The number 47504
47504 is a composite number with 10 divisors. Its prime factorisation is × 2969. Divisors (10): 1, 2, 4, 8, 16, 2969, 5938, 11876, 23752, 47504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47504 is composite. Its prime factorisation is
- 3
The divisors add up to 92070; without 47504 itself that is 44566, so 47504 is deficient (44566 is less than 47504). Euler's totient φ(47504) = 23744 numbers up to 47504 share no factor with it.
- 4
The digits of 47504 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47504 = 2^{4} \times 2969 \]47504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 92070 |
| Euler totient φ(n) | 23744 |
| Square | 2256630016 |
| Cube | 107198952280064 |
| Square root | 217.954124 (= 4√2969) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7504 × |
47504 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and four |
| Binary (base 2) | 1011100110010000 |
| Octal (base 8) | 134620 |
| Hexadecimal (base 16) | B990 |
| Base 3 | 2102011102 |
| As time | 47504 seconds = 13 h 11 min 44 s |
Is 47504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47504 ÷ 2 = 23752) | 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 (47504 ÷ 4 = 11876) | 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 | No (remainder 2) | 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 (47504 ÷ 8 = 5938) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 47504 a prime number?
No. 47504 = × 2969, so it is divisible by 2.
What are the factors of 47504?
1, 2, 4, 8, 16, 2969, 5938, 11876, 23752, 47504.
What is 47504 in binary?
1011100110010000 (hexadecimal B990, octal 134620).
What is the square root of 47504?
About 217.9541, exactly 4√2969.
Is 47504 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47504?
It is a composite number with 10 divisors.