The number 47380
47380 is a composite number with 24 divisors. Its prime factorisation is × 5 × 23 × 103. Divisors (24): 1, 2, 4, 5, 10, 20, 23, 46, 92, 103, 115, 206, 230, 412, 460, 515 … 47380.
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How to work it out
- 1
47380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47380 is composite. Its prime factorisation is
- 3
The divisors add up to 104832; without 47380 itself that is 57452, so 47380 is abundant (57452 is more than 47380). Euler's totient φ(47380) = 17952 numbers up to 47380 share no factor with it.
- 4
The digits of 47380 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47380 = 2^{2} \times 5 \times 23 \times 103 \]47380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 104832 |
| Euler totient φ(n) | 17952 |
| Square | 2244864400 |
| Cube | 106361675272000 |
| Square root | 217.669474 (= 2√11845) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.738 × |
47380 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and eighty |
| Binary (base 2) | 1011100100010100 |
| Octal (base 8) | 134424 |
| Hexadecimal (base 16) | B914 |
| Base 3 | 2101222211 |
| As time | 47380 seconds = 13 h 9 min 40 s |
Is 47380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47380 ÷ 2 = 23690) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47380 ÷ 4 = 11845) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47380 ÷ 5 = 9476) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47380 ÷ 10 = 4738) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47380 a prime number?
No. 47380 = × 5 × 23 × 103, so it is divisible by 2.
What are the factors of 47380?
1, 2, 4, 5, 10, 20, 23, 46, 92, 103, 115, 206, 230, 412, 460, 515, 1030, 2060, 2369, 4738, 9476, 11845, 23690, 47380.
What is 47380 in binary?
1011100100010100 (hexadecimal B914, octal 134424).
What is the square root of 47380?
About 217.6695, exactly 2√11845.
Is 47380 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 47380?
It is a composite number with 24 divisors.