The number 41521
41521 is a twin prime (41519 and 41521 are both prime) and the 4343rd prime number. Its only divisors are 1 and 41521.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41521: a twin prime (41519 and 41521 are both prime); the 4343rd prime number.
- 2
41521 is prime, so its only factors are 1 and 41521. It is the 4343rd prime; the next prime is 41539 and the one before is 41519.
- 3
The divisors add up to 41522; without 41521 itself that is 1, so 41521 is deficient (1 is less than 41521). Euler's totient φ(41521) = 41520 numbers up to 41521 share no factor with it.
- 4
The digits of 41521 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 225 steps to reach 1.
41521 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 41522 |
| Euler totient φ(n) | 41520 |
| Square | 1723993441 |
| Cube | 71581931663761 |
| Square root | 203.767024 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 225 |
| Scientific notation | 4.1521 × |
41521 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand five hundred and twenty-one |
| Binary (base 2) | 1010001000110001 |
| Octal (base 8) | 121061 |
| Hexadecimal (base 16) | A231 |
| Base 3 | 2002221211 |
| As time | 41521 seconds = 11 h 32 min 1 s |
Is 41521 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 4) | 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 4) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41521 a prime number?
Yes. 41521 is divisible only by 1 and itself.
What are the factors of 41521?
1, 41521.
What is 41521 in binary?
1010001000110001 (hexadecimal A231, octal 121061).
What is the square root of 41521?
About 203.7670.
Is 41521 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 41521?
41521 is a twin prime (41519 and 41521 are both prime); the 4343rd prime number.