The number 33495
33495 is a composite number with 32 divisors. Its prime factorisation is 3 × 5 × 7 × 11 × 29. Divisors (32): 1, 3, 5, 7, 11, 15, 21, 29, 33, 35, 55, 77, 87, 105, 145, 165 … 33495.
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How to work it out
- 1
33495 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33495 is composite. Its prime factorisation is
- 3
The divisors add up to 69120; without 33495 itself that is 35625, so 33495 is abundant (35625 is more than 33495). Euler's totient φ(33495) = 13440 numbers up to 33495 share no factor with it.
- 4
The digits of 33495 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33495 = 3 \times 5 \times 7 \times 11 \times 29 \]
33495 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 69120 |
| Euler totient φ(n) | 13440 |
| Square | 1121915025 |
| Cube | 37578543762375 |
| Square root | 183.016393 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3495 × |
33495 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and ninety-five |
| Binary (base 2) | 1000001011010111 |
| Octal (base 8) | 101327 |
| Hexadecimal (base 16) | 82D7 |
| Base 3 | 1200221120 |
| As time | 33495 seconds = 9 h 18 min 15 s |
Is 33495 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 | Yes (33495 ÷ 3 = 11165) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33495 ÷ 5 = 6699) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33495 ÷ 7 = 4785) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (33495 ÷ 11 = 3045) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33495 a prime number?
No. 33495 = 3 × 5 × 7 × 11 × 29, so it is divisible by 3.
What are the factors of 33495?
1, 3, 5, 7, 11, 15, 21, 29, 33, 35, 55, 77, 87, 105, 145, 165, 203, 231, 319, 385, 435, 609, 957, 1015, 1155, 1595, 2233, 3045, 4785, 6699, 11165, 33495.
What is 33495 in binary?
1000001011010111 (hexadecimal 82D7, octal 101327).
What is the square root of 33495?
About 183.0164.
Is 33495 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 33495?
It is a composite number with 32 divisors.