The number 47580
47580 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 13 × 61. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60 … 47580.
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How to work it out
- 1
47580 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47580 is composite. Its prime factorisation is
- 3
The divisors add up to 145824; without 47580 itself that is 98244, so 47580 is abundant (98244 is more than 47580). Euler's totient φ(47580) = 11520 numbers up to 47580 share no factor with it.
- 4
The digits of 47580 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47580 = 2^{2} \times 3 \times 5 \times 13 \times 61 \]47580 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 145824 |
| Euler totient φ(n) | 11520 |
| Square | 2263856400 |
| Cube | 107714287512000 |
| Square root | 218.128403 (= 2√11895) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.758 × |
47580 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and eighty |
| Binary (base 2) | 1011100111011100 |
| Octal (base 8) | 134734 |
| Hexadecimal (base 16) | B9DC |
| Base 3 | 2102021020 |
| As time | 47580 seconds = 13 h 13 min 0 s |
Is 47580 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47580 ÷ 2 = 23790) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47580 ÷ 3 = 15860) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47580 ÷ 4 = 11895) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47580 ÷ 5 = 9516) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47580 ÷ 6 = 7930) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (47580 ÷ 10 = 4758) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47580 ÷ 12 = 3965) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47580 a prime number?
No. 47580 = × 3 × 5 × 13 × 61, so it is divisible by 2.
What are the factors of 47580?
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 61, 65, 78, 122, 130, 156, 183, 195, 244, 260, 305, 366, 390, 610, 732, 780, 793, 915, 1220, 1586, 1830, 2379, 3172, 3660, 3965, 4758, 7930, 9516, 11895, 15860, 23790, 47580.
What is 47580 in binary?
1011100111011100 (hexadecimal B9DC, octal 134734).
What is the square root of 47580?
About 218.1284, exactly 2√11895.
Is 47580 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47580?
It is a composite number with 48 divisors.