The number 41201
41201 is a twin prime (41201 and 41203 are both prime) and the 4312th prime number. Its only divisors are 1 and 41201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41201: a twin prime (41201 and 41203 are both prime); the 4312th prime number.
- 2
41201 is prime, so its only factors are 1 and 41201. It is the 4312th prime; the next prime is 41203 and the one before is 41189.
- 3
The divisors add up to 41202; without 41201 itself that is 1, so 41201 is deficient (1 is less than 41201). Euler's totient φ(41201) = 41200 numbers up to 41201 share no factor with it.
- 4
The digits of 41201 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
41201 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 41202 |
| Euler totient φ(n) | 41200 |
| Square | 1697522401 |
| Cube | 69939620443601 |
| Square root | 202.980295 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1201 × |
41201 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand two hundred and one |
| Binary (base 2) | 1010000011110001 |
| Octal (base 8) | 120361 |
| Hexadecimal (base 16) | A0F1 |
| Base 3 | 2002111222 |
| As time | 41201 seconds = 11 h 26 min 41 s |
Is 41201 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 6) | 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 8) | 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 6) | 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 41201 a prime number?
Yes. 41201 is divisible only by 1 and itself.
What are the factors of 41201?
1, 41201.
What is 41201 in binary?
1010000011110001 (hexadecimal A0F1, octal 120361).
What is the square root of 41201?
About 202.9803.
Is 41201 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 41201?
41201 is a twin prime (41201 and 41203 are both prime); the 4312th prime number.