The number 33888
33888 is a composite number with 24 divisors. Its prime factorisation is × 3 × 353. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 353, 706, 1059, 1412 … 33888.
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How to work it out
- 1
33888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33888 is composite. Its prime factorisation is
- 3
The divisors add up to 89208; without 33888 itself that is 55320, so 33888 is abundant (55320 is more than 33888). Euler's totient φ(33888) = 11264 numbers up to 33888 share no factor with it.
- 4
The digits of 33888 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33888 = 2^{5} \times 3 \times 353 \]33888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 89208 |
| Euler totient φ(n) | 11264 |
| Square | 1148396544 |
| Cube | 38916862083072 |
| Square root | 184.086936 (= 4√2118) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.3888 × |
33888 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and eighty-eight |
| Binary (base 2) | 1000010001100000 |
| Octal (base 8) | 102140 |
| Hexadecimal (base 16) | 8460 |
| Base 3 | 1201111010 |
| As time | 33888 seconds = 9 h 24 min 48 s |
Is 33888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33888 ÷ 2 = 16944) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33888 ÷ 3 = 11296) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33888 ÷ 4 = 8472) | 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 | Yes (33888 ÷ 6 = 5648) | 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 | Yes (33888 ÷ 8 = 4236) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33888 ÷ 12 = 2824) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33888 a prime number?
No. 33888 = × 3 × 353, so it is divisible by 2.
What are the factors of 33888?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 353, 706, 1059, 1412, 2118, 2824, 4236, 5648, 8472, 11296, 16944, 33888.
What is 33888 in binary?
1000010001100000 (hexadecimal 8460, octal 102140).
What is the square root of 33888?
About 184.0869, exactly 4√2118.
Is 33888 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 33888?
It is a composite number with 24 divisors.