The number 32438
32438 is a composite number with 12 divisors. Its prime factorisation is 2 × × 331. Divisors (12): 1, 2, 7, 14, 49, 98, 331, 662, 2317, 4634, 16219, 32438.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32438 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32438 is composite. Its prime factorisation is
- 3
The divisors add up to 56772; without 32438 itself that is 24334, so 32438 is deficient (24334 is less than 32438). Euler's totient φ(32438) = 13860 numbers up to 32438 share no factor with it.
- 4
The digits of 32438 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 191 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32438 = 2 \times 7^{2} \times 331 \]32438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 56772 |
| Euler totient φ(n) | 13860 |
| Square | 1052223844 |
| Cube | 34132037051672 |
| Square root | 180.105525 (= 7√662) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 191 |
| Scientific notation | 3.2438 × |
32438 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and thirty-eight |
| Binary (base 2) | 111111010110110 |
| Octal (base 8) | 77266 |
| Hexadecimal (base 16) | 7EB6 |
| Base 3 | 1122111102 |
| As time | 32438 seconds = 9 h 0 min 38 s |
Is 32438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32438 ÷ 2 = 16219) | 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 | No (remainder 3) | 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 | Yes (32438 ÷ 7 = 4634) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 32438 a prime number?
No. 32438 = 2 × × 331, so it is divisible by 2.
What are the factors of 32438?
1, 2, 7, 14, 49, 98, 331, 662, 2317, 4634, 16219, 32438.
What is 32438 in binary?
111111010110110 (hexadecimal 7EB6, octal 77266).
What is the square root of 32438?
About 180.1055, exactly 7√662.
Is 32438 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 32438?
It is a composite number with 12 divisors.