The number 47396
47396 is a composite number with 18 divisors. Its prime factorisation is × × 41. Divisors (18): 1, 2, 4, 17, 34, 41, 68, 82, 164, 289, 578, 697, 1156, 1394, 2788, 11849 … 47396.
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How to work it out
- 1
47396 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47396 is composite. Its prime factorisation is
- 3
The divisors add up to 90258; without 47396 itself that is 42862, so 47396 is deficient (42862 is less than 47396). Euler's totient φ(47396) = 21760 numbers up to 47396 share no factor with it.
- 4
The digits of 47396 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47396 = 2^{2} \times 17^{2} \times 41 \]47396 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 90258 |
| Euler totient φ(n) | 21760 |
| Square | 2246380816 |
| Cube | 106469465155136 |
| Square root | 217.706224 (= 34√41) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7396 × |
47396 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and ninety-six |
| Binary (base 2) | 1011100100100100 |
| Octal (base 8) | 134444 |
| Hexadecimal (base 16) | B924 |
| Base 3 | 2102000102 |
| As time | 47396 seconds = 13 h 9 min 56 s |
Is 47396 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47396 ÷ 2 = 23698) | 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 (47396 ÷ 4 = 11849) | 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 | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | 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 47396 a prime number?
No. 47396 = × × 41, so it is divisible by 2.
What are the factors of 47396?
1, 2, 4, 17, 34, 41, 68, 82, 164, 289, 578, 697, 1156, 1394, 2788, 11849, 23698, 47396.
What is 47396 in binary?
1011100100100100 (hexadecimal B924, octal 134444).
What is the square root of 47396?
About 217.7062, exactly 34√41.
Is 47396 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 47396?
It is a composite number with 18 divisors.