The number 47132
47132 is a composite number with 6 divisors. Its prime factorisation is × 11783. Divisors (6): 1, 2, 4, 11783, 23566, 47132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47132: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47132 is composite. Its prime factorisation is
- 3
The divisors add up to 82488; without 47132 itself that is 35356, so 47132 is deficient (35356 is less than 47132). Euler's totient φ(47132) = 23564 numbers up to 47132 share no factor with it.
- 4
The digits of 47132 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47132 = 2^{2} \times 11783 \]47132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 82488 |
| Euler totient φ(n) | 23564 |
| Square | 2221425424 |
| Cube | 104700223083968 |
| Square root | 217.099056 (= 2√11783) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7132 × |
47132 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and thirty-two |
| Binary (base 2) | 1011100000011100 |
| Octal (base 8) | 134034 |
| Hexadecimal (base 16) | B81C |
| Base 3 | 2101122122 |
| As time | 47132 seconds = 13 h 5 min 32 s |
Is 47132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47132 ÷ 2 = 23566) | 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 (47132 ÷ 4 = 11783) | 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 1) | 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 8) | 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 8) | 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 47132 a prime number?
No. 47132 = × 11783, so it is divisible by 2.
What are the factors of 47132?
1, 2, 4, 11783, 23566, 47132.
What is 47132 in binary?
1011100000011100 (hexadecimal B81C, octal 134034).
What is the square root of 47132?
About 217.0991, exactly 2√11783.
Is 47132 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 47132?
47132 is a happy number: repeatedly adding the squares of its digits reaches 1.