The number 77797
77797 is the 7647th prime number. Its only divisors are 1 and 77797.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77797: the 7647th prime number.
- 2
77797 is prime, so its only factors are 1 and 77797. It is the 7647th prime; the next prime is 77801 and the one before is 77783.
- 3
The divisors add up to 77798; without 77797 itself that is 1, so 77797 is deficient (1 is less than 77797). Euler's totient φ(77797) = 77796 numbers up to 77797 share no factor with it.
- 4
The digits of 77797 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 76 steps to reach 1.
77797 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77798 |
| Euler totient φ(n) | 77796 |
| Square | 6052373209 |
| Cube | 470856478540573 |
| Square root | 278.921136 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7797 × |
77797 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and ninety-seven |
| Binary (base 2) | 10010111111100101 |
| Octal (base 8) | 227745 |
| Hexadecimal (base 16) | 12FE5 |
| Base 3 | 10221201101 |
| As time | 77797 seconds = 21 h 36 min 37 s |
Is 77797 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 6) | 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 5) | 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 77797 a prime number?
Yes. 77797 is divisible only by 1 and itself.
What are the factors of 77797?
1, 77797.
What is 77797 in binary?
10010111111100101 (hexadecimal 12FE5, octal 227745).
What is the square root of 77797?
About 278.9211.
Is 77797 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 77797?
77797 is the 7647th prime number.