The number 33996
33996 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2833. Divisors (12): 1, 2, 3, 4, 6, 12, 2833, 5666, 8499, 11332, 16998, 33996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33996 is composite. Its prime factorisation is
- 3
The divisors add up to 79352; without 33996 itself that is 45356, so 33996 is abundant (45356 is more than 33996). Euler's totient φ(33996) = 11328 numbers up to 33996 share no factor with it.
- 4
The digits of 33996 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33996 = 2^{2} \times 3 \times 2833 \]33996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 79352 |
| Euler totient φ(n) | 11328 |
| Square | 1155728016 |
| Cube | 39290129631936 |
| Square root | 184.380042 (= 2√8499) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3996 × |
33996 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and ninety-six |
| Binary (base 2) | 1000010011001100 |
| Octal (base 8) | 102314 |
| Hexadecimal (base 16) | 84CC |
| Base 3 | 1201122010 |
| As time | 33996 seconds = 9 h 26 min 36 s |
Is 33996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33996 ÷ 2 = 16998) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33996 ÷ 3 = 11332) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33996 ÷ 4 = 8499) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33996 ÷ 6 = 5666) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33996 ÷ 12 = 2833) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33996 a prime number?
No. 33996 = × 3 × 2833, so it is divisible by 2.
What are the factors of 33996?
1, 2, 3, 4, 6, 12, 2833, 5666, 8499, 11332, 16998, 33996.
What is 33996 in binary?
1000010011001100 (hexadecimal 84CC, octal 102314).
What is the square root of 33996?
About 184.3800, exactly 2√8499.
Is 33996 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 33996?
It is a composite number with 12 divisors.