The number 67875
67875 is a composite number with 16 divisors. Its prime factorisation is 3 × × 181. Divisors (16): 1, 3, 5, 15, 25, 75, 125, 181, 375, 543, 905, 2715, 4525, 13575, 22625, 67875.
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How to work it out
- 1
67875 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67875 is composite. Its prime factorisation is
- 3
The divisors add up to 113568; without 67875 itself that is 45693, so 67875 is deficient (45693 is less than 67875). Euler's totient φ(67875) = 36000 numbers up to 67875 share no factor with it.
- 4
The digits of 67875 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67875 = 3 \times 5^{3} \times 181 \]67875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 113568 |
| Euler totient φ(n) | 36000 |
| Square | 4607015625 |
| Cube | 312701185546875 |
| Square root | 260.528309 (= 5√2715) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7875 × |
67875 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and seventy-five |
| Binary (base 2) | 10000100100100011 |
| Octal (base 8) | 204443 |
| Hexadecimal (base 16) | 10923 |
| Base 3 | 10110002220 |
| As time | 67875 seconds = 18 h 51 min 15 s |
Is 67875 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 (67875 ÷ 3 = 22625) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67875 ÷ 5 = 13575) | 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 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67875 a prime number?
No. 67875 = 3 × × 181, so it is divisible by 3.
What are the factors of 67875?
1, 3, 5, 15, 25, 75, 125, 181, 375, 543, 905, 2715, 4525, 13575, 22625, 67875.
What is 67875 in binary?
10000100100100011 (hexadecimal 10923, octal 204443).
What is the square root of 67875?
About 260.5283, exactly 5√2715.
Is 67875 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 67875?
It is a composite number with 16 divisors.