The number 97771
97771 is the 9396th prime number. Its only divisors are 1 and 97771.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97771: the 9396th prime number.
- 2
97771 is prime, so its only factors are 1 and 97771. It is the 9396th prime; the next prime is 97777 and the one before is 97729.
- 3
The divisors add up to 97772; without 97771 itself that is 1, so 97771 is deficient (1 is less than 97771). Euler's totient φ(97771) = 97770 numbers up to 97771 share no factor with it.
- 4
The digits of 97771 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
97771 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97772 |
| Euler totient φ(n) | 97770 |
| Square | 9559168441 |
| Cube | 934609457645011 |
| Square root | 312.683546 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7771 × |
97771 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and seventy-one |
| Binary (base 2) | 10111110111101011 |
| Octal (base 8) | 276753 |
| Hexadecimal (base 16) | 17DEB |
| Base 3 | 11222010011 |
| As time | 97771 seconds = 27 h 9 min 31 s |
Is 97771 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 1) | 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 2) | 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 4) | 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 3) | 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 97771 a prime number?
Yes. 97771 is divisible only by 1 and itself.
What are the factors of 97771?
1, 97771.
What is 97771 in binary?
10111110111101011 (hexadecimal 17DEB, octal 276753).
What is the square root of 97771?
About 312.6835.
Is 97771 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 97771?
97771 is the 9396th prime number.