The number 33212
33212 is a composite number with 18 divisors. Its prime factorisation is × × 23. Divisors (18): 1, 2, 4, 19, 23, 38, 46, 76, 92, 361, 437, 722, 874, 1444, 1748, 8303 … 33212.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33212 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33212 is composite. Its prime factorisation is
- 3
The divisors add up to 64008; without 33212 itself that is 30796, so 33212 is deficient (30796 is less than 33212). Euler's totient φ(33212) = 15048 numbers up to 33212 share no factor with it.
- 4
The digits of 33212 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33212 = 2^{2} \times 19^{2} \times 23 \]33212 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 64008 |
| Euler totient φ(n) | 15048 |
| Square | 1103036944 |
| Cube | 36634062984128 |
| Square root | 182.241598 (= 38√23) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3212 × |
33212 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and twelve |
| Binary (base 2) | 1000000110111100 |
| Octal (base 8) | 100674 |
| Hexadecimal (base 16) | 81BC |
| Base 3 | 1200120002 |
| As time | 33212 seconds = 9 h 13 min 32 s |
Is 33212 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33212 ÷ 2 = 16606) | 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 | Yes (33212 ÷ 4 = 8303) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33212 a prime number?
No. 33212 = × × 23, so it is divisible by 2.
What are the factors of 33212?
1, 2, 4, 19, 23, 38, 46, 76, 92, 361, 437, 722, 874, 1444, 1748, 8303, 16606, 33212.
What is 33212 in binary?
1000000110111100 (hexadecimal 81BC, octal 100674).
What is the square root of 33212?
About 182.2416, exactly 38√23.
Is 33212 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 33212?
It is a composite number with 18 divisors.