The number 33688
33688 is a composite number with 8 divisors. Its prime factorisation is × 4211. Divisors (8): 1, 2, 4, 8, 4211, 8422, 16844, 33688.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33688 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33688 is composite. Its prime factorisation is
- 3
The divisors add up to 63180; without 33688 itself that is 29492, so 33688 is deficient (29492 is less than 33688). Euler's totient φ(33688) = 16840 numbers up to 33688 share no factor with it.
- 4
The digits of 33688 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33688 = 2^{3} \times 4211 \]33688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 63180 |
| Euler totient φ(n) | 16840 |
| Square | 1134881344 |
| Cube | 38231882716672 |
| Square root | 183.542911 (= 2√8422) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3688 × |
33688 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and eighty-eight |
| Binary (base 2) | 1000001110011000 |
| Octal (base 8) | 101630 |
| Hexadecimal (base 16) | 8398 |
| Base 3 | 1201012201 |
| As time | 33688 seconds = 9 h 21 min 28 s |
Is 33688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33688 ÷ 2 = 16844) | 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 (33688 ÷ 4 = 8422) | 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 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 | Yes (33688 ÷ 8 = 4211) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | 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 33688 a prime number?
No. 33688 = × 4211, so it is divisible by 2.
What are the factors of 33688?
1, 2, 4, 8, 4211, 8422, 16844, 33688.
What is 33688 in binary?
1000001110011000 (hexadecimal 8398, octal 101630).
What is the square root of 33688?
About 183.5429, exactly 2√8422.
Is 33688 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 33688?
It is a composite number with 8 divisors.