The number 47148
47148 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3929. Divisors (12): 1, 2, 3, 4, 6, 12, 3929, 7858, 11787, 15716, 23574, 47148.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47148 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47148 is composite. Its prime factorisation is
- 3
The divisors add up to 110040; without 47148 itself that is 62892, so 47148 is abundant (62892 is more than 47148). Euler's totient φ(47148) = 15712 numbers up to 47148 share no factor with it.
- 4
The digits of 47148 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47148 = 2^{2} \times 3 \times 3929 \]47148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 110040 |
| Euler totient φ(n) | 15712 |
| Square | 2222933904 |
| Cube | 104806887705792 |
| Square root | 217.135902 (= 2√11787) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7148 × |
47148 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and forty-eight |
| Binary (base 2) | 1011100000101100 |
| Octal (base 8) | 134054 |
| Hexadecimal (base 16) | B82C |
| Base 3 | 2101200020 |
| As time | 47148 seconds = 13 h 5 min 48 s |
Is 47148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47148 ÷ 2 = 23574) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47148 ÷ 3 = 15716) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47148 ÷ 4 = 11787) | 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 | Yes (47148 ÷ 6 = 7858) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 | Yes (47148 ÷ 12 = 3929) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47148 a prime number?
No. 47148 = × 3 × 3929, so it is divisible by 2.
What are the factors of 47148?
1, 2, 3, 4, 6, 12, 3929, 7858, 11787, 15716, 23574, 47148.
What is 47148 in binary?
1011100000101100 (hexadecimal B82C, octal 134054).
What is the square root of 47148?
About 217.1359, exactly 2√11787.
Is 47148 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47148?
It is a composite number with 12 divisors.