The number 41221
41221 is the 4315th prime number. Its only divisors are 1 and 41221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41221: the 4315th prime number.
- 2
41221 is prime, so its only factors are 1 and 41221. It is the 4315th prime; the next prime is 41227 and the one before is 41213.
- 3
The divisors add up to 41222; without 41221 itself that is 1, so 41221 is deficient (1 is less than 41221). Euler's totient φ(41221) = 41220 numbers up to 41221 share no factor with it.
- 4
The digits of 41221 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
41221 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 41222 |
| Euler totient φ(n) | 41220 |
| Square | 1699170841 |
| Cube | 70041521236861 |
| Square root | 203.029554 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1221 × |
41221 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand two hundred and twenty-one |
| Binary (base 2) | 1010000100000101 |
| Octal (base 8) | 120405 |
| Hexadecimal (base 16) | A105 |
| Base 3 | 2002112201 |
| As time | 41221 seconds = 11 h 27 min 1 s |
Is 41221 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | 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 41221 a prime number?
Yes. 41221 is divisible only by 1 and itself.
What are the factors of 41221?
1, 41221.
What is 41221 in binary?
1010000100000101 (hexadecimal A105, octal 120405).
What is the square root of 41221?
About 203.0296.
Is 41221 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 41221?
41221 is the 4315th prime number.