The number 60029
60029 is the 6060th prime number. Its only divisors are 1 and 60029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60029: the 6060th prime number.
- 2
60029 is prime, so its only factors are 1 and 60029. It is the 6060th prime; the next prime is 60037 and the one before is 60017.
- 3
The divisors add up to 60030; without 60029 itself that is 1, so 60029 is deficient (1 is less than 60029). Euler's totient φ(60029) = 60028 numbers up to 60029 share no factor with it.
- 4
The digits of 60029 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
60029 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60030 |
| Euler totient φ(n) | 60028 |
| Square | 3603480841 |
| Cube | 216313351404389 |
| Square root | 245.008163 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 166 |
| Scientific notation | 6.0029 × |
60029 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and twenty-nine |
| Binary (base 2) | 1110101001111101 |
| Octal (base 8) | 165175 |
| Hexadecimal (base 16) | EA7D |
| Base 3 | 10001100022 |
| As time | 60029 seconds = 16 h 40 min 29 s |
Is 60029 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 4) | 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 8) | 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 2) | 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 60029 a prime number?
Yes. 60029 is divisible only by 1 and itself.
What are the factors of 60029?
1, 60029.
What is 60029 in binary?
1110101001111101 (hexadecimal EA7D, octal 165175).
What is the square root of 60029?
About 245.0082.
Is 60029 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 60029?
60029 is the 6060th prime number.