The number 33104
33104 is a composite number with 10 divisors. Its prime factorisation is × 2069. Divisors (10): 1, 2, 4, 8, 16, 2069, 4138, 8276, 16552, 33104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33104 is composite. Its prime factorisation is
- 3
The divisors add up to 64170; without 33104 itself that is 31066, so 33104 is deficient (31066 is less than 33104). Euler's totient φ(33104) = 16544 numbers up to 33104 share no factor with it.
- 4
The digits of 33104 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33104 = 2^{4} \times 2069 \]33104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 64170 |
| Euler totient φ(n) | 16544 |
| Square | 1095874816 |
| Cube | 36277839908864 |
| Square root | 181.945047 (= 4√2069) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3104 × |
33104 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and four |
| Binary (base 2) | 1000000101010000 |
| Octal (base 8) | 100520 |
| Hexadecimal (base 16) | 8150 |
| Base 3 | 1200102002 |
| As time | 33104 seconds = 9 h 11 min 44 s |
Is 33104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33104 ÷ 2 = 16552) | 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 (33104 ÷ 4 = 8276) | 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 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 (33104 ÷ 8 = 4138) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 5) | 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 33104 a prime number?
No. 33104 = × 2069, so it is divisible by 2.
What are the factors of 33104?
1, 2, 4, 8, 16, 2069, 4138, 8276, 16552, 33104.
What is 33104 in binary?
1000000101010000 (hexadecimal 8150, octal 100520).
What is the square root of 33104?
About 181.9450, exactly 4√2069.
Is 33104 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 33104?
It is a composite number with 10 divisors.