The number 67275
67275 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 23. Divisors (36): 1, 3, 5, 9, 13, 15, 23, 25, 39, 45, 65, 69, 75, 115, 117, 195 … 67275.
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How to work it out
- 1
67275 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67275 is composite. Its prime factorisation is
- 3
The divisors add up to 135408; without 67275 itself that is 68133, so 67275 is abundant (68133 is more than 67275). Euler's totient φ(67275) = 31680 numbers up to 67275 share no factor with it.
- 4
The digits of 67275 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67275 = 3^{2} \times 5^{2} \times 13 \times 23 \]67275 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 135408 |
| Euler totient φ(n) | 31680 |
| Square | 4525925625 |
| Cube | 304481646421875 |
| Square root | 259.374247 (= 15√299) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7275 × |
67275 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and seventy-five |
| Binary (base 2) | 10000011011001011 |
| Octal (base 8) | 203313 |
| Hexadecimal (base 16) | 106CB |
| Base 3 | 10102021200 |
| As time | 67275 seconds = 18 h 41 min 15 s |
Is 67275 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 (67275 ÷ 3 = 22425) | 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 (67275 ÷ 5 = 13455) | 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 5) | 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 | Yes (67275 ÷ 9 = 7475) | 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 10) | 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 67275 a prime number?
No. 67275 = × × 13 × 23, so it is divisible by 3.
What are the factors of 67275?
1, 3, 5, 9, 13, 15, 23, 25, 39, 45, 65, 69, 75, 115, 117, 195, 207, 225, 299, 325, 345, 575, 585, 897, 975, 1035, 1495, 1725, 2691, 2925, 4485, 5175, 7475, 13455, 22425, 67275.
What is 67275 in binary?
10000011011001011 (hexadecimal 106CB, octal 203313).
What is the square root of 67275?
About 259.3742, exactly 15√299.
Is 67275 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67275?
It is a composite number with 36 divisors.