The number 59029
59029 is the 5968th prime number. Its only divisors are 1 and 59029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59029: the 5968th prime number.
- 2
59029 is prime, so its only factors are 1 and 59029. It is the 5968th prime; the next prime is 59051 and the one before is 59023.
- 3
The divisors add up to 59030; without 59029 itself that is 1, so 59029 is deficient (1 is less than 59029). Euler's totient φ(59029) = 59028 numbers up to 59029 share no factor with it.
- 4
The digits of 59029 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
59029 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59030 |
| Euler totient φ(n) | 59028 |
| Square | 3484422841 |
| Cube | 205681995881389 |
| Square root | 242.958844 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.9029 × |
59029 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and twenty-nine |
| Binary (base 2) | 1110011010010101 |
| Octal (base 8) | 163225 |
| Hexadecimal (base 16) | E695 |
| Base 3 | 2222222021 |
| As time | 59029 seconds = 16 h 23 min 49 s |
Is 59029 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 4) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 3) | 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 59029 a prime number?
Yes. 59029 is divisible only by 1 and itself.
What are the factors of 59029?
1, 59029.
What is 59029 in binary?
1110011010010101 (hexadecimal E695, octal 163225).
What is the square root of 59029?
About 242.9588.
Is 59029 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 59029?
59029 is the 5968th prime number.