The number 17041
17041 is the 1966th prime number. Its only divisors are 1 and 17041.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17041: the 1966th prime number.
- 2
17041 is prime, so its only factors are 1 and 17041. It is the 1966th prime; the next prime is 17047 and the one before is 17033.
- 3
The divisors add up to 17042; without 17041 itself that is 1, so 17041 is deficient (1 is less than 17041). Euler's totient φ(17041) = 17040 numbers up to 17041 share no factor with it.
- 4
The digits of 17041 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 79 steps to reach 1.
17041 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17042 |
| Euler totient φ(n) | 17040 |
| Square | 290395681 |
| Cube | 4948632799921 |
| Square root | 130.541181 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7041 × |
17041 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and forty-one |
| Binary (base 2) | 100001010010001 |
| Octal (base 8) | 41221 |
| Hexadecimal (base 16) | 4291 |
| Base 3 | 212101011 |
| As time | 17041 seconds = 4 h 44 min 1 s |
Is 17041 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 1) | 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 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 17041 a prime number?
Yes. 17041 is divisible only by 1 and itself.
What are the factors of 17041?
1, 17041.
What is 17041 in binary?
100001010010001 (hexadecimal 4291, octal 41221).
What is the square root of 17041?
About 130.5412.
Is 17041 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 17041?
17041 is the 1966th prime number.