The number 33188
33188 is a composite number with 6 divisors. Its prime factorisation is × 8297. Divisors (6): 1, 2, 4, 8297, 16594, 33188.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33188 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33188 is composite. Its prime factorisation is
- 3
The divisors add up to 58086; without 33188 itself that is 24898, so 33188 is deficient (24898 is less than 33188). Euler's totient φ(33188) = 16592 numbers up to 33188 share no factor with it.
- 4
The digits of 33188 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33188 = 2^{2} \times 8297 \]33188 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 58086 |
| Euler totient φ(n) | 16592 |
| Square | 1101443344 |
| Cube | 36554701700672 |
| Square root | 182.175739 (= 2√8297) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3188 × |
33188 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and eighty-eight |
| Binary (base 2) | 1000000110100100 |
| Octal (base 8) | 100644 |
| Hexadecimal (base 16) | 81A4 |
| Base 3 | 1200112012 |
| As time | 33188 seconds = 9 h 13 min 8 s |
Is 33188 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33188 ÷ 2 = 16594) | 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 (33188 ÷ 4 = 8297) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | 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 33188 a prime number?
No. 33188 = × 8297, so it is divisible by 2.
What are the factors of 33188?
1, 2, 4, 8297, 16594, 33188.
What is 33188 in binary?
1000000110100100 (hexadecimal 81A4, octal 100644).
What is the square root of 33188?
About 182.1757, exactly 2√8297.
Is 33188 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 33188?
It is a composite number with 6 divisors.