The number 33388
33388 is a composite number with 12 divisors. Its prime factorisation is × 17 × 491. Divisors (12): 1, 2, 4, 17, 34, 68, 491, 982, 1964, 8347, 16694, 33388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33388 is composite. Its prime factorisation is
- 3
The divisors add up to 61992; without 33388 itself that is 28604, so 33388 is deficient (28604 is less than 33388). Euler's totient φ(33388) = 15680 numbers up to 33388 share no factor with it.
- 4
The digits of 33388 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33388 = 2^{2} \times 17 \times 491 \]33388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 61992 |
| Euler totient φ(n) | 15680 |
| Square | 1114758544 |
| Cube | 37219558267072 |
| Square root | 182.723835 (= 2√8347) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3388 × |
33388 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and eighty-eight |
| Binary (base 2) | 1000001001101100 |
| Octal (base 8) | 101154 |
| Hexadecimal (base 16) | 826C |
| Base 3 | 1200210121 |
| As time | 33388 seconds = 9 h 16 min 28 s |
Is 33388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33388 ÷ 2 = 16694) | 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 (33388 ÷ 4 = 8347) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | 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 3) | 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 33388 a prime number?
No. 33388 = × 17 × 491, so it is divisible by 2.
What are the factors of 33388?
1, 2, 4, 17, 34, 68, 491, 982, 1964, 8347, 16694, 33388.
What is 33388 in binary?
1000001001101100 (hexadecimal 826C, octal 101154).
What is the square root of 33388?
About 182.7238, exactly 2√8347.
Is 33388 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33388?
It is a composite number with 12 divisors.