The number 33125
33125 is a composite number with 10 divisors. Its prime factorisation is Ć 53. Divisors (10): 1, 5, 25, 53, 125, 265, 625, 1325, 6625, 33125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33125 is composite. Its prime factorisation is
- 3
The divisors add up to 42174; without 33125 itself that is 9049, so 33125 is deficient (9049 is less than 33125). Euler's totient Ļ(33125) = 26000 numbers up to 33125 share no factor with it.
- 4
The digits of 33125 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33125 = 5^{4} \times 53 \]33125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 42174 |
| Euler totient Ļ(n) | 26000 |
| Square | 1097265625 |
| Cube | 36346923828125 |
| Square root | 182.002747 (= 25ā53) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3125 Ć |
33125 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and twenty-five |
| Binary (base 2) | 1000000101100101 |
| Octal (base 8) | 100545 |
| Hexadecimal (base 16) | 8165 |
| Base 3 | 1200102212 |
| As time | 33125 seconds = 9 h 12 min 5 s |
Is 33125 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 2) | 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 (33125 Ć· 5 = 6625) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33125 a prime number?
No. 33125 = Ć 53, so it is divisible by 5.
What are the factors of 33125?
1, 5, 25, 53, 125, 265, 625, 1325, 6625, 33125.
What is 33125 in binary?
1000000101100101 (hexadecimal 8165, octal 100545).
What is the square root of 33125?
About 182.0027, exactly 25ā53.
Is 33125 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33125?
It is a composite number with 10 divisors.