The number 59729
59729 is the 6038th prime number. Its only divisors are 1 and 59729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59729: the 6038th prime number.
- 2
59729 is prime, so its only factors are 1 and 59729. It is the 6038th prime; the next prime is 59743 and the one before is 59723.
- 3
The divisors add up to 59730; without 59729 itself that is 1, so 59729 is deficient (1 is less than 59729). Euler's totient φ(59729) = 59728 numbers up to 59729 share no factor with it.
- 4
The digits of 59729 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
59729 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59730 |
| Euler totient φ(n) | 59728 |
| Square | 3567553441 |
| Cube | 213086399477489 |
| Square root | 244.395172 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.9729 × |
59729 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand seven hundred and twenty-nine |
| Binary (base 2) | 1110100101010001 |
| Octal (base 8) | 164521 |
| Hexadecimal (base 16) | E951 |
| Base 3 | 10000221012 |
| As time | 59729 seconds = 16 h 35 min 29 s |
Is 59729 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 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 59729 a prime number?
Yes. 59729 is divisible only by 1 and itself.
What are the factors of 59729?
1, 59729.
What is 59729 in binary?
1110100101010001 (hexadecimal E951, octal 164521).
What is the square root of 59729?
About 244.3952.
Is 59729 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 59729?
59729 is the 6038th prime number.