The number 6426
6426 is a composite number with 32 divisors. Its prime factorisation is 2 × × 7 × 17. Divisors (32): 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63 … 6426.
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How to work it out
- 1
What is special about 6426: a Harshad number: divisible by its digit sum 18.
- 2
6426 is composite. Its prime factorisation is
- 3
The divisors add up to 17280; without 6426 itself that is 10854, so 6426 is abundant (10854 is more than 6426). Euler's totient φ(6426) = 1728 numbers up to 6426 share no factor with it.
- 4
The digits of 6426 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 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6426 = 2 \times 3^{3} \times 7 \times 17 \]6426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 17280 |
| Euler totient φ(n) | 1728 |
| Square | 41293476 |
| Cube | 265351876776 |
| Square root | 80.162335 (= 3√714) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 23 |
| Scientific notation | 6.426 × |
6426 in other forms
| Form | Value |
|---|---|
| In words | six thousand four hundred and twenty-six |
| Binary (base 2) | 1100100011010 |
| Octal (base 8) | 14432 |
| Hexadecimal (base 16) | 191A |
| Base 3 | 22211000 |
| As time | 6426 seconds = 1 h 47 min 6 s |
Is 6426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6426 ÷ 2 = 3213) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6426 ÷ 3 = 2142) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6426 ÷ 6 = 1071) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (6426 ÷ 7 = 918) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6426 ÷ 9 = 714) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 6426 a prime number?
No. 6426 = 2 × × 7 × 17, so it is divisible by 2.
What are the factors of 6426?
1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 102, 119, 126, 153, 189, 238, 306, 357, 378, 459, 714, 918, 1071, 2142, 3213, 6426.
What is 6426 in binary?
1100100011010 (hexadecimal 191A, octal 14432).
What is the square root of 6426?
About 80.1623, exactly 3√714.
Is 6426 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 6426?
6426 is a Harshad number: divisible by its digit sum 18.