The number 41081
41081 is the 4300th prime number. Its only divisors are 1 and 41081.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41081: the 4300th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41081 is prime, so its only factors are 1 and 41081. It is the 4300th prime; the next prime is 41113 and the one before is 41077.
- 3
The divisors add up to 41082; without 41081 itself that is 1, so 41081 is deficient (1 is less than 41081). Euler's totient φ(41081) = 41080 numbers up to 41081 share no factor with it.
- 4
The digits of 41081 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
41081 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 41082 |
| Euler totient φ(n) | 41080 |
| Square | 1687648561 |
| Cube | 69330290534441 |
| Square root | 202.684484 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.1081 × |
41081 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and eighty-one |
| Binary (base 2) | 1010000001111001 |
| Octal (base 8) | 120171 |
| Hexadecimal (base 16) | A079 |
| Base 3 | 2002100112 |
| As time | 41081 seconds = 11 h 24 min 41 s |
Is 41081 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 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 5) | 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 7) | 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 41081 a prime number?
Yes. 41081 is divisible only by 1 and itself.
What are the factors of 41081?
1, 41081.
What is 41081 in binary?
1010000001111001 (hexadecimal A079, octal 120171).
What is the square root of 41081?
About 202.6845.
Is 41081 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 41081?
41081 is the 4300th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.