The number 33064
33064 is a composite number with 8 divisors. Its prime factorisation is × 4133. Divisors (8): 1, 2, 4, 8, 4133, 8266, 16532, 33064.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33064: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33064 is composite. Its prime factorisation is
- 3
The divisors add up to 62010; without 33064 itself that is 28946, so 33064 is deficient (28946 is less than 33064). Euler's totient φ(33064) = 16528 numbers up to 33064 share no factor with it.
- 4
The digits of 33064 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33064 = 2^{3} \times 4133 \]33064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 62010 |
| Euler totient φ(n) | 16528 |
| Square | 1093228096 |
| Cube | 36146493766144 |
| Square root | 181.835090 (= 2√8266) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3064 × |
33064 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and sixty-four |
| Binary (base 2) | 1000000100101000 |
| Octal (base 8) | 100450 |
| Hexadecimal (base 16) | 8128 |
| Base 3 | 1200100121 |
| As time | 33064 seconds = 9 h 11 min 4 s |
Is 33064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33064 ÷ 2 = 16532) | 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 (33064 ÷ 4 = 8266) | 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 4) | 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 (33064 ÷ 8 = 4133) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 33064 a prime number?
No. 33064 = × 4133, so it is divisible by 2.
What are the factors of 33064?
1, 2, 4, 8, 4133, 8266, 16532, 33064.
What is 33064 in binary?
1000000100101000 (hexadecimal 8128, octal 100450).
What is the square root of 33064?
About 181.8351, exactly 2√8266.
Is 33064 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33064?
33064 is a happy number: repeatedly adding the squares of its digits reaches 1.