 60509 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 4) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 60509 a prime number?
Yes. 60509 is divisible only by 1 and itself.
What are the factors of 60509?
1, 60509.
What is 60509 in binary?
1110110001011101 (hexadecimal EC5D, octal 166135).
What is the square root of 60509?
About 245.9858.
Is 60509 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 60509?
60509 is the 6101st prime number.