The number 33650
33650 is a composite number with 12 divisors. Its prime factorisation is 2 × × 673. Divisors (12): 1, 2, 5, 10, 25, 50, 673, 1346, 3365, 6730, 16825, 33650.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33650: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33650 is composite. Its prime factorisation is
- 3
The divisors add up to 62682; without 33650 itself that is 29032, so 33650 is deficient (29032 is less than 33650). Euler's totient φ(33650) = 13440 numbers up to 33650 share no factor with it.
- 4
The digits of 33650 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33650 = 2 \times 5^{2} \times 673 \]33650 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 62682 |
| Euler totient φ(n) | 13440 |
| Square | 1132322500 |
| Cube | 38102652125000 |
| Square root | 183.439363 (= 5√1346) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.365 × |
33650 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and fifty |
| Binary (base 2) | 1000001101110010 |
| Octal (base 8) | 101562 |
| Hexadecimal (base 16) | 8372 |
| Base 3 | 1201011022 |
| As time | 33650 seconds = 9 h 20 min 50 s |
Is 33650 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33650 ÷ 2 = 16825) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33650 ÷ 5 = 6730) | 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 | No (remainder 2) | 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 | Yes (33650 ÷ 10 = 3365) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33650 a prime number?
No. 33650 = 2 × × 673, so it is divisible by 2.
What are the factors of 33650?
1, 2, 5, 10, 25, 50, 673, 1346, 3365, 6730, 16825, 33650.
What is 33650 in binary?
1000001101110010 (hexadecimal 8372, octal 101562).
What is the square root of 33650?
About 183.4394, exactly 5√1346.
Is 33650 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33650?
33650 is a happy number: repeatedly adding the squares of its digits reaches 1.