The number 77713
77713 is a twin prime (77711 and 77713 are both prime) and the 7638th prime number. Its only divisors are 1 and 77713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77713: a twin prime (77711 and 77713 are both prime); the 7638th prime number.
- 2
77713 is prime, so its only factors are 1 and 77713. It is the 7638th prime; the next prime is 77719 and the one before is 77711.
- 3
The divisors add up to 77714; without 77713 itself that is 1, so 77713 is deficient (1 is less than 77713). Euler's totient φ(77713) = 77712 numbers up to 77713 share no factor with it.
- 4
The digits of 77713 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
77713 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77714 |
| Euler totient φ(n) | 77712 |
| Square | 6039310369 |
| Cube | 469332926706097 |
| Square root | 278.770515 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7713 × |
77713 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and thirteen |
| Binary (base 2) | 10010111110010001 |
| Octal (base 8) | 227621 |
| Hexadecimal (base 16) | 12F91 |
| Base 3 | 10221121021 |
| As time | 77713 seconds = 21 h 35 min 13 s |
Is 77713 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 77713 a prime number?
Yes. 77713 is divisible only by 1 and itself.
What are the factors of 77713?
1, 77713.
What is 77713 in binary?
10010111110010001 (hexadecimal 12F91, octal 227621).
What is the square root of 77713?
About 278.7705.
Is 77713 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 77713?
77713 is a twin prime (77711 and 77713 are both prime); the 7638th prime number.