The number 33925
33925 is a composite number with 12 divisors. Its prime factorisation is × 23 × 59. Divisors (12): 1, 5, 23, 25, 59, 115, 295, 575, 1357, 1475, 6785, 33925.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33925 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33925 is composite. Its prime factorisation is
- 3
The divisors add up to 44640; without 33925 itself that is 10715, so 33925 is deficient (10715 is less than 33925). Euler's totient φ(33925) = 25520 numbers up to 33925 share no factor with it.
- 4
The digits of 33925 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33925 = 5^{2} \times 23 \times 59 \]33925 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 44640 |
| Euler totient φ(n) | 25520 |
| Square | 1150905625 |
| Cube | 39044473328125 |
| Square root | 184.187405 (= 5√1357) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3925 × |
33925 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and twenty-five |
| Binary (base 2) | 1000010010000101 |
| Octal (base 8) | 102205 |
| Hexadecimal (base 16) | 8485 |
| Base 3 | 1201112111 |
| As time | 33925 seconds = 9 h 25 min 25 s |
Is 33925 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 (33925 ÷ 5 = 6785) | 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 3) | 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 1) | 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 33925 a prime number?
No. 33925 = × 23 × 59, so it is divisible by 5.
What are the factors of 33925?
1, 5, 23, 25, 59, 115, 295, 575, 1357, 1475, 6785, 33925.
What is 33925 in binary?
1000010010000101 (hexadecimal 8485, octal 102205).
What is the square root of 33925?
About 184.1874, exactly 5√1357.
Is 33925 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 33925?
It is a composite number with 12 divisors.