The number 675
675 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
675 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
675 is composite. Its prime factorisation is
- 3
The divisors add up to 1240; without 675 itself that is 565, so 675 is deficient (565 is less than 675). Euler's totient φ(675) = 360 numbers up to 675 share no factor with it.
- 4
The digits of 675 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 675 = 3^{3} \times 5^{2} \]675 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1240 |
| Euler totient φ(n) | 360 |
| Square | 455625 |
| Cube | 307546875 |
| Square root | 25.980762 (= 15√3) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 113 |
| Scientific notation | 6.75 × |
675 in other forms
| Form | Value |
|---|---|
| In words | six hundred and seventy-five |
| Roman numerals | DCLXXV |
| Binary (base 2) | 1010100011 |
| Octal (base 8) | 1243 |
| Hexadecimal (base 16) | 2A3 |
| Base 3 | 221000 |
| As time | 675 seconds = 11 min 15 s |
Is 675 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 (675 ÷ 3 = 225) | 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 (675 ÷ 5 = 135) | 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 | Yes (675 ÷ 9 = 75) | 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 4) | 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 675 a prime number?
No. 675 = × , so it is divisible by 3.
What are the factors of 675?
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675.
What is 675 in binary?
1010100011 (hexadecimal 2A3, octal 1243).
What is the square root of 675?
About 25.9808, exactly 15√3.
What is 675 in Roman numerals?
DCLXXV.
Is 675 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 675?
It is a composite number with 12 divisors.