The number 47552
47552 is a composite number with 14 divisors. Its prime factorisation is × 743. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 743, 1486, 2972, 5944, 11888, 23776, 47552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47552 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47552 is composite. Its prime factorisation is
- 3
The divisors add up to 94488; without 47552 itself that is 46936, so 47552 is deficient (46936 is less than 47552). Euler's totient φ(47552) = 23744 numbers up to 47552 share no factor with it.
- 4
The digits of 47552 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47552 = 2^{6} \times 743 \]47552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 94488 |
| Euler totient φ(n) | 23744 |
| Square | 2261192704 |
| Cube | 107524235460608 |
| Square root | 218.064211 (= 8√743) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7552 × |
47552 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and fifty-two |
| Binary (base 2) | 1011100111000000 |
| Octal (base 8) | 134700 |
| Hexadecimal (base 16) | B9C0 |
| Base 3 | 2102020012 |
| As time | 47552 seconds = 13 h 12 min 32 s |
Is 47552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47552 ÷ 2 = 23776) | 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 (47552 ÷ 4 = 11888) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (47552 ÷ 8 = 5944) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 47552 a prime number?
No. 47552 = × 743, so it is divisible by 2.
What are the factors of 47552?
1, 2, 4, 8, 16, 32, 64, 743, 1486, 2972, 5944, 11888, 23776, 47552.
What is 47552 in binary?
1011100111000000 (hexadecimal B9C0, octal 134700).
What is the square root of 47552?
About 218.0642, exactly 8√743.
Is 47552 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47552?
It is a composite number with 14 divisors.