The number 36443
36443 is a composite number with 4 divisors. Its prime factorisation is 11 × 3313. Divisors (4): 1, 11, 3313, 36443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36443: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 3313, the product of two primes.
- 2
36443 is composite. Its prime factorisation is
- 3
The divisors add up to 39768; without 36443 itself that is 3325, so 36443 is deficient (3325 is less than 36443). Euler's totient φ(36443) = 33120 numbers up to 36443 share no factor with it.
- 4
The digits of 36443 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 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36443 = 11 \times 3313 \]
36443 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 39768 |
| Euler totient φ(n) | 33120 |
| Square | 1328092249 |
| Cube | 48399665830307 |
| Square root | 190.900498 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.6443 × |
36443 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand four hundred and forty-three |
| Binary (base 2) | 1000111001011011 |
| Octal (base 8) | 107133 |
| Hexadecimal (base 16) | 8E5B |
| Base 3 | 1211222202 |
| As time | 36443 seconds = 10 h 7 min 23 s |
Is 36443 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (36443 ÷ 11 = 3313) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36443 a prime number?
No. 36443 = 11 × 3313, so it is divisible by 11.
What are the factors of 36443?
1, 11, 3313, 36443.
What is 36443 in binary?
1000111001011011 (hexadecimal 8E5B, octal 107133).
What is the square root of 36443?
About 190.9005.
Is 36443 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 36443?
36443 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 3313, the product of two primes.