The number 47244
47244 is a composite number with 24 divisors. Its prime factorisation is × 3 × 31 × 127. Divisors (24): 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 127, 186, 254, 372, 381, 508 … 47244.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47244 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47244 is composite. Its prime factorisation is
- 3
The divisors add up to 114688; without 47244 itself that is 67444, so 47244 is abundant (67444 is more than 47244). Euler's totient φ(47244) = 15120 numbers up to 47244 share no factor with it.
- 4
The digits of 47244 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47244 = 2^{2} \times 3 \times 31 \times 127 \]47244 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 114688 |
| Euler totient φ(n) | 15120 |
| Square | 2231995536 |
| Cube | 105448397102784 |
| Square root | 217.356849 (= 2√11811) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7244 × |
47244 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and forty-four |
| Binary (base 2) | 1011100010001100 |
| Octal (base 8) | 134214 |
| Hexadecimal (base 16) | B88C |
| Base 3 | 2101210210 |
| As time | 47244 seconds = 13 h 7 min 24 s |
Is 47244 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47244 ÷ 2 = 23622) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47244 ÷ 3 = 15748) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47244 ÷ 4 = 11811) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47244 ÷ 6 = 7874) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 (47244 ÷ 12 = 3937) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47244 a prime number?
No. 47244 = × 3 × 31 × 127, so it is divisible by 2.
What are the factors of 47244?
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 127, 186, 254, 372, 381, 508, 762, 1524, 3937, 7874, 11811, 15748, 23622, 47244.
What is 47244 in binary?
1011100010001100 (hexadecimal B88C, octal 134214).
What is the square root of 47244?
About 217.3568, exactly 2√11811.
Is 47244 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47244?
It is a composite number with 24 divisors.