The number 41681
41681 is the 4361st prime number. Its only divisors are 1 and 41681.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41681: the 4361st prime number.
- 2
41681 is prime, so its only factors are 1 and 41681. It is the 4361st prime; the next prime is 41687 and the one before is 41669.
- 3
The divisors add up to 41682; without 41681 itself that is 1, so 41681 is deficient (1 is less than 41681). Euler's totient φ(41681) = 41680 numbers up to 41681 share no factor with it.
- 4
The digits of 41681 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
41681 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 41682 |
| Euler totient φ(n) | 41680 |
| Square | 1737305761 |
| Cube | 72412641424241 |
| Square root | 204.159252 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.1681 × |
41681 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand six hundred and eighty-one |
| Binary (base 2) | 1010001011010001 |
| Octal (base 8) | 121321 |
| Hexadecimal (base 16) | A2D1 |
| Base 3 | 2010011202 |
| As time | 41681 seconds = 11 h 34 min 41 s |
Is 41681 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 1) | 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 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 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41681 a prime number?
Yes. 41681 is divisible only by 1 and itself.
What are the factors of 41681?
1, 41681.
What is 41681 in binary?
1010001011010001 (hexadecimal A2D1, octal 121321).
What is the square root of 41681?
About 204.1593.
Is 41681 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 41681?
41681 is the 4361st prime number.