The number 6438
6438 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 29 × 37. Divisors (16): 1, 2, 3, 6, 29, 37, 58, 74, 87, 111, 174, 222, 1073, 2146, 3219, 6438.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6438 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6438 is composite. Its prime factorisation is
- 3
The divisors add up to 13680; without 6438 itself that is 7242, so 6438 is abundant (7242 is more than 6438). Euler's totient φ(6438) = 2016 numbers up to 6438 share no factor with it.
- 4
The digits of 6438 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6438 = 2 \times 3 \times 29 \times 37 \]
6438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 13680 |
| Euler totient φ(n) | 2016 |
| Square | 41447844 |
| Cube | 266841219672 |
| Square root | 80.237149 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 75 |
| Scientific notation | 6.438 × |
6438 in other forms
| Form | Value |
|---|---|
| In words | six thousand four hundred and thirty-eight |
| Binary (base 2) | 1100100100110 |
| Octal (base 8) | 14446 |
| Hexadecimal (base 16) | 1926 |
| Base 3 | 22211110 |
| As time | 6438 seconds = 1 h 47 min 18 s |
Is 6438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6438 ÷ 2 = 3219) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6438 ÷ 3 = 2146) | 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 (6438 ÷ 6 = 1073) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 6438 a prime number?
No. 6438 = 2 × 3 × 29 × 37, so it is divisible by 2.
What are the factors of 6438?
1, 2, 3, 6, 29, 37, 58, 74, 87, 111, 174, 222, 1073, 2146, 3219, 6438.
What is 6438 in binary?
1100100100110 (hexadecimal 1926, octal 14446).
What is the square root of 6438?
About 80.2371.
Is 6438 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 6438?
It is a composite number with 16 divisors.