The number 47243
47243 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 397. Divisors (8): 1, 7, 17, 119, 397, 2779, 6749, 47243.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47243: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47243 is composite. Its prime factorisation is
- 3
The divisors add up to 57312; without 47243 itself that is 10069, so 47243 is deficient (10069 is less than 47243). Euler's totient φ(47243) = 38016 numbers up to 47243 share no factor with it.
- 4
The digits of 47243 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47243 = 7 \times 17 \times 397 \]
47243 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57312 |
| Euler totient φ(n) | 38016 |
| Square | 2231901049 |
| Cube | 105441701257907 |
| Square root | 217.354549 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7243 × |
47243 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and forty-three |
| Binary (base 2) | 1011100010001011 |
| Octal (base 8) | 134213 |
| Hexadecimal (base 16) | B88B |
| Base 3 | 2101210202 |
| As time | 47243 seconds = 13 h 7 min 23 s |
Is 47243 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47243 ÷ 7 = 6749) | 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 3) | 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 3) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47243 a prime number?
No. 47243 = 7 × 17 × 397, so it is divisible by 7.
What are the factors of 47243?
1, 7, 17, 119, 397, 2779, 6749, 47243.
What is 47243 in binary?
1011100010001011 (hexadecimal B88B, octal 134213).
What is the square root of 47243?
About 217.3545.
Is 47243 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47243?
47243 is a happy number: repeatedly adding the squares of its digits reaches 1.