The number 47732
47732 is a composite number with 6 divisors. Its prime factorisation is × 11933. Divisors (6): 1, 2, 4, 11933, 23866, 47732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47732 is composite. Its prime factorisation is
- 3
The divisors add up to 83538; without 47732 itself that is 35806, so 47732 is deficient (35806 is less than 47732). Euler's totient φ(47732) = 23864 numbers up to 47732 share no factor with it.
- 4
The digits of 47732 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47732 = 2^{2} \times 11933 \]47732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 83538 |
| Euler totient φ(n) | 23864 |
| Square | 2278343824 |
| Cube | 108749907407168 |
| Square root | 218.476543 (= 2√11933) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7732 × |
47732 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and thirty-two |
| Binary (base 2) | 1011101001110100 |
| Octal (base 8) | 135164 |
| Hexadecimal (base 16) | BA74 |
| Base 3 | 2102110212 |
| As time | 47732 seconds = 13 h 15 min 32 s |
Is 47732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47732 ÷ 2 = 23866) | 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 (47732 ÷ 4 = 11933) | 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 | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | 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 47732 a prime number?
No. 47732 = × 11933, so it is divisible by 2.
What are the factors of 47732?
1, 2, 4, 11933, 23866, 47732.
What is 47732 in binary?
1011101001110100 (hexadecimal BA74, octal 135164).
What is the square root of 47732?
About 218.4765, exactly 2√11933.
Is 47732 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47732?
It is a composite number with 6 divisors.