The number 39438
39438 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 313. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 313, 626, 939, 1878 … 39438.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39438 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39438 is composite. Its prime factorisation is
- 3
The divisors add up to 97968; without 39438 itself that is 58530, so 39438 is abundant (58530 is more than 39438). Euler's totient φ(39438) = 11232 numbers up to 39438 share no factor with it.
- 4
The digits of 39438 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39438 = 2 \times 3^{2} \times 7 \times 313 \]39438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 97968 |
| Euler totient φ(n) | 11232 |
| Square | 1555355844 |
| Cube | 61340123775672 |
| Square root | 198.590030 (= 3√4382) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.9438 × |
39438 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand four hundred and thirty-eight |
| Binary (base 2) | 1001101000001110 |
| Octal (base 8) | 115016 |
| Hexadecimal (base 16) | 9A0E |
| Base 3 | 2000002200 |
| As time | 39438 seconds = 10 h 57 min 18 s |
Is 39438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39438 ÷ 2 = 19719) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39438 ÷ 3 = 13146) | 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 | Yes (39438 ÷ 6 = 6573) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (39438 ÷ 7 = 5634) | 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 | Yes (39438 ÷ 9 = 4382) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39438 a prime number?
No. 39438 = 2 × × 7 × 313, so it is divisible by 2.
What are the factors of 39438?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 313, 626, 939, 1878, 2191, 2817, 4382, 5634, 6573, 13146, 19719, 39438.
What is 39438 in binary?
1001101000001110 (hexadecimal 9A0E, octal 115016).
What is the square root of 39438?
About 198.5900, exactly 3√4382.
Is 39438 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 39438?
It is a composite number with 24 divisors.