The number 59797
59797 is the 6045th prime number. Its only divisors are 1 and 59797.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59797: the 6045th prime number.
- 2
59797 is prime, so its only factors are 1 and 59797. It is the 6045th prime; the next prime is 59809 and the one before is 59791.
- 3
The divisors add up to 59798; without 59797 itself that is 1, so 59797 is deficient (1 is less than 59797). Euler's totient φ(59797) = 59796 numbers up to 59797 share no factor with it.
- 4
The digits of 59797 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
59797 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59798 |
| Euler totient φ(n) | 59796 |
| Square | 3575681209 |
| Cube | 213815009254573 |
| Square root | 244.534251 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.9797 × |
59797 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand seven hundred and ninety-seven |
| Binary (base 2) | 1110100110010101 |
| Octal (base 8) | 164625 |
| Hexadecimal (base 16) | E995 |
| Base 3 | 10001000201 |
| As time | 59797 seconds = 16 h 36 min 37 s |
Is 59797 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 2) | 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 3) | 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 1) | 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 1) | 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 59797 a prime number?
Yes. 59797 is divisible only by 1 and itself.
What are the factors of 59797?
1, 59797.
What is 59797 in binary?
1110100110010101 (hexadecimal E995, octal 164625).
What is the square root of 59797?
About 244.5343.
Is 59797 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 59797?
59797 is the 6045th prime number.