The number 33344
33344 is a composite number with 14 divisors. Its prime factorisation is × 521. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 521, 1042, 2084, 4168, 8336, 16672, 33344.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33344 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33344 is composite. Its prime factorisation is
- 3
The divisors add up to 66294; without 33344 itself that is 32950, so 33344 is deficient (32950 is less than 33344). Euler's totient φ(33344) = 16640 numbers up to 33344 share no factor with it.
- 4
The digits of 33344 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33344 = 2^{6} \times 521 \]33344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 66294 |
| Euler totient φ(n) | 16640 |
| Square | 1111822336 |
| Cube | 37072603971584 |
| Square root | 182.603395 (= 8√521) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3344 × |
33344 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and forty-four |
| Binary (base 2) | 1000001001000000 |
| Octal (base 8) | 101100 |
| Hexadecimal (base 16) | 8240 |
| Base 3 | 1200201222 |
| As time | 33344 seconds = 9 h 15 min 44 s |
Is 33344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33344 ÷ 2 = 16672) | 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 (33344 ÷ 4 = 8336) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 3) | 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 (33344 ÷ 8 = 4168) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33344 a prime number?
No. 33344 = × 521, so it is divisible by 2.
What are the factors of 33344?
1, 2, 4, 8, 16, 32, 64, 521, 1042, 2084, 4168, 8336, 16672, 33344.
What is 33344 in binary?
1000001001000000 (hexadecimal 8240, octal 101100).
What is the square root of 33344?
About 182.6034, exactly 8√521.
Is 33344 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33344?
It is a composite number with 14 divisors.