The number 47408
47408 is a composite number with 10 divisors. Its prime factorisation is × 2963. Divisors (10): 1, 2, 4, 8, 16, 2963, 5926, 11852, 23704, 47408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47408 is composite. Its prime factorisation is
- 3
The divisors add up to 91884; without 47408 itself that is 44476, so 47408 is deficient (44476 is less than 47408). Euler's totient φ(47408) = 23696 numbers up to 47408 share no factor with it.
- 4
The digits of 47408 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47408 = 2^{4} \times 2963 \]47408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 91884 |
| Euler totient φ(n) | 23696 |
| Square | 2247518464 |
| Cube | 106550355341312 |
| Square root | 217.733782 (= 4√2963) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.7408 × |
47408 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and eight |
| Binary (base 2) | 1011100100110000 |
| Octal (base 8) | 134460 |
| Hexadecimal (base 16) | B930 |
| Base 3 | 2102000212 |
| As time | 47408 seconds = 13 h 10 min 8 s |
Is 47408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47408 ÷ 2 = 23704) | 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 (47408 ÷ 4 = 11852) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (47408 ÷ 8 = 5926) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 9) | 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 47408 a prime number?
No. 47408 = × 2963, so it is divisible by 2.
What are the factors of 47408?
1, 2, 4, 8, 16, 2963, 5926, 11852, 23704, 47408.
What is 47408 in binary?
1011100100110000 (hexadecimal B930, octal 134460).
What is the square root of 47408?
About 217.7338, exactly 4√2963.
Is 47408 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47408?
It is a composite number with 10 divisors.