The number 47368
47368 is a composite number with 16 divisors. Its prime factorisation is × 31 × 191. Divisors (16): 1, 2, 4, 8, 31, 62, 124, 191, 248, 382, 764, 1528, 5921, 11842, 23684, 47368.
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How to work it out
- 1
47368 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47368 is composite. Its prime factorisation is
- 3
The divisors add up to 92160; without 47368 itself that is 44792, so 47368 is deficient (44792 is less than 47368). Euler's totient φ(47368) = 22800 numbers up to 47368 share no factor with it.
- 4
The digits of 47368 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47368 = 2^{3} \times 31 \times 191 \]47368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 92160 |
| Euler totient φ(n) | 22800 |
| Square | 2243727424 |
| Cube | 106280880620032 |
| Square root | 217.641908 (= 2√11842) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.7368 × |
47368 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and sixty-eight |
| Binary (base 2) | 1011100100001000 |
| Octal (base 8) | 134410 |
| Hexadecimal (base 16) | B908 |
| Base 3 | 2101222101 |
| As time | 47368 seconds = 13 h 9 min 28 s |
Is 47368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47368 ÷ 2 = 23684) | 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 (47368 ÷ 4 = 11842) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 (47368 ÷ 8 = 5921) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 47368 a prime number?
No. 47368 = × 31 × 191, so it is divisible by 2.
What are the factors of 47368?
1, 2, 4, 8, 31, 62, 124, 191, 248, 382, 764, 1528, 5921, 11842, 23684, 47368.
What is 47368 in binary?
1011100100001000 (hexadecimal B908, octal 134410).
What is the square root of 47368?
About 217.6419, exactly 2√11842.
Is 47368 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 47368?
It is a composite number with 16 divisors.