The number 67125
67125 is a composite number with 16 divisors. Its prime factorisation is 3 × × 179. Divisors (16): 1, 3, 5, 15, 25, 75, 125, 179, 375, 537, 895, 2685, 4475, 13425, 22375, 67125.
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How to work it out
- 1
67125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67125 is composite. Its prime factorisation is
- 3
The divisors add up to 112320; without 67125 itself that is 45195, so 67125 is deficient (45195 is less than 67125). Euler's totient φ(67125) = 35600 numbers up to 67125 share no factor with it.
- 4
The digits of 67125 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67125 = 3 \times 5^{3} \times 179 \]67125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 112320 |
| Euler totient φ(n) | 35600 |
| Square | 4505765625 |
| Cube | 302449517578125 |
| Square root | 259.084928 (= 5√2685) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7125 × |
67125 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and twenty-five |
| Binary (base 2) | 10000011000110101 |
| Octal (base 8) | 203065 |
| Hexadecimal (base 16) | 10635 |
| Base 3 | 10102002010 |
| As time | 67125 seconds = 18 h 38 min 45 s |
Is 67125 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 (67125 ÷ 3 = 22375) | 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 (67125 ÷ 5 = 13425) | 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 | No (remainder 2) | 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 | No (remainder 3) | 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 3) | 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 67125 a prime number?
No. 67125 = 3 × × 179, so it is divisible by 3.
What are the factors of 67125?
1, 3, 5, 15, 25, 75, 125, 179, 375, 537, 895, 2685, 4475, 13425, 22375, 67125.
What is 67125 in binary?
10000011000110101 (hexadecimal 10635, octal 203065).
What is the square root of 67125?
About 259.0849, exactly 5√2685.
Is 67125 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 67125?
It is a composite number with 16 divisors.