The number 13936
13936 is a composite number with 20 divisors. Its prime factorisation is × 13 × 67. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 67, 104, 134, 208, 268, 536, 871, 1072 … 13936.
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How to work it out
- 1
13936 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13936 is composite. Its prime factorisation is
- 3
The divisors add up to 29512; without 13936 itself that is 15576, so 13936 is abundant (15576 is more than 13936). Euler's totient φ(13936) = 6336 numbers up to 13936 share no factor with it.
- 4
The digits of 13936 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13936 = 2^{4} \times 13 \times 67 \]13936 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 29512 |
| Euler totient φ(n) | 6336 |
| Square | 194212096 |
| Cube | 2706539769856 |
| Square root | 118.050837 (= 4√871) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3936 × |
13936 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and thirty-six |
| Binary (base 2) | 11011001110000 |
| Octal (base 8) | 33160 |
| Hexadecimal (base 16) | 3670 |
| Base 3 | 201010011 |
| As time | 13936 seconds = 3 h 52 min 16 s |
Is 13936 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13936 ÷ 2 = 6968) | 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 | Yes (13936 ÷ 4 = 3484) | 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 | 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 | Yes (13936 ÷ 8 = 1742) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13936 a prime number?
No. 13936 = × 13 × 67, so it is divisible by 2.
What are the factors of 13936?
1, 2, 4, 8, 13, 16, 26, 52, 67, 104, 134, 208, 268, 536, 871, 1072, 1742, 3484, 6968, 13936.
What is 13936 in binary?
11011001110000 (hexadecimal 3670, octal 33160).
What is the square root of 13936?
About 118.0508, exactly 4√871.
Is 13936 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13936?
It is a composite number with 20 divisors.