The number 60107
60107 is the 6069th prime number. Its only divisors are 1 and 60107.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60107: the 6069th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60107 is prime, so its only factors are 1 and 60107. It is the 6069th prime; the next prime is 60127 and the one before is 60103.
- 3
The divisors add up to 60108; without 60107 itself that is 1, so 60107 is deficient (1 is less than 60107). Euler's totient φ(60107) = 60106 numbers up to 60107 share no factor with it.
- 4
The digits of 60107 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
60107 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60108 |
| Euler totient φ(n) | 60106 |
| Square | 3612851449 |
| Cube | 217157662045043 |
| Square root | 245.167290 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 6.0107 × |
60107 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand one hundred and seven |
| Binary (base 2) | 1110101011001011 |
| Octal (base 8) | 165313 |
| Hexadecimal (base 16) | EACB |
| Base 3 | 10001110012 |
| As time | 60107 seconds = 16 h 41 min 47 s |
Is 60107 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | 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 60107 a prime number?
Yes. 60107 is divisible only by 1 and itself.
What are the factors of 60107?
1, 60107.
What is 60107 in binary?
1110101011001011 (hexadecimal EACB, octal 165313).
What is the square root of 60107?
About 245.1673.
Is 60107 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 60107?
60107 is the 6069th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.