The number 67725
67725 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 43. Divisors (36): 1, 3, 5, 7, 9, 15, 21, 25, 35, 43, 45, 63, 75, 105, 129, 175 … 67725.
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How to work it out
- 1
67725 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67725 is composite. Its prime factorisation is
- 3
The divisors add up to 141856; without 67725 itself that is 74131, so 67725 is abundant (74131 is more than 67725). Euler's totient φ(67725) = 30240 numbers up to 67725 share no factor with it.
- 4
The digits of 67725 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 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67725 = 3^{2} \times 5^{2} \times 7 \times 43 \]67725 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 141856 |
| Euler totient φ(n) | 30240 |
| Square | 4586675625 |
| Cube | 310632606703125 |
| Square root | 260.240274 (= 15√301) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7725 × |
67725 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and twenty-five |
| Binary (base 2) | 10000100010001101 |
| Octal (base 8) | 204215 |
| Hexadecimal (base 16) | 1088D |
| Base 3 | 10102220100 |
| As time | 67725 seconds = 18 h 48 min 45 s |
Is 67725 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67725 ÷ 3 = 22575) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67725 ÷ 5 = 13545) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67725 ÷ 7 = 9675) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67725 ÷ 9 = 7525) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67725 a prime number?
No. 67725 = × × 7 × 43, so it is divisible by 3.
What are the factors of 67725?
1, 3, 5, 7, 9, 15, 21, 25, 35, 43, 45, 63, 75, 105, 129, 175, 215, 225, 301, 315, 387, 525, 645, 903, 1075, 1505, 1575, 1935, 2709, 3225, 4515, 7525, 9675, 13545, 22575, 67725.
What is 67725 in binary?
10000100010001101 (hexadecimal 1088D, octal 204215).
What is the square root of 67725?
About 260.2403, exactly 15√301.
Is 67725 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67725?
It is a composite number with 36 divisors.