The number 77711
77711 is a twin prime (77711 and 77713 are both prime) and the 7637th prime number. Its only divisors are 1 and 77711.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77711: a twin prime (77711 and 77713 are both prime); the 7637th prime number.
- 2
77711 is prime, so its only factors are 1 and 77711. It is the 7637th prime; the next prime is 77713 and the one before is 77699.
- 3
The divisors add up to 77712; without 77711 itself that is 1, so 77711 is deficient (1 is less than 77711). Euler's totient φ(77711) = 77710 numbers up to 77711 share no factor with it.
- 4
The digits of 77711 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
77711 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77712 |
| Euler totient φ(n) | 77710 |
| Square | 6038999521 |
| Cube | 469296691776431 |
| Square root | 278.766928 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.7711 × |
77711 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and eleven |
| Binary (base 2) | 10010111110001111 |
| Octal (base 8) | 227617 |
| Hexadecimal (base 16) | 12F8F |
| Base 3 | 10221121012 |
| As time | 77711 seconds = 21 h 35 min 11 s |
Is 77711 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 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | 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 77711 a prime number?
Yes. 77711 is divisible only by 1 and itself.
What are the factors of 77711?
1, 77711.
What is 77711 in binary?
10010111110001111 (hexadecimal 12F8F, octal 227617).
What is the square root of 77711?
About 278.7669.
Is 77711 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 77711?
77711 is a twin prime (77711 and 77713 are both prime); the 7637th prime number.