The number 42752
42752 is a composite number with 18 divisors. Its prime factorisation is × 167. Divisors (18): 1, 2, 4, 8, 16, 32, 64, 128, 167, 256, 334, 668, 1336, 2672, 5344, 10688 … 42752.
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How to work it out
- 1
42752 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42752 is composite. Its prime factorisation is
- 3
The divisors add up to 85848; without 42752 itself that is 43096, so 42752 is abundant (43096 is more than 42752). Euler's totient φ(42752) = 21248 numbers up to 42752 share no factor with it.
- 4
The digits of 42752 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42752 = 2^{8} \times 167 \]42752 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 85848 |
| Euler totient φ(n) | 21248 |
| Square | 1827733504 |
| Cube | 78139262763008 |
| Square root | 206.765568 (= 16√167) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.2752 × |
42752 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and fifty-two |
| Binary (base 2) | 1010011100000000 |
| Octal (base 8) | 123400 |
| Hexadecimal (base 16) | A700 |
| Base 3 | 2011122102 |
| As time | 42752 seconds = 11 h 52 min 32 s |
Is 42752 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42752 ÷ 2 = 21376) | 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 (42752 ÷ 4 = 10688) | 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 3) | 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 (42752 ÷ 8 = 5344) | 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 2) | 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 42752 a prime number?
No. 42752 = × 167, so it is divisible by 2.
What are the factors of 42752?
1, 2, 4, 8, 16, 32, 64, 128, 167, 256, 334, 668, 1336, 2672, 5344, 10688, 21376, 42752.
What is 42752 in binary?
1010011100000000 (hexadecimal A700, octal 123400).
What is the square root of 42752?
About 206.7656, exactly 16√167.
Is 42752 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42752?
It is a composite number with 18 divisors.