The number 27375
27375 is a composite number with 16 divisors. Its prime factorisation is 3 × × 73. Divisors (16): 1, 3, 5, 15, 25, 73, 75, 125, 219, 365, 375, 1095, 1825, 5475, 9125, 27375.
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How to work it out
- 1
27375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27375 is composite. Its prime factorisation is
- 3
The divisors add up to 46176; without 27375 itself that is 18801, so 27375 is deficient (18801 is less than 27375). Euler's totient φ(27375) = 14400 numbers up to 27375 share no factor with it.
- 4
The digits of 27375 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27375 = 3 \times 5^{3} \times 73 \]27375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 46176 |
| Euler totient φ(n) | 14400 |
| Square | 749390625 |
| Cube | 20514568359375 |
| Square root | 165.453921 (= 5√1095) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7375 × |
27375 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and seventy-five |
| Binary (base 2) | 110101011101111 |
| Octal (base 8) | 65357 |
| Hexadecimal (base 16) | 6AEF |
| Base 3 | 1101112220 |
| As time | 27375 seconds = 7 h 36 min 15 s |
Is 27375 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 (27375 ÷ 3 = 9125) | 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 (27375 ÷ 5 = 5475) | 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 7) | 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 7) | 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 27375 a prime number?
No. 27375 = 3 × × 73, so it is divisible by 3.
What are the factors of 27375?
1, 3, 5, 15, 25, 73, 75, 125, 219, 365, 375, 1095, 1825, 5475, 9125, 27375.
What is 27375 in binary?
110101011101111 (hexadecimal 6AEF, octal 65357).
What is the square root of 27375?
About 165.4539, exactly 5√1095.
Is 27375 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27375?
It is a composite number with 16 divisors.