The number 97777
97777 is the 9397th prime number. Its only divisors are 1 and 97777.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97777: the 9397th prime number.
- 2
97777 is prime, so its only factors are 1 and 97777. It is the 9397th prime; the next prime is 97787 and the one before is 97771.
- 3
The divisors add up to 97778; without 97777 itself that is 1, so 97777 is deficient (1 is less than 97777). Euler's totient φ(97777) = 97776 numbers up to 97777 share no factor with it.
- 4
The digits of 97777 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 97 steps to reach 1.
97777 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97778 |
| Euler totient φ(n) | 97776 |
| Square | 9560341729 |
| Cube | 934781533236433 |
| Square root | 312.693140 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.7777 × |
97777 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and seventy-seven |
| Binary (base 2) | 10111110111110001 |
| Octal (base 8) | 276761 |
| Hexadecimal (base 16) | 17DF1 |
| Base 3 | 11222010101 |
| As time | 97777 seconds = 27 h 9 min 37 s |
Is 97777 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 1) | 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 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 9) | 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 97777 a prime number?
Yes. 97777 is divisible only by 1 and itself.
What are the factors of 97777?
1, 97777.
What is 97777 in binary?
10111110111110001 (hexadecimal 17DF1, octal 276761).
What is the square root of 97777?
About 312.6931.
Is 97777 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 97777?
97777 is the 9397th prime number.