The number 40471
40471 is the 4242nd prime number. Its only divisors are 1 and 40471.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40471: the 4242nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40471 is prime, so its only factors are 1 and 40471. It is the 4242nd prime; the next prime is 40483 and the one before is 40459.
- 3
The divisors add up to 40472; without 40471 itself that is 1, so 40471 is deficient (1 is less than 40471). Euler's totient φ(40471) = 40470 numbers up to 40471 share no factor with it.
- 4
The digits of 40471 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 181 steps to reach 1.
40471 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40472 |
| Euler totient φ(n) | 40470 |
| Square | 1637901841 |
| Cube | 66287525407111 |
| Square root | 201.174054 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0471 × |
40471 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and seventy-one |
| Binary (base 2) | 1001111000010111 |
| Octal (base 8) | 117027 |
| Hexadecimal (base 16) | 9E17 |
| Base 3 | 2001111221 |
| As time | 40471 seconds = 11 h 14 min 31 s |
Is 40471 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 3) | 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 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40471 a prime number?
Yes. 40471 is divisible only by 1 and itself.
What are the factors of 40471?
1, 40471.
What is 40471 in binary?
1001111000010111 (hexadecimal 9E17, octal 117027).
What is the square root of 40471?
About 201.1741.
Is 40471 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40471?
40471 is the 4242nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.