The number 41017
41017 is the 4293rd prime number. Its only divisors are 1 and 41017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41017: the 4293rd prime number.
- 2
41017 is prime, so its only factors are 1 and 41017. It is the 4293rd prime; the next prime is 41023 and the one before is 41011.
- 3
The divisors add up to 41018; without 41017 itself that is 1, so 41017 is deficient (1 is less than 41017). Euler's totient φ(41017) = 41016 numbers up to 41017 share no factor with it.
- 4
The digits of 41017 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
41017 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 41018 |
| Euler totient φ(n) | 41016 |
| Square | 1682394289 |
| Cube | 69006766551913 |
| Square root | 202.526541 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.1017 × |
41017 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and seventeen |
| Binary (base 2) | 1010000000111001 |
| Octal (base 8) | 120071 |
| Hexadecimal (base 16) | A039 |
| Base 3 | 2002021011 |
| As time | 41017 seconds = 11 h 23 min 37 s |
Is 41017 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 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 41017 a prime number?
Yes. 41017 is divisible only by 1 and itself.
What are the factors of 41017?
1, 41017.
What is 41017 in binary?
1010000000111001 (hexadecimal A039, octal 120071).
What is the square root of 41017?
About 202.5265.
Is 41017 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 41017?
41017 is the 4293rd prime number.