The number 33396
33396 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 23. Divisors (36): 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 121 … 33396.
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How to work it out
- 1
33396 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33396 is composite. Its prime factorisation is
- 3
The divisors add up to 89376; without 33396 itself that is 55980, so 33396 is abundant (55980 is more than 33396). Euler's totient φ(33396) = 9680 numbers up to 33396 share no factor with it.
- 4
The digits of 33396 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33396 = 2^{2} \times 3 \times 11^{2} \times 23 \]33396 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 89376 |
| Euler totient φ(n) | 9680 |
| Square | 1115292816 |
| Cube | 37246318883136 |
| Square root | 182.745725 (= 22√69) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.3396 × |
33396 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and ninety-six |
| Binary (base 2) | 1000001001110100 |
| Octal (base 8) | 101164 |
| Hexadecimal (base 16) | 8274 |
| Base 3 | 1200210220 |
| As time | 33396 seconds = 9 h 16 min 36 s |
Is 33396 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33396 ÷ 2 = 16698) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33396 ÷ 3 = 11132) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33396 ÷ 4 = 8349) | 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 (33396 ÷ 6 = 5566) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 | Yes (33396 ÷ 11 = 3036) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33396 ÷ 12 = 2783) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33396 a prime number?
No. 33396 = × 3 × × 23, so it is divisible by 2.
What are the factors of 33396?
1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 121, 132, 138, 242, 253, 276, 363, 484, 506, 726, 759, 1012, 1452, 1518, 2783, 3036, 5566, 8349, 11132, 16698, 33396.
What is 33396 in binary?
1000001001110100 (hexadecimal 8274, octal 101164).
What is the square root of 33396?
About 182.7457, exactly 22√69.
Is 33396 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 33396?
It is a composite number with 36 divisors.