The number 33325
33325 is a composite number with 12 divisors. Its prime factorisation is × 31 × 43. Divisors (12): 1, 5, 25, 31, 43, 155, 215, 775, 1075, 1333, 6665, 33325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33325 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33325 is composite. Its prime factorisation is
- 3
The divisors add up to 43648; without 33325 itself that is 10323, so 33325 is deficient (10323 is less than 33325). Euler's totient φ(33325) = 25200 numbers up to 33325 share no factor with it.
- 4
The digits of 33325 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33325 = 5^{2} \times 31 \times 43 \]33325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 43648 |
| Euler totient φ(n) | 25200 |
| Square | 1110555625 |
| Cube | 37009266203125 |
| Square root | 182.551363 (= 5√1333) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3325 × |
33325 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and twenty-five |
| Binary (base 2) | 1000001000101101 |
| Octal (base 8) | 101055 |
| Hexadecimal (base 16) | 822D |
| Base 3 | 1200201021 |
| As time | 33325 seconds = 9 h 15 min 25 s |
Is 33325 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 (33325 ÷ 5 = 6665) | 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 | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | 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 33325 a prime number?
No. 33325 = × 31 × 43, so it is divisible by 5.
What are the factors of 33325?
1, 5, 25, 31, 43, 155, 215, 775, 1075, 1333, 6665, 33325.
What is 33325 in binary?
1000001000101101 (hexadecimal 822D, octal 101055).
What is the square root of 33325?
About 182.5514, exactly 5√1333.
Is 33325 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33325?
It is a composite number with 12 divisors.