The number 47143
47143 is the 4864th prime number. Its only divisors are 1 and 47143.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47143: the 4864th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47143 is prime, so its only factors are 1 and 47143. It is the 4864th prime; the next prime is 47147 and the one before is 47137.
- 3
The divisors add up to 47144; without 47143 itself that is 1, so 47143 is deficient (1 is less than 47143). Euler's totient φ(47143) = 47142 numbers up to 47143 share no factor with it.
- 4
The digits of 47143 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 132 steps to reach 1.
47143 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47144 |
| Euler totient φ(n) | 47142 |
| Square | 2222462449 |
| Cube | 104773547233207 |
| Square root | 217.124388 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.7143 × |
47143 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and forty-three |
| Binary (base 2) | 1011100000100111 |
| Octal (base 8) | 134047 |
| Hexadecimal (base 16) | B827 |
| Base 3 | 2101200001 |
| As time | 47143 seconds = 13 h 5 min 43 s |
Is 47143 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 3) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 47143 a prime number?
Yes. 47143 is divisible only by 1 and itself.
What are the factors of 47143?
1, 47143.
What is 47143 in binary?
1011100000100111 (hexadecimal B827, octal 134047).
What is the square root of 47143?
About 217.1244.
Is 47143 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 47143?
47143 is the 4864th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.