The number 47431
47431 is the 4891st prime number. Its only divisors are 1 and 47431.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47431: the 4891st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47431 is prime, so its only factors are 1 and 47431. It is the 4891st prime; the next prime is 47441 and the one before is 47419.
- 3
The divisors add up to 47432; without 47431 itself that is 1, so 47431 is deficient (1 is less than 47431). Euler's totient φ(47431) = 47430 numbers up to 47431 share no factor with it.
- 4
The digits of 47431 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
47431 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47432 |
| Euler totient φ(n) | 47430 |
| Square | 2249699761 |
| Cube | 106705509363991 |
| Square root | 217.786593 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.7431 × |
47431 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and thirty-one |
| Binary (base 2) | 1011100101000111 |
| Octal (base 8) | 134507 |
| Hexadecimal (base 16) | B947 |
| Base 3 | 2102001201 |
| As time | 47431 seconds = 13 h 10 min 31 s |
Is 47431 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 6) | 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 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 10) | 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 47431 a prime number?
Yes. 47431 is divisible only by 1 and itself.
What are the factors of 47431?
1, 47431.
What is 47431 in binary?
1011100101000111 (hexadecimal B947, octal 134507).
What is the square root of 47431?
About 217.7866.
Is 47431 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 47431?
47431 is the 4891st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.