The number 47364
47364 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3947. Divisors (12): 1, 2, 3, 4, 6, 12, 3947, 7894, 11841, 15788, 23682, 47364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47364 is composite. Its prime factorisation is
- 3
The divisors add up to 110544; without 47364 itself that is 63180, so 47364 is abundant (63180 is more than 47364). Euler's totient φ(47364) = 15784 numbers up to 47364 share no factor with it.
- 4
The digits of 47364 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 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47364 = 2^{2} \times 3 \times 3947 \]47364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 110544 |
| Euler totient φ(n) | 15784 |
| Square | 2243348496 |
| Cube | 106253958164544 |
| Square root | 217.632718 (= 2√11841) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.7364 × |
47364 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and sixty-four |
| Binary (base 2) | 1011100100000100 |
| Octal (base 8) | 134404 |
| Hexadecimal (base 16) | B904 |
| Base 3 | 2101222020 |
| As time | 47364 seconds = 13 h 9 min 24 s |
Is 47364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47364 ÷ 2 = 23682) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47364 ÷ 3 = 15788) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47364 ÷ 4 = 11841) | 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 (47364 ÷ 6 = 7894) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47364 ÷ 12 = 3947) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47364 a prime number?
No. 47364 = × 3 × 3947, so it is divisible by 2.
What are the factors of 47364?
1, 2, 3, 4, 6, 12, 3947, 7894, 11841, 15788, 23682, 47364.
What is 47364 in binary?
1011100100000100 (hexadecimal B904, octal 134404).
What is the square root of 47364?
About 217.6327, exactly 2√11841.
Is 47364 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47364?
It is a composite number with 12 divisors.