The number 3225
3225 is a composite number with 12 divisors. Its prime factorisation is 3 × × 43. Divisors (12): 1, 3, 5, 15, 25, 43, 75, 129, 215, 645, 1075, 3225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3225 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3225 is composite. Its prime factorisation is
- 3
The divisors add up to 5456; without 3225 itself that is 2231, so 3225 is deficient (2231 is less than 3225). Euler's totient φ(3225) = 1680 numbers up to 3225 share no factor with it.
- 4
The digits of 3225 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3225 = 3 \times 5^{2} \times 43 \]3225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5456 |
| Euler totient φ(n) | 1680 |
| Square | 10400625 |
| Cube | 33542015625 |
| Square root | 56.789083 (= 5√129) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 61 |
| Scientific notation | 3.225 × |
3225 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and twenty-five |
| Roman numerals | MMMCCXXV |
| Binary (base 2) | 110010011001 |
| Octal (base 8) | 6231 |
| Hexadecimal (base 16) | C99 |
| Base 3 | 11102110 |
| As time | 3225 seconds = 53 min 45 s |
Is 3225 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 (3225 ÷ 3 = 1075) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3225 ÷ 5 = 645) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3225 a prime number?
No. 3225 = 3 × × 43, so it is divisible by 3.
What are the factors of 3225?
1, 3, 5, 15, 25, 43, 75, 129, 215, 645, 1075, 3225.
What is 3225 in binary?
110010011001 (hexadecimal C99, octal 6231).
What is the square root of 3225?
About 56.7891, exactly 5√129.
What is 3225 in Roman numerals?
MMMCCXXV.
Is 3225 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3225?
It is a composite number with 12 divisors.