The number 33764
33764 is a composite number with 12 divisors. Its prime factorisation is × 23 × 367. Divisors (12): 1, 2, 4, 23, 46, 92, 367, 734, 1468, 8441, 16882, 33764.
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How to work it out
- 1
What is special about 33764: a Harshad number: divisible by its digit sum 23.
- 2
33764 is composite. Its prime factorisation is
- 3
The divisors add up to 61824; without 33764 itself that is 28060, so 33764 is deficient (28060 is less than 33764). Euler's totient φ(33764) = 16104 numbers up to 33764 share no factor with it.
- 4
The digits of 33764 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33764 = 2^{2} \times 23 \times 367 \]33764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 61824 |
| Euler totient φ(n) | 16104 |
| Square | 1140007696 |
| Cube | 38491219847744 |
| Square root | 183.749830 (= 2√8441) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3764 × |
33764 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and sixty-four |
| Binary (base 2) | 1000001111100100 |
| Octal (base 8) | 101744 |
| Hexadecimal (base 16) | 83E4 |
| Base 3 | 1201022112 |
| As time | 33764 seconds = 9 h 22 min 44 s |
Is 33764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33764 ÷ 2 = 16882) | 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 (33764 ÷ 4 = 8441) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 33764 a prime number?
No. 33764 = × 23 × 367, so it is divisible by 2.
What are the factors of 33764?
1, 2, 4, 23, 46, 92, 367, 734, 1468, 8441, 16882, 33764.
What is 33764 in binary?
1000001111100100 (hexadecimal 83E4, octal 101744).
What is the square root of 33764?
About 183.7498, exactly 2√8441.
Is 33764 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 33764?
33764 is a Harshad number: divisible by its digit sum 23.