The number 47481
47481 is a composite number with 24 divisors. Its prime factorisation is 3 × × 17 × 19. Divisors (24): 1, 3, 7, 17, 19, 21, 49, 51, 57, 119, 133, 147, 323, 357, 399, 833 … 47481.
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How to work it out
- 1
47481 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47481 is composite. Its prime factorisation is
- 3
The divisors add up to 82080; without 47481 itself that is 34599, so 47481 is deficient (34599 is less than 47481). Euler's totient φ(47481) = 24192 numbers up to 47481 share no factor with it.
- 4
The digits of 47481 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47481 = 3 \times 7^{2} \times 17 \times 19 \]47481 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 82080 |
| Euler totient φ(n) | 24192 |
| Square | 2254445361 |
| Cube | 107043320185641 |
| Square root | 217.901354 (= 7√969) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.7481 × |
47481 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and eighty-one |
| Binary (base 2) | 1011100101111001 |
| Octal (base 8) | 134571 |
| Hexadecimal (base 16) | B979 |
| Base 3 | 2102010120 |
| As time | 47481 seconds = 13 h 11 min 21 s |
Is 47481 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47481 ÷ 3 = 15827) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47481 ÷ 7 = 6783) | 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 1) | 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 1) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47481 a prime number?
No. 47481 = 3 × × 17 × 19, so it is divisible by 3.
What are the factors of 47481?
1, 3, 7, 17, 19, 21, 49, 51, 57, 119, 133, 147, 323, 357, 399, 833, 931, 969, 2261, 2499, 2793, 6783, 15827, 47481.
What is 47481 in binary?
1011100101111001 (hexadecimal B979, octal 134571).
What is the square root of 47481?
About 217.9014, exactly 7√969.
Is 47481 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47481?
It is a composite number with 24 divisors.