The number 33025
33025 is a composite number with 6 divisors. Its prime factorisation is Ć 1321. Divisors (6): 1, 5, 25, 1321, 6605, 33025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33025 is composite. Its prime factorisation is
- 3
The divisors add up to 40982; without 33025 itself that is 7957, so 33025 is deficient (7957 is less than 33025). Euler's totient Ļ(33025) = 26400 numbers up to 33025 share no factor with it.
- 4
The digits of 33025 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33025 = 5^{2} \times 1321 \]33025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 40982 |
| Euler totient Ļ(n) | 26400 |
| Square | 1090650625 |
| Cube | 36018736890625 |
| Square root | 181.727818 (= 5ā1321) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3025 Ć |
33025 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and twenty-five |
| Binary (base 2) | 1000000100000001 |
| Octal (base 8) | 100401 |
| Hexadecimal (base 16) | 8101 |
| Base 3 | 1200022011 |
| As time | 33025 seconds = 9 h 10 min 25 s |
Is 33025 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 (33025 Ć· 5 = 6605) | 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 6) | 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 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 33025 a prime number?
No. 33025 = Ć 1321, so it is divisible by 5.
What are the factors of 33025?
1, 5, 25, 1321, 6605, 33025.
What is 33025 in binary?
1000000100000001 (hexadecimal 8101, octal 100401).
What is the square root of 33025?
About 181.7278, exactly 5ā1321.
Is 33025 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 33025?
It is a composite number with 6 divisors.