The number 47724
47724 is a composite number with 24 divisors. Its prime factorisation is × 3 × 41 × 97. Divisors (24): 1, 2, 3, 4, 6, 12, 41, 82, 97, 123, 164, 194, 246, 291, 388, 492 … 47724.
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How to work it out
- 1
47724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47724 is composite. Its prime factorisation is
- 3
The divisors add up to 115248; without 47724 itself that is 67524, so 47724 is abundant (67524 is more than 47724). Euler's totient φ(47724) = 15360 numbers up to 47724 share no factor with it.
- 4
The digits of 47724 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 220 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47724 = 2^{2} \times 3 \times 41 \times 97 \]47724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 115248 |
| Euler totient φ(n) | 15360 |
| Square | 2277580176 |
| Cube | 108695236319424 |
| Square root | 218.458234 (= 2√11931) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 220 |
| Scientific notation | 4.7724 × |
47724 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and twenty-four |
| Binary (base 2) | 1011101001101100 |
| Octal (base 8) | 135154 |
| Hexadecimal (base 16) | BA6C |
| Base 3 | 2102110120 |
| As time | 47724 seconds = 13 h 15 min 24 s |
Is 47724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47724 ÷ 2 = 23862) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47724 ÷ 3 = 15908) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47724 ÷ 4 = 11931) | 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 (47724 ÷ 6 = 7954) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47724 ÷ 12 = 3977) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47724 a prime number?
No. 47724 = × 3 × 41 × 97, so it is divisible by 2.
What are the factors of 47724?
1, 2, 3, 4, 6, 12, 41, 82, 97, 123, 164, 194, 246, 291, 388, 492, 582, 1164, 3977, 7954, 11931, 15908, 23862, 47724.
What is 47724 in binary?
1011101001101100 (hexadecimal BA6C, octal 135154).
What is the square root of 47724?
About 218.4582, exactly 2√11931.
Is 47724 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47724?
It is a composite number with 24 divisors.