The number 47844
47844 is a composite number with 24 divisors. Its prime factorisation is × × 443. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 443, 886, 1329, 1772 … 47844.
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How to work it out
- 1
What is special about 47844: a Harshad number: divisible by its digit sum 27.
- 2
47844 is composite. Its prime factorisation is
- 3
The divisors add up to 124320; without 47844 itself that is 76476, so 47844 is abundant (76476 is more than 47844). Euler's totient φ(47844) = 15912 numbers up to 47844 share no factor with it.
- 4
The digits of 47844 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47844 = 2^{2} \times 3^{3} \times 443 \]47844 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 124320 |
| Euler totient φ(n) | 15912 |
| Square | 2289048336 |
| Cube | 109517228587584 |
| Square root | 218.732714 (= 6√1329) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7844 × |
47844 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and forty-four |
| Binary (base 2) | 1011101011100100 |
| Octal (base 8) | 135344 |
| Hexadecimal (base 16) | BAE4 |
| Base 3 | 2102122000 |
| As time | 47844 seconds = 13 h 17 min 24 s |
Is 47844 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47844 ÷ 2 = 23922) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47844 ÷ 3 = 15948) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47844 ÷ 4 = 11961) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47844 ÷ 6 = 7974) | 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 | Yes (47844 ÷ 9 = 5316) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47844 ÷ 12 = 3987) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47844 a prime number?
No. 47844 = × × 443, so it is divisible by 2.
What are the factors of 47844?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 443, 886, 1329, 1772, 2658, 3987, 5316, 7974, 11961, 15948, 23922, 47844.
What is 47844 in binary?
1011101011100100 (hexadecimal BAE4, octal 135344).
What is the square root of 47844?
About 218.7327, exactly 6√1329.
Is 47844 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47844?
47844 is a Harshad number: divisible by its digit sum 27.