The number 47441
47441 is the 4892nd prime number. Its only divisors are 1 and 47441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47441: the 4892nd prime number.
- 2
47441 is prime, so its only factors are 1 and 47441. It is the 4892nd prime; the next prime is 47459 and the one before is 47431.
- 3
The divisors add up to 47442; without 47441 itself that is 1, so 47441 is deficient (1 is less than 47441). Euler's totient φ(47441) = 47440 numbers up to 47441 share no factor with it.
- 4
The digits of 47441 add up to 20, 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.
47441 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47442 |
| Euler totient φ(n) | 47440 |
| Square | 2250648481 |
| Cube | 106773014587121 |
| Square root | 217.809550 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.7441 × |
47441 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and forty-one |
| Binary (base 2) | 1011100101010001 |
| Octal (base 8) | 134521 |
| Hexadecimal (base 16) | B951 |
| Base 3 | 2102002002 |
| As time | 47441 seconds = 13 h 10 min 41 s |
Is 47441 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 2) | 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 9) | 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 47441 a prime number?
Yes. 47441 is divisible only by 1 and itself.
What are the factors of 47441?
1, 47441.
What is 47441 in binary?
1011100101010001 (hexadecimal B951, octal 134521).
What is the square root of 47441?
About 217.8095.
Is 47441 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47441?
47441 is the 4892nd prime number.