The number 13426
13426 is a composite number with 12 divisors. Its prime factorisation is 2 × × 137. Divisors (12): 1, 2, 7, 14, 49, 98, 137, 274, 959, 1918, 6713, 13426.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13426 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13426 is composite. Its prime factorisation is
- 3
The divisors add up to 23598; without 13426 itself that is 10172, so 13426 is deficient (10172 is less than 13426). Euler's totient φ(13426) = 5712 numbers up to 13426 share no factor with it.
- 4
The digits of 13426 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13426 = 2 \times 7^{2} \times 137 \]13426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 23598 |
| Euler totient φ(n) | 5712 |
| Square | 180257476 |
| Cube | 2420136872776 |
| Square root | 115.870618 (= 7√274) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3426 × |
13426 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and twenty-six |
| Binary (base 2) | 11010001110010 |
| Octal (base 8) | 32162 |
| Hexadecimal (base 16) | 3472 |
| Base 3 | 200102021 |
| As time | 13426 seconds = 3 h 43 min 46 s |
Is 13426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13426 ÷ 2 = 6713) | 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 | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13426 ÷ 7 = 1918) | 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 7) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13426 a prime number?
No. 13426 = 2 × × 137, so it is divisible by 2.
What are the factors of 13426?
1, 2, 7, 14, 49, 98, 137, 274, 959, 1918, 6713, 13426.
What is 13426 in binary?
11010001110010 (hexadecimal 3472, octal 32162).
What is the square root of 13426?
About 115.8706, exactly 7√274.
Is 13426 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13426?
It is a composite number with 12 divisors.