The number 47480
47480 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1187. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1187, 2374, 4748, 5935, 9496, 11870, 23740, 47480.
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How to work it out
- 1
47480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47480 is composite. Its prime factorisation is
- 3
The divisors add up to 106920; without 47480 itself that is 59440, so 47480 is abundant (59440 is more than 47480). Euler's totient φ(47480) = 18976 numbers up to 47480 share no factor with it.
- 4
The digits of 47480 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47480 = 2^{3} \times 5 \times 1187 \]47480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 106920 |
| Euler totient φ(n) | 18976 |
| Square | 2254350400 |
| Cube | 107036556992000 |
| Square root | 217.899059 (= 2√11870) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.748 × |
47480 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and eighty |
| Binary (base 2) | 1011100101111000 |
| Octal (base 8) | 134570 |
| Hexadecimal (base 16) | B978 |
| Base 3 | 2102010112 |
| As time | 47480 seconds = 13 h 11 min 20 s |
Is 47480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47480 ÷ 2 = 23740) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47480 ÷ 4 = 11870) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47480 ÷ 5 = 9496) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (47480 ÷ 8 = 5935) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47480 ÷ 10 = 4748) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47480 a prime number?
No. 47480 = × 5 × 1187, so it is divisible by 2.
What are the factors of 47480?
1, 2, 4, 5, 8, 10, 20, 40, 1187, 2374, 4748, 5935, 9496, 11870, 23740, 47480.
What is 47480 in binary?
1011100101111000 (hexadecimal B978, octal 134570).
What is the square root of 47480?
About 217.8991, exactly 2√11870.
Is 47480 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47480?
It is a composite number with 16 divisors.