The number 47832
47832 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1993. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1993, 3986, 5979, 7972, 11958, 15944, 23916, 47832.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47832: a Harshad number: divisible by its digit sum 24.
- 2
47832 is composite. Its prime factorisation is
- 3
The divisors add up to 119640; without 47832 itself that is 71808, so 47832 is abundant (71808 is more than 47832). Euler's totient φ(47832) = 15936 numbers up to 47832 share no factor with it.
- 4
The digits of 47832 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47832 = 2^{3} \times 3 \times 1993 \]47832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 119640 |
| Euler totient φ(n) | 15936 |
| Square | 2287900224 |
| Cube | 109434843514368 |
| Square root | 218.705281 (= 2√11958) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.7832 × |
47832 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and thirty-two |
| Binary (base 2) | 1011101011011000 |
| Octal (base 8) | 135330 |
| Hexadecimal (base 16) | BAD8 |
| Base 3 | 2102121120 |
| As time | 47832 seconds = 13 h 17 min 12 s |
Is 47832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47832 ÷ 2 = 23916) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47832 ÷ 3 = 15944) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47832 ÷ 4 = 11958) | 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 (47832 ÷ 6 = 7972) | 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 | Yes (47832 ÷ 8 = 5979) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47832 ÷ 12 = 3986) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47832 a prime number?
No. 47832 = × 3 × 1993, so it is divisible by 2.
What are the factors of 47832?
1, 2, 3, 4, 6, 8, 12, 24, 1993, 3986, 5979, 7972, 11958, 15944, 23916, 47832.
What is 47832 in binary?
1011101011011000 (hexadecimal BAD8, octal 135330).
What is the square root of 47832?
About 218.7053, exactly 2√11958.
Is 47832 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47832?
47832 is a Harshad number: divisible by its digit sum 24.