The number 47312
47312 is a composite number with 10 divisors. Its prime factorisation is × 2957. Divisors (10): 1, 2, 4, 8, 16, 2957, 5914, 11828, 23656, 47312.
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How to work it out
- 1
What is special about 47312: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47312 is composite. Its prime factorisation is
- 3
The divisors add up to 91698; without 47312 itself that is 44386, so 47312 is deficient (44386 is less than 47312). Euler's totient φ(47312) = 23648 numbers up to 47312 share no factor with it.
- 4
The digits of 47312 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47312 = 2^{4} \times 2957 \]47312 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 91698 |
| Euler totient φ(n) | 23648 |
| Square | 2238425344 |
| Cube | 105904379875328 |
| Square root | 217.513218 (= 4√2957) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 26 |
| Scientific notation | 4.7312 × |
47312 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and twelve |
| Binary (base 2) | 1011100011010000 |
| Octal (base 8) | 134320 |
| Hexadecimal (base 16) | B8D0 |
| Base 3 | 2101220022 |
| As time | 47312 seconds = 13 h 8 min 32 s |
Is 47312 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47312 ÷ 2 = 23656) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47312 ÷ 4 = 11828) | 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 2) | 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 (47312 ÷ 8 = 5914) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47312 a prime number?
No. 47312 = × 2957, so it is divisible by 2.
What are the factors of 47312?
1, 2, 4, 8, 16, 2957, 5914, 11828, 23656, 47312.
What is 47312 in binary?
1011100011010000 (hexadecimal B8D0, octal 134320).
What is the square root of 47312?
About 217.5132, exactly 4√2957.
Is 47312 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 47312?
47312 is a happy number: repeatedly adding the squares of its digits reaches 1.