The number 33232
33232 is a composite number with 20 divisors. Its prime factorisation is × 31 × 67. Divisors (20): 1, 2, 4, 8, 16, 31, 62, 67, 124, 134, 248, 268, 496, 536, 1072, 2077 … 33232.
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How to work it out
- 1
33232 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33232 is composite. Its prime factorisation is
- 3
The divisors add up to 67456; without 33232 itself that is 34224, so 33232 is abundant (34224 is more than 33232). Euler's totient φ(33232) = 15840 numbers up to 33232 share no factor with it.
- 4
The digits of 33232 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33232 = 2^{4} \times 31 \times 67 \]33232 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 67456 |
| Euler totient φ(n) | 15840 |
| Square | 1104365824 |
| Cube | 36700285063168 |
| Square root | 182.296462 (= 4√2077) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3232 × |
33232 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and thirty-two |
| Binary (base 2) | 1000000111010000 |
| Octal (base 8) | 100720 |
| Hexadecimal (base 16) | 81D0 |
| Base 3 | 1200120211 |
| As time | 33232 seconds = 9 h 13 min 52 s |
Is 33232 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33232 ÷ 2 = 16616) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33232 ÷ 4 = 8308) | 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 4) | 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 | Yes (33232 ÷ 8 = 4154) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33232 a prime number?
No. 33232 = × 31 × 67, so it is divisible by 2.
What are the factors of 33232?
1, 2, 4, 8, 16, 31, 62, 67, 124, 134, 248, 268, 496, 536, 1072, 2077, 4154, 8308, 16616, 33232.
What is 33232 in binary?
1000000111010000 (hexadecimal 81D0, octal 100720).
What is the square root of 33232?
About 182.2965, exactly 4√2077.
Is 33232 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 33232?
It is a composite number with 20 divisors.