The number 47392
47392 is a composite number with 12 divisors. Its prime factorisation is × 1481. Divisors (12): 1, 2, 4, 8, 16, 32, 1481, 2962, 5924, 11848, 23696, 47392.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47392 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47392 is composite. Its prime factorisation is
- 3
The divisors add up to 93366; without 47392 itself that is 45974, so 47392 is deficient (45974 is less than 47392). Euler's totient φ(47392) = 23680 numbers up to 47392 share no factor with it.
- 4
The digits of 47392 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47392 = 2^{5} \times 1481 \]47392 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 93366 |
| Euler totient φ(n) | 23680 |
| Square | 2246001664 |
| Cube | 106442510860288 |
| Square root | 217.697037 (= 4√2962) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.7392 × |
47392 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and ninety-two |
| Binary (base 2) | 1011100100100000 |
| Octal (base 8) | 134440 |
| Hexadecimal (base 16) | B920 |
| Base 3 | 2102000021 |
| As time | 47392 seconds = 13 h 9 min 52 s |
Is 47392 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47392 ÷ 2 = 23696) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47392 ÷ 4 = 11848) | 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 | No (remainder 4) | 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 (47392 ÷ 8 = 5924) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47392 a prime number?
No. 47392 = × 1481, so it is divisible by 2.
What are the factors of 47392?
1, 2, 4, 8, 16, 32, 1481, 2962, 5924, 11848, 23696, 47392.
What is 47392 in binary?
1011100100100000 (hexadecimal B920, octal 134440).
What is the square root of 47392?
About 217.6970, exactly 4√2962.
Is 47392 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 47392?
It is a composite number with 12 divisors.