The number 47717
47717 is the 4920th prime number. Its only divisors are 1 and 47717.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47717: the 4920th prime number.
- 2
47717 is prime, so its only factors are 1 and 47717. It is the 4920th prime; the next prime is 47737 and the one before is 47713.
- 3
The divisors add up to 47718; without 47717 itself that is 1, so 47717 is deficient (1 is less than 47717). Euler's totient φ(47717) = 47716 numbers up to 47717 share no factor with it.
- 4
The digits of 47717 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
47717 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47718 |
| Euler totient φ(n) | 47716 |
| Square | 2276912089 |
| Cube | 108647414150813 |
| Square root | 218.442212 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7717 × |
47717 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and seventeen |
| Binary (base 2) | 1011101001100101 |
| Octal (base 8) | 135145 |
| Hexadecimal (base 16) | BA65 |
| Base 3 | 2102110022 |
| As time | 47717 seconds = 13 h 15 min 17 s |
Is 47717 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 8) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47717 a prime number?
Yes. 47717 is divisible only by 1 and itself.
What are the factors of 47717?
1, 47717.
What is 47717 in binary?
1011101001100101 (hexadecimal BA65, octal 135145).
What is the square root of 47717?
About 218.4422.
Is 47717 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 47717?
47717 is the 4920th prime number.