The number 426
426 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 71. Divisors (8): 1, 2, 3, 6, 71, 142, 213, 426.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
426 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
426 is composite. Its prime factorisation is
- 3
The divisors add up to 864; without 426 itself that is 438, so 426 is abundant (438 is more than 426). Euler's totient φ(426) = 140 numbers up to 426 share no factor with it.
- 4
The digits of 426 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 14 steps to reach 1.
LaTeX source of the formulas on this page
\[ 426 = 2 \times 3 \times 71 \]
426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 864 |
| Euler totient φ(n) | 140 |
| Square | 181476 |
| Cube | 77308776 |
| Square root | 20.639767 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 14 |
| Scientific notation | 4.26 × |
426 in other forms
| Form | Value |
|---|---|
| In words | four hundred and twenty-six |
| Roman numerals | CDXXVI |
| Binary (base 2) | 110101010 |
| Octal (base 8) | 652 |
| Hexadecimal (base 16) | 1AA |
| Base 3 | 120210 |
| As time | 426 seconds = 7 min 6 s |
Is 426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (426 ÷ 2 = 213) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (426 ÷ 3 = 142) | 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 (426 ÷ 6 = 71) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 3) | 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 8) | 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 426 a prime number?
No. 426 = 2 × 3 × 71, so it is divisible by 2.
What are the factors of 426?
1, 2, 3, 6, 71, 142, 213, 426.
What is 426 in binary?
110101010 (hexadecimal 1AA, octal 652).
What is the square root of 426?
About 20.6398.
What is 426 in Roman numerals?
CDXXVI.
Is 426 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 426?
It is a composite number with 8 divisors.