The number 47017
47017 is the 4852nd prime number. Its only divisors are 1 and 47017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47017: the 4852nd prime number.
- 2
47017 is prime, so its only factors are 1 and 47017. It is the 4852nd prime; the next prime is 47041 and the one before is 46997.
- 3
The divisors add up to 47018; without 47017 itself that is 1, so 47017 is deficient (1 is less than 47017). Euler's totient φ(47017) = 47016 numbers up to 47017 share no factor with it.
- 4
The digits of 47017 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
47017 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47018 |
| Euler totient φ(n) | 47016 |
| Square | 2210598289 |
| Cube | 103935699753913 |
| Square root | 216.834038 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.7017 × |
47017 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and seventeen |
| Binary (base 2) | 1011011110101001 |
| Octal (base 8) | 133651 |
| Hexadecimal (base 16) | B7A9 |
| Base 3 | 2101111101 |
| As time | 47017 seconds = 13 h 3 min 37 s |
Is 47017 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 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 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 3) | 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 47017 a prime number?
Yes. 47017 is divisible only by 1 and itself.
What are the factors of 47017?
1, 47017.
What is 47017 in binary?
1011011110101001 (hexadecimal B7A9, octal 133651).
What is the square root of 47017?
About 216.8340.
Is 47017 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 47017?
47017 is the 4852nd prime number.