The number 6424
6424 is a composite number with 16 divisors. Its prime factorisation is × 11 × 73. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424.
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How to work it out
- 1
6424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6424 is composite. Its prime factorisation is
- 3
The divisors add up to 13320; without 6424 itself that is 6896, so 6424 is abundant (6896 is more than 6424). Euler's totient φ(6424) = 2880 numbers up to 6424 share no factor with it.
- 4
The digits of 6424 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6424 = 2^{3} \times 11 \times 73 \]6424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 13320 |
| Euler totient φ(n) | 2880 |
| Square | 41267776 |
| Cube | 265104193024 |
| Square root | 80.149860 (= 2√1606) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 23 |
| Scientific notation | 6.424 × |
6424 in other forms
| Form | Value |
|---|---|
| In words | six thousand four hundred and twenty-four |
| Binary (base 2) | 1100100011000 |
| Octal (base 8) | 14430 |
| Hexadecimal (base 16) | 1918 |
| Base 3 | 22210221 |
| As time | 6424 seconds = 1 h 47 min 4 s |
Is 6424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6424 ÷ 2 = 3212) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6424 ÷ 4 = 1606) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (6424 ÷ 8 = 803) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (6424 ÷ 11 = 584) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6424 a prime number?
No. 6424 = × 11 × 73, so it is divisible by 2.
What are the factors of 6424?
1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424.
What is 6424 in binary?
1100100011000 (hexadecimal 1918, octal 14430).
What is the square root of 6424?
About 80.1499, exactly 2√1606.
Is 6424 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 6424?
It is a composite number with 16 divisors.