The number 32643
32643 is a composite number with 20 divisors. Its prime factorisation is × 13 × 31. Divisors (20): 1, 3, 9, 13, 27, 31, 39, 81, 93, 117, 279, 351, 403, 837, 1053, 1209 … 32643.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32643 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32643 is composite. Its prime factorisation is
- 3
The divisors add up to 54208; without 32643 itself that is 21565, so 32643 is deficient (21565 is less than 32643). Euler's totient φ(32643) = 19440 numbers up to 32643 share no factor with it.
- 4
The digits of 32643 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32643 = 3^{4} \times 13 \times 31 \]32643 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 54208 |
| Euler totient φ(n) | 19440 |
| Square | 1065565449 |
| Cube | 34783252951707 |
| Square root | 180.673739 (= 9√403) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2643 × |
32643 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand six hundred and forty-three |
| Binary (base 2) | 111111110000011 |
| Octal (base 8) | 77603 |
| Hexadecimal (base 16) | 7F83 |
| Base 3 | 1122210000 |
| As time | 32643 seconds = 9 h 4 min 3 s |
Is 32643 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 | Yes (32643 ÷ 3 = 10881) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (32643 ÷ 9 = 3627) | 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 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32643 a prime number?
No. 32643 = × 13 × 31, so it is divisible by 3.
What are the factors of 32643?
1, 3, 9, 13, 27, 31, 39, 81, 93, 117, 279, 351, 403, 837, 1053, 1209, 2511, 3627, 10881, 32643.
What is 32643 in binary?
111111110000011 (hexadecimal 7F83, octal 77603).
What is the square root of 32643?
About 180.6737, exactly 9√403.
Is 32643 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 32643?
It is a composite number with 20 divisors.