The number 59743
59743 is the 6039th prime number. Its only divisors are 1 and 59743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59743: the 6039th prime number.
- 2
59743 is prime, so its only factors are 1 and 59743. It is the 6039th prime; the next prime is 59747 and the one before is 59729.
- 3
The divisors add up to 59744; without 59743 itself that is 1, so 59743 is deficient (1 is less than 59743). Euler's totient φ(59743) = 59742 numbers up to 59743 share no factor with it.
- 4
The digits of 59743 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
59743 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59744 |
| Euler totient φ(n) | 59742 |
| Square | 3569226049 |
| Cube | 213236271845407 |
| Square root | 244.423812 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.9743 × |
59743 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand seven hundred and forty-three |
| Binary (base 2) | 1110100101011111 |
| Octal (base 8) | 164537 |
| Hexadecimal (base 16) | E95F |
| Base 3 | 10000221201 |
| As time | 59743 seconds = 16 h 35 min 43 s |
Is 59743 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59743 a prime number?
Yes. 59743 is divisible only by 1 and itself.
What are the factors of 59743?
1, 59743.
What is 59743 in binary?
1110100101011111 (hexadecimal E95F, octal 164537).
What is the square root of 59743?
About 244.4238.
Is 59743 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 59743?
59743 is the 6039th prime number.