The number 13926
13926 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 211. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 211, 422, 633, 1266, 2321, 4642, 6963, 13926.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13926 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13926 is composite. Its prime factorisation is
- 3
The divisors add up to 30528; without 13926 itself that is 16602, so 13926 is abundant (16602 is more than 13926). Euler's totient φ(13926) = 4200 numbers up to 13926 share no factor with it.
- 4
The digits of 13926 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13926 = 2 \times 3 \times 11 \times 211 \]
13926 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 30528 |
| Euler totient φ(n) | 4200 |
| Square | 193933476 |
| Cube | 2700717586776 |
| Square root | 118.008474 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3926 × |
13926 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and twenty-six |
| Binary (base 2) | 11011001100110 |
| Octal (base 8) | 33146 |
| Hexadecimal (base 16) | 3666 |
| Base 3 | 201002210 |
| As time | 13926 seconds = 3 h 52 min 6 s |
Is 13926 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13926 ÷ 2 = 6963) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13926 ÷ 3 = 4642) | 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 (13926 ÷ 6 = 2321) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 | Yes (13926 ÷ 11 = 1266) | 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 13926 a prime number?
No. 13926 = 2 × 3 × 11 × 211, so it is divisible by 2.
What are the factors of 13926?
1, 2, 3, 6, 11, 22, 33, 66, 211, 422, 633, 1266, 2321, 4642, 6963, 13926.
What is 13926 in binary?
11011001100110 (hexadecimal 3666, octal 33146).
What is the square root of 13926?
About 118.0085.
Is 13926 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13926?
It is a composite number with 16 divisors.