The number 67752
67752 is a composite number with 24 divisors. Its prime factorisation is × × 941. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 941, 1882, 2823, 3764 … 67752.
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How to work it out
- 1
67752 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67752 is composite. Its prime factorisation is
- 3
The divisors add up to 183690; without 67752 itself that is 115938, so 67752 is abundant (115938 is more than 67752). Euler's totient φ(67752) = 22560 numbers up to 67752 share no factor with it.
- 4
The digits of 67752 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67752 = 2^{3} \times 3^{2} \times 941 \]67752 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 183690 |
| Euler totient φ(n) | 22560 |
| Square | 4590333504 |
| Cube | 311004275563008 |
| Square root | 260.292144 (= 6√1882) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 37 |
| Scientific notation | 6.7752 × |
67752 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and fifty-two |
| Binary (base 2) | 10000100010101000 |
| Octal (base 8) | 204250 |
| Hexadecimal (base 16) | 108A8 |
| Base 3 | 10102221100 |
| As time | 67752 seconds = 18 h 49 min 12 s |
Is 67752 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67752 ÷ 2 = 33876) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67752 ÷ 3 = 22584) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67752 ÷ 4 = 16938) | 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 | Yes (67752 ÷ 6 = 11292) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (67752 ÷ 8 = 8469) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67752 ÷ 9 = 7528) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67752 ÷ 12 = 5646) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67752 a prime number?
No. 67752 = × × 941, so it is divisible by 2.
What are the factors of 67752?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 941, 1882, 2823, 3764, 5646, 7528, 8469, 11292, 16938, 22584, 33876, 67752.
What is 67752 in binary?
10000100010101000 (hexadecimal 108A8, octal 204250).
What is the square root of 67752?
About 260.2921, exactly 6√1882.
Is 67752 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67752?
It is a composite number with 24 divisors.