The number 47752
47752 is a composite number with 16 divisors. Its prime factorisation is × 47 × 127. Divisors (16): 1, 2, 4, 8, 47, 94, 127, 188, 254, 376, 508, 1016, 5969, 11938, 23876, 47752.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47752 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47752 is composite. Its prime factorisation is
- 3
The divisors add up to 92160; without 47752 itself that is 44408, so 47752 is deficient (44408 is less than 47752). Euler's totient φ(47752) = 23184 numbers up to 47752 share no factor with it.
- 4
The digits of 47752 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47752 = 2^{3} \times 47 \times 127 \]47752 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 92160 |
| Euler totient φ(n) | 23184 |
| Square | 2280253504 |
| Cube | 108886665323008 |
| Square root | 218.522310 (= 2√11938) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.7752 × |
47752 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and fifty-two |
| Binary (base 2) | 1011101010001000 |
| Octal (base 8) | 135210 |
| Hexadecimal (base 16) | BA88 |
| Base 3 | 2102111121 |
| As time | 47752 seconds = 13 h 15 min 52 s |
Is 47752 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47752 ÷ 2 = 23876) | 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 (47752 ÷ 4 = 11938) | 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 5) | 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 (47752 ÷ 8 = 5969) | 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 1) | 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 47752 a prime number?
No. 47752 = × 47 × 127, so it is divisible by 2.
What are the factors of 47752?
1, 2, 4, 8, 47, 94, 127, 188, 254, 376, 508, 1016, 5969, 11938, 23876, 47752.
What is 47752 in binary?
1011101010001000 (hexadecimal BA88, octal 135210).
What is the square root of 47752?
About 218.5223, exactly 2√11938.
Is 47752 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 47752?
It is a composite number with 16 divisors.