The number 40241
40241 is the 4227th prime number. Its only divisors are 1 and 40241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40241: the 4227th prime number.
- 2
40241 is prime, so its only factors are 1 and 40241. It is the 4227th prime; the next prime is 40253 and the one before is 40237.
- 3
The divisors add up to 40242; without 40241 itself that is 1, so 40241 is deficient (1 is less than 40241). Euler's totient φ(40241) = 40240 numbers up to 40241 share no factor with it.
- 4
The digits of 40241 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
40241 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40242 |
| Euler totient φ(n) | 40240 |
| Square | 1619338081 |
| Cube | 65163783717521 |
| Square root | 200.601595 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.0241 × |
40241 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and forty-one |
| Binary (base 2) | 1001110100110001 |
| Octal (base 8) | 116461 |
| Hexadecimal (base 16) | 9D31 |
| Base 3 | 2001012102 |
| As time | 40241 seconds = 11 h 10 min 41 s |
Is 40241 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 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 3) | 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 40241 a prime number?
Yes. 40241 is divisible only by 1 and itself.
What are the factors of 40241?
1, 40241.
What is 40241 in binary?
1001110100110001 (hexadecimal 9D31, octal 116461).
What is the square root of 40241?
About 200.6016.
Is 40241 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 40241?
40241 is the 4227th prime number.