The number 8426
8426 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 383. Divisors (8): 1, 2, 11, 22, 383, 766, 4213, 8426.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8426 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8426 is composite. Its prime factorisation is
- 3
The divisors add up to 13824; without 8426 itself that is 5398, so 8426 is deficient (5398 is less than 8426). Euler's totient φ(8426) = 3820 numbers up to 8426 share no factor with it.
- 4
The digits of 8426 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8426 = 2 \times 11 \times 383 \]
8426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13824 |
| Euler totient φ(n) | 3820 |
| Square | 70997476 |
| Cube | 598224732776 |
| Square root | 91.793246 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 83 |
| Scientific notation | 8.426 × |
8426 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and twenty-six |
| Binary (base 2) | 10000011101010 |
| Octal (base 8) | 20352 |
| Hexadecimal (base 16) | 20EA |
| Base 3 | 102120002 |
| As time | 8426 seconds = 2 h 20 min 26 s |
Is 8426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8426 ÷ 2 = 4213) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (8426 ÷ 11 = 766) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8426 a prime number?
No. 8426 = 2 × 11 × 383, so it is divisible by 2.
What are the factors of 8426?
1, 2, 11, 22, 383, 766, 4213, 8426.
What is 8426 in binary?
10000011101010 (hexadecimal 20EA, octal 20352).
What is the square root of 8426?
About 91.7932.
Is 8426 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 8426?
It is a composite number with 8 divisors.