The number 33788
33788 is a composite number with 6 divisors. Its prime factorisation is × 8447. Divisors (6): 1, 2, 4, 8447, 16894, 33788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33788 is composite. Its prime factorisation is
- 3
The divisors add up to 59136; without 33788 itself that is 25348, so 33788 is deficient (25348 is less than 33788). Euler's totient φ(33788) = 16892 numbers up to 33788 share no factor with it.
- 4
The digits of 33788 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33788 = 2^{2} \times 8447 \]33788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 59136 |
| Euler totient φ(n) | 16892 |
| Square | 1141628944 |
| Cube | 38573358759872 |
| Square root | 183.815125 (= 2√8447) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3788 × |
33788 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and eighty-eight |
| Binary (base 2) | 1000001111111100 |
| Octal (base 8) | 101774 |
| Hexadecimal (base 16) | 83FC |
| Base 3 | 1201100102 |
| As time | 33788 seconds = 9 h 23 min 8 s |
Is 33788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33788 ÷ 2 = 16894) | 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 (33788 ÷ 4 = 8447) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33788 a prime number?
No. 33788 = × 8447, so it is divisible by 2.
What are the factors of 33788?
1, 2, 4, 8447, 16894, 33788.
What is 33788 in binary?
1000001111111100 (hexadecimal 83FC, octal 101774).
What is the square root of 33788?
About 183.8151, exactly 2√8447.
Is 33788 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 33788?
It is a composite number with 6 divisors.