The number 33644
33644 is a composite number with 12 divisors. Its prime factorisation is × 13 × 647. Divisors (12): 1, 2, 4, 13, 26, 52, 647, 1294, 2588, 8411, 16822, 33644.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33644: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33644 is composite. Its prime factorisation is
- 3
The divisors add up to 63504; without 33644 itself that is 29860, so 33644 is deficient (29860 is less than 33644). Euler's totient φ(33644) = 15504 numbers up to 33644 share no factor with it.
- 4
The digits of 33644 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33644 = 2^{2} \times 13 \times 647 \]33644 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63504 |
| Euler totient φ(n) | 15504 |
| Square | 1131918736 |
| Cube | 38082273953984 |
| Square root | 183.423008 (= 2√8411) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3644 × |
33644 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and forty-four |
| Binary (base 2) | 1000001101101100 |
| Octal (base 8) | 101554 |
| Hexadecimal (base 16) | 836C |
| Base 3 | 1201011002 |
| As time | 33644 seconds = 9 h 20 min 44 s |
Is 33644 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33644 ÷ 2 = 16822) | 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 (33644 ÷ 4 = 8411) | 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 2) | 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 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 6) | 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 33644 a prime number?
No. 33644 = × 13 × 647, so it is divisible by 2.
What are the factors of 33644?
1, 2, 4, 13, 26, 52, 647, 1294, 2588, 8411, 16822, 33644.
What is 33644 in binary?
1000001101101100 (hexadecimal 836C, octal 101554).
What is the square root of 33644?
About 183.4230, exactly 2√8411.
Is 33644 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33644?
33644 is a happy number: repeatedly adding the squares of its digits reaches 1.