The number 59771
59771 is the 6042nd prime number. Its only divisors are 1 and 59771.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59771: the 6042nd prime number.
- 2
59771 is prime, so its only factors are 1 and 59771. It is the 6042nd prime; the next prime is 59779 and the one before is 59753.
- 3
The divisors add up to 59772; without 59771 itself that is 1, so 59771 is deficient (1 is less than 59771). Euler's totient φ(59771) = 59770 numbers up to 59771 share no factor with it.
- 4
The digits of 59771 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
59771 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59772 |
| Euler totient φ(n) | 59770 |
| Square | 3572572441 |
| Cube | 213536227371011 |
| Square root | 244.481083 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 117 |
| Scientific notation | 5.9771 × |
59771 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand seven hundred and seventy-one |
| Binary (base 2) | 1110100101111011 |
| Octal (base 8) | 164573 |
| Hexadecimal (base 16) | E97B |
| Base 3 | 10000222202 |
| As time | 59771 seconds = 16 h 36 min 11 s |
Is 59771 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59771 a prime number?
Yes. 59771 is divisible only by 1 and itself.
What are the factors of 59771?
1, 59771.
What is 59771 in binary?
1110100101111011 (hexadecimal E97B, octal 164573).
What is the square root of 59771?
About 244.4811.
Is 59771 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 59771?
59771 is the 6042nd prime number.