The number 33995
33995 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 523. Divisors (8): 1, 5, 13, 65, 523, 2615, 6799, 33995.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33995 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33995 is composite. Its prime factorisation is
- 3
The divisors add up to 44016; without 33995 itself that is 10021, so 33995 is deficient (10021 is less than 33995). Euler's totient φ(33995) = 25056 numbers up to 33995 share no factor with it.
- 4
The digits of 33995 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33995 = 5 \times 13 \times 523 \]
33995 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 44016 |
| Euler totient φ(n) | 25056 |
| Square | 1155660025 |
| Cube | 39286662549875 |
| Square root | 184.377330 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3995 × |
33995 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and ninety-five |
| Binary (base 2) | 1000010011001011 |
| Octal (base 8) | 102313 |
| Hexadecimal (base 16) | 84CB |
| Base 3 | 1201122002 |
| As time | 33995 seconds = 9 h 26 min 35 s |
Is 33995 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33995 ÷ 5 = 6799) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33995 a prime number?
No. 33995 = 5 × 13 × 523, so it is divisible by 5.
What are the factors of 33995?
1, 5, 13, 65, 523, 2615, 6799, 33995.
What is 33995 in binary?
1000010011001011 (hexadecimal 84CB, octal 102313).
What is the square root of 33995?
About 184.3773.
Is 33995 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 33995?
It is a composite number with 8 divisors.