The number 47388
47388 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 359. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 359, 718, 1077, 1436 … 47388.
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How to work it out
- 1
47388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47388 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 47388 itself that is 73572, so 47388 is abundant (73572 is more than 47388). Euler's totient φ(47388) = 14320 numbers up to 47388 share no factor with it.
- 4
The digits of 47388 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47388 = 2^{2} \times 3 \times 11 \times 359 \]47388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 14320 |
| Square | 2245622544 |
| Cube | 106415561115072 |
| Square root | 217.687850 (= 2√11847) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.7388 × |
47388 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and eighty-eight |
| Binary (base 2) | 1011100100011100 |
| Octal (base 8) | 134434 |
| Hexadecimal (base 16) | B91C |
| Base 3 | 2102000010 |
| As time | 47388 seconds = 13 h 9 min 48 s |
Is 47388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47388 ÷ 2 = 23694) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47388 ÷ 3 = 15796) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47388 ÷ 4 = 11847) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47388 ÷ 6 = 7898) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47388 ÷ 11 = 4308) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47388 ÷ 12 = 3949) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47388 a prime number?
No. 47388 = × 3 × 11 × 359, so it is divisible by 2.
What are the factors of 47388?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 359, 718, 1077, 1436, 2154, 3949, 4308, 7898, 11847, 15796, 23694, 47388.
What is 47388 in binary?
1011100100011100 (hexadecimal B91C, octal 134434).
What is the square root of 47388?
About 217.6878, exactly 2√11847.
Is 47388 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 47388?
It is a composite number with 24 divisors.