The number 47112
47112 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 151. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 151, 156 … 47112.
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How to work it out
- 1
47112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47112 is composite. Its prime factorisation is
- 3
The divisors add up to 127680; without 47112 itself that is 80568, so 47112 is abundant (80568 is more than 47112). Euler's totient φ(47112) = 14400 numbers up to 47112 share no factor with it.
- 4
The digits of 47112 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47112 = 2^{3} \times 3 \times 13 \times 151 \]47112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 127680 |
| Euler totient φ(n) | 14400 |
| Square | 2219540544 |
| Cube | 104566994108928 |
| Square root | 217.052989 (= 2√11778) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7112 × |
47112 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and twelve |
| Binary (base 2) | 1011100000001000 |
| Octal (base 8) | 134010 |
| Hexadecimal (base 16) | B808 |
| Base 3 | 2101121220 |
| As time | 47112 seconds = 13 h 5 min 12 s |
Is 47112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47112 ÷ 2 = 23556) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47112 ÷ 3 = 15704) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47112 ÷ 4 = 11778) | 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 | Yes (47112 ÷ 6 = 7852) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (47112 ÷ 8 = 5889) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47112 ÷ 12 = 3926) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47112 a prime number?
No. 47112 = × 3 × 13 × 151, so it is divisible by 2.
What are the factors of 47112?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 151, 156, 302, 312, 453, 604, 906, 1208, 1812, 1963, 3624, 3926, 5889, 7852, 11778, 15704, 23556, 47112.
What is 47112 in binary?
1011100000001000 (hexadecimal B808, octal 134010).
What is the square root of 47112?
About 217.0530, exactly 2√11778.
Is 47112 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 47112?
It is a composite number with 32 divisors.