The number 47424
47424 is a composite number with 56 divisors. Its prime factorisation is × 3 × 13 × 19. Divisors (56): 1, 2, 3, 4, 6, 8, 12, 13, 16, 19, 24, 26, 32, 38, 39, 48 … 47424.
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How to work it out
- 1
47424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47424 is composite. Its prime factorisation is
- 3
The divisors add up to 142240; without 47424 itself that is 94816, so 47424 is abundant (94816 is more than 47424). Euler's totient φ(47424) = 13824 numbers up to 47424 share no factor with it.
- 4
The digits of 47424 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47424 = 2^{6} \times 3 \times 13 \times 19 \]47424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 142240 |
| Euler totient φ(n) | 13824 |
| Square | 2249035776 |
| Cube | 106658272641024 |
| Square root | 217.770521 (= 8√741) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7424 × |
47424 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and twenty-four |
| Binary (base 2) | 1011100101000000 |
| Octal (base 8) | 134500 |
| Hexadecimal (base 16) | B940 |
| Base 3 | 2102001110 |
| As time | 47424 seconds = 13 h 10 min 24 s |
Is 47424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47424 ÷ 2 = 23712) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47424 ÷ 3 = 15808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47424 ÷ 4 = 11856) | 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 (47424 ÷ 6 = 7904) | 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 | Yes (47424 ÷ 8 = 5928) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47424 ÷ 12 = 3952) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47424 a prime number?
No. 47424 = × 3 × 13 × 19, so it is divisible by 2.
What are the factors of 47424?
1, 2, 3, 4, 6, 8, 12, 13, 16, 19, 24, 26, 32, 38, 39, 48, 52, 57, 64, 76, 78, 96, 104, 114, 152, 156, 192, 208, 228, 247, 304, 312, 416, 456, 494, 608, 624, 741, 832, 912, 988, 1216, 1248, 1482, 1824, 1976, 2496, 2964, 3648, 3952, 5928, 7904, 11856, 15808, 23712, 47424.
What is 47424 in binary?
1011100101000000 (hexadecimal B940, octal 134500).
What is the square root of 47424?
About 217.7705, exactly 8√741.
Is 47424 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47424?
It is a composite number with 56 divisors.