The number 47232
47232 is a composite number with 48 divisors. Its prime factorisation is × × 41. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 41, 48, 64 … 47232.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47232: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
47232 is composite. Its prime factorisation is
- 3
The divisors add up to 139230; without 47232 itself that is 91998, so 47232 is abundant (91998 is more than 47232). Euler's totient φ(47232) = 15360 numbers up to 47232 share no factor with it.
- 4
The digits of 47232 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47232 = 2^{7} \times 3^{2} \times 41 \]47232 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 139230 |
| Euler totient φ(n) | 15360 |
| Square | 2230861824 |
| Cube | 105368065671168 |
| Square root | 217.329243 (= 24√82) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 26 |
| Scientific notation | 4.7232 × |
47232 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and thirty-two |
| Binary (base 2) | 1011100010000000 |
| Octal (base 8) | 134200 |
| Hexadecimal (base 16) | B880 |
| Base 3 | 2101210100 |
| As time | 47232 seconds = 13 h 7 min 12 s |
Is 47232 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47232 ÷ 2 = 23616) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47232 ÷ 3 = 15744) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47232 ÷ 4 = 11808) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47232 ÷ 6 = 7872) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (47232 ÷ 8 = 5904) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47232 ÷ 9 = 5248) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (47232 ÷ 12 = 3936) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47232 a prime number?
No. 47232 = × × 41, so it is divisible by 2.
What are the factors of 47232?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 41, 48, 64, 72, 82, 96, 123, 128, 144, 164, 192, 246, 288, 328, 369, 384, 492, 576, 656, 738, 984, 1152, 1312, 1476, 1968, 2624, 2952, 3936, 5248, 5904, 7872, 11808, 15744, 23616, 47232.
What is 47232 in binary?
1011100010000000 (hexadecimal B880, octal 134200).
What is the square root of 47232?
About 217.3292, exactly 24√82.
Is 47232 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47232?
47232 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.