The number 47484
47484 is a composite number with 18 divisors. Its prime factorisation is × × 1319. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1319, 2638, 3957, 5276, 7914, 11871, 15828 … 47484.
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How to work it out
- 1
47484 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47484 is composite. Its prime factorisation is
- 3
The divisors add up to 120120; without 47484 itself that is 72636, so 47484 is abundant (72636 is more than 47484). Euler's totient φ(47484) = 15816 numbers up to 47484 share no factor with it.
- 4
The digits of 47484 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47484 = 2^{2} \times 3^{2} \times 1319 \]47484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 120120 |
| Euler totient φ(n) | 15816 |
| Square | 2254730256 |
| Cube | 107063611475904 |
| Square root | 217.908238 (= 6√1319) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7484 × |
47484 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and eighty-four |
| Binary (base 2) | 1011100101111100 |
| Octal (base 8) | 134574 |
| Hexadecimal (base 16) | B97C |
| Base 3 | 2102010200 |
| As time | 47484 seconds = 13 h 11 min 24 s |
Is 47484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47484 ÷ 2 = 23742) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47484 ÷ 3 = 15828) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47484 ÷ 4 = 11871) | 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 (47484 ÷ 6 = 7914) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (47484 ÷ 9 = 5276) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47484 ÷ 12 = 3957) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47484 a prime number?
No. 47484 = × × 1319, so it is divisible by 2.
What are the factors of 47484?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1319, 2638, 3957, 5276, 7914, 11871, 15828, 23742, 47484.
What is 47484 in binary?
1011100101111100 (hexadecimal B97C, octal 134574).
What is the square root of 47484?
About 217.9082, exactly 6√1319.
Is 47484 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47484?
It is a composite number with 18 divisors.