The number 47212
47212 is a composite number with 24 divisors. Its prime factorisation is × 11 × 29 × 37. Divisors (24): 1, 2, 4, 11, 22, 29, 37, 44, 58, 74, 116, 148, 319, 407, 638, 814 … 47212.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47212 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47212 is composite. Its prime factorisation is
- 3
The divisors add up to 95760; without 47212 itself that is 48548, so 47212 is abundant (48548 is more than 47212). Euler's totient φ(47212) = 20160 numbers up to 47212 share no factor with it.
- 4
The digits of 47212 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47212 = 2^{2} \times 11 \times 29 \times 37 \]47212 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 95760 |
| Euler totient φ(n) | 20160 |
| Square | 2228972944 |
| Cube | 105234270632128 |
| Square root | 217.283225 (= 2√11803) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7212 × |
47212 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and twelve |
| Binary (base 2) | 1011100001101100 |
| Octal (base 8) | 134154 |
| Hexadecimal (base 16) | B86C |
| Base 3 | 2101202121 |
| As time | 47212 seconds = 13 h 6 min 52 s |
Is 47212 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47212 ÷ 2 = 23606) | 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 (47212 ÷ 4 = 11803) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 4) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47212 ÷ 11 = 4292) | 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 47212 a prime number?
No. 47212 = × 11 × 29 × 37, so it is divisible by 2.
What are the factors of 47212?
1, 2, 4, 11, 22, 29, 37, 44, 58, 74, 116, 148, 319, 407, 638, 814, 1073, 1276, 1628, 2146, 4292, 11803, 23606, 47212.
What is 47212 in binary?
1011100001101100 (hexadecimal B86C, octal 134154).
What is the square root of 47212?
About 217.2832, exactly 2√11803.
Is 47212 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 47212?
It is a composite number with 24 divisors.