The number 33216
33216 is a composite number with 28 divisors. Its prime factorisation is × 3 × 173. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 173, 192, 346 … 33216.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33216 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33216 is composite. Its prime factorisation is
- 3
The divisors add up to 88392; without 33216 itself that is 55176, so 33216 is abundant (55176 is more than 33216). Euler's totient φ(33216) = 11008 numbers up to 33216 share no factor with it.
- 4
The digits of 33216 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33216 = 2^{6} \times 3 \times 173 \]33216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 88392 |
| Euler totient φ(n) | 11008 |
| Square | 1103302656 |
| Cube | 36647301021696 |
| Square root | 182.252572 (= 8√519) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3216 × |
33216 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and sixteen |
| Binary (base 2) | 1000000111000000 |
| Octal (base 8) | 100700 |
| Hexadecimal (base 16) | 81C0 |
| Base 3 | 1200120020 |
| As time | 33216 seconds = 9 h 13 min 36 s |
Is 33216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33216 ÷ 2 = 16608) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33216 ÷ 3 = 11072) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33216 ÷ 4 = 8304) | 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 (33216 ÷ 6 = 5536) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (33216 ÷ 8 = 4152) | 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 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33216 ÷ 12 = 2768) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33216 a prime number?
No. 33216 = × 3 × 173, so it is divisible by 2.
What are the factors of 33216?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 173, 192, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 5536, 8304, 11072, 16608, 33216.
What is 33216 in binary?
1000000111000000 (hexadecimal 81C0, octal 100700).
What is the square root of 33216?
About 182.2526, exactly 8√519.
Is 33216 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33216?
It is a composite number with 28 divisors.