The number 47041
47041 is the 4853rd prime number. Its only divisors are 1 and 47041.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47041: the 4853rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47041 is prime, so its only factors are 1 and 47041. It is the 4853rd prime; the next prime is 47051 and the one before is 47017.
- 3
The divisors add up to 47042; without 47041 itself that is 1, so 47041 is deficient (1 is less than 47041). Euler's totient φ(47041) = 47040 numbers up to 47041 share no factor with it.
- 4
The digits of 47041 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
47041 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47042 |
| Euler totient φ(n) | 47040 |
| Square | 2212855681 |
| Cube | 104094944089921 |
| Square root | 216.889373 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7041 × |
47041 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and forty-one |
| Binary (base 2) | 1011011111000001 |
| Octal (base 8) | 133701 |
| Hexadecimal (base 16) | B7C1 |
| Base 3 | 2101112021 |
| As time | 47041 seconds = 13 h 4 min 1 s |
Is 47041 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 1) | 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 7) | 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 5) | 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 47041 a prime number?
Yes. 47041 is divisible only by 1 and itself.
What are the factors of 47041?
1, 47041.
What is 47041 in binary?
1011011111000001 (hexadecimal B7C1, octal 133701).
What is the square root of 47041?
About 216.8894.
Is 47041 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 47041?
47041 is the 4853rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.