The number 47796
47796 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 569. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 569, 1138, 1707, 2276 … 47796.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47796 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47796 is composite. Its prime factorisation is
- 3
The divisors add up to 127680; without 47796 itself that is 79884, so 47796 is abundant (79884 is more than 47796). Euler's totient φ(47796) = 13632 numbers up to 47796 share no factor with it.
- 4
The digits of 47796 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47796 = 2^{2} \times 3 \times 7 \times 569 \]47796 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 127680 |
| Euler totient φ(n) | 13632 |
| Square | 2284457616 |
| Cube | 109187936214336 |
| Square root | 218.622963 (= 2√11949) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7796 × |
47796 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and ninety-six |
| Binary (base 2) | 1011101010110100 |
| Octal (base 8) | 135264 |
| Hexadecimal (base 16) | BAB4 |
| Base 3 | 2102120020 |
| As time | 47796 seconds = 13 h 16 min 36 s |
Is 47796 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47796 ÷ 2 = 23898) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47796 ÷ 3 = 15932) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47796 ÷ 4 = 11949) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47796 ÷ 6 = 7966) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47796 ÷ 7 = 6828) | 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 6) | 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 | Yes (47796 ÷ 12 = 3983) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47796 a prime number?
No. 47796 = × 3 × 7 × 569, so it is divisible by 2.
What are the factors of 47796?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 569, 1138, 1707, 2276, 3414, 3983, 6828, 7966, 11949, 15932, 23898, 47796.
What is 47796 in binary?
1011101010110100 (hexadecimal BAB4, octal 135264).
What is the square root of 47796?
About 218.6230, exactly 2√11949.
Is 47796 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 47796?
It is a composite number with 24 divisors.