The number 47236
47236 is a composite number with 18 divisors. Its prime factorisation is × × 241. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 98, 196, 241, 482, 964, 1687, 3374, 6748, 11809 … 47236.
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How to work it out
- 1
47236 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47236 is composite. Its prime factorisation is
- 3
The divisors add up to 96558; without 47236 itself that is 49322, so 47236 is abundant (49322 is more than 47236). Euler's totient φ(47236) = 20160 numbers up to 47236 share no factor with it.
- 4
The digits of 47236 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47236 = 2^{2} \times 7^{2} \times 241 \]47236 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 96558 |
| Euler totient φ(n) | 20160 |
| Square | 2231239696 |
| Cube | 105394838280256 |
| Square root | 217.338446 (= 14√241) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.7236 × |
47236 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and thirty-six |
| Binary (base 2) | 1011100010000100 |
| Octal (base 8) | 134204 |
| Hexadecimal (base 16) | B884 |
| Base 3 | 2101210111 |
| As time | 47236 seconds = 13 h 7 min 16 s |
Is 47236 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47236 ÷ 2 = 23618) | 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 (47236 ÷ 4 = 11809) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47236 ÷ 7 = 6748) | 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 4) | 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 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 47236 a prime number?
No. 47236 = × × 241, so it is divisible by 2.
What are the factors of 47236?
1, 2, 4, 7, 14, 28, 49, 98, 196, 241, 482, 964, 1687, 3374, 6748, 11809, 23618, 47236.
What is 47236 in binary?
1011100010000100 (hexadecimal B884, octal 134204).
What is the square root of 47236?
About 217.3384, exactly 14√241.
Is 47236 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 47236?
It is a composite number with 18 divisors.