The number 3325
3325 is a composite number with 12 divisors. Its prime factorisation is × 7 × 19. Divisors (12): 1, 5, 7, 19, 25, 35, 95, 133, 175, 475, 665, 3325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3325 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3325 is composite. Its prime factorisation is
- 3
The divisors add up to 4960; without 3325 itself that is 1635, so 3325 is deficient (1635 is less than 3325). Euler's totient φ(3325) = 2160 numbers up to 3325 share no factor with it.
- 4
The digits of 3325 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3325 = 5^{2} \times 7 \times 19 \]3325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 4960 |
| Euler totient φ(n) | 2160 |
| Square | 11055625 |
| Cube | 36759953125 |
| Square root | 57.662813 (= 5√133) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.325 × |
3325 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and twenty-five |
| Roman numerals | MMMCCCXXV |
| Binary (base 2) | 110011111101 |
| Octal (base 8) | 6375 |
| Hexadecimal (base 16) | CFD |
| Base 3 | 11120011 |
| As time | 3325 seconds = 55 min 25 s |
Is 3325 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 | No (remainder 1) | 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 (3325 ÷ 5 = 665) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3325 ÷ 7 = 475) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3325 a prime number?
No. 3325 = × 7 × 19, so it is divisible by 5.
What are the factors of 3325?
1, 5, 7, 19, 25, 35, 95, 133, 175, 475, 665, 3325.
What is 3325 in binary?
110011111101 (hexadecimal CFD, octal 6375).
What is the square root of 3325?
About 57.6628, exactly 5√133.
What is 3325 in Roman numerals?
MMMCCCXXV.
Is 3325 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3325?
It is a composite number with 12 divisors.