The number 47316
47316 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3943. Divisors (12): 1, 2, 3, 4, 6, 12, 3943, 7886, 11829, 15772, 23658, 47316.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47316 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47316 is composite. Its prime factorisation is
- 3
The divisors add up to 110432; without 47316 itself that is 63116, so 47316 is abundant (63116 is more than 47316). Euler's totient φ(47316) = 15768 numbers up to 47316 share no factor with it.
- 4
The digits of 47316 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47316 = 2^{2} \times 3 \times 3943 \]47316 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 110432 |
| Euler totient φ(n) | 15768 |
| Square | 2238803856 |
| Cube | 105931243250496 |
| Square root | 217.522413 (= 2√11829) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 26 |
| Scientific notation | 4.7316 × |
47316 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and sixteen |
| Binary (base 2) | 1011100011010100 |
| Octal (base 8) | 134324 |
| Hexadecimal (base 16) | B8D4 |
| Base 3 | 2101220110 |
| As time | 47316 seconds = 13 h 8 min 36 s |
Is 47316 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47316 ÷ 2 = 23658) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47316 ÷ 3 = 15772) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47316 ÷ 4 = 11829) | 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 | Yes (47316 ÷ 6 = 7886) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 (47316 ÷ 12 = 3943) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47316 a prime number?
No. 47316 = × 3 × 3943, so it is divisible by 2.
What are the factors of 47316?
1, 2, 3, 4, 6, 12, 3943, 7886, 11829, 15772, 23658, 47316.
What is 47316 in binary?
1011100011010100 (hexadecimal B8D4, octal 134324).
What is the square root of 47316?
About 217.5224, exactly 2√11829.
Is 47316 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47316?
It is a composite number with 12 divisors.