The number 47432
47432 is a composite number with 36 divisors. Its prime factorisation is × × . Divisors (36): 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 121 … 47432.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47432: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47432 is composite. Its prime factorisation is
- 3
The divisors add up to 113715; without 47432 itself that is 66283, so 47432 is abundant (66283 is more than 47432). Euler's totient φ(47432) = 18480 numbers up to 47432 share no factor with it.
- 4
The digits of 47432 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 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47432 = 2^{3} \times 7^{2} \times 11^{2} \]47432 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 113715 |
| Euler totient φ(n) | 18480 |
| Square | 2249794624 |
| Cube | 106712258605568 |
| Square root | 217.788889 (= 154√2) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.7432 × |
47432 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and thirty-two |
| Binary (base 2) | 1011100101001000 |
| Octal (base 8) | 134510 |
| Hexadecimal (base 16) | B948 |
| Base 3 | 2102001202 |
| As time | 47432 seconds = 13 h 10 min 32 s |
Is 47432 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47432 ÷ 2 = 23716) | 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 | Yes (47432 ÷ 4 = 11858) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47432 ÷ 7 = 6776) | 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 (47432 ÷ 8 = 5929) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47432 ÷ 11 = 4312) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47432 a prime number?
No. 47432 = × × , so it is divisible by 2.
What are the factors of 47432?
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 49, 56, 77, 88, 98, 121, 154, 196, 242, 308, 392, 484, 539, 616, 847, 968, 1078, 1694, 2156, 3388, 4312, 5929, 6776, 11858, 23716, 47432.
What is 47432 in binary?
1011100101001000 (hexadecimal B948, octal 134510).
What is the square root of 47432?
About 217.7889, exactly 154√2.
Is 47432 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47432?
47432 is a happy number: repeatedly adding the squares of its digits reaches 1.