The number 6675
6675 is a composite number with 12 divisors. Its prime factorisation is 3 × × 89. Divisors (12): 1, 3, 5, 15, 25, 75, 89, 267, 445, 1335, 2225, 6675.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6675 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6675 is composite. Its prime factorisation is
- 3
The divisors add up to 11160; without 6675 itself that is 4485, so 6675 is deficient (4485 is less than 6675). Euler's totient φ(6675) = 3520 numbers up to 6675 share no factor with it.
- 4
The digits of 6675 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6675 = 3 \times 5^{2} \times 89 \]6675 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11160 |
| Euler totient φ(n) | 3520 |
| Square | 44555625 |
| Cube | 297408796875 |
| Square root | 81.700673 (= 5√267) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 67 |
| Scientific notation | 6.675 × |
6675 in other forms
| Form | Value |
|---|---|
| In words | six thousand six hundred and seventy-five |
| Binary (base 2) | 1101000010011 |
| Octal (base 8) | 15023 |
| Hexadecimal (base 16) | 1A13 |
| Base 3 | 100011020 |
| As time | 6675 seconds = 1 h 51 min 15 s |
Is 6675 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 (6675 ÷ 3 = 2225) | 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 (6675 ÷ 5 = 1335) | 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 4) | 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 9) | 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 6675 a prime number?
No. 6675 = 3 × × 89, so it is divisible by 3.
What are the factors of 6675?
1, 3, 5, 15, 25, 75, 89, 267, 445, 1335, 2225, 6675.
What is 6675 in binary?
1101000010011 (hexadecimal 1A13, octal 15023).
What is the square root of 6675?
About 81.7007, exactly 5√267.
Is 6675 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 6675?
It is a composite number with 12 divisors.