The number 13916
13916 is a composite number with 18 divisors. Its prime factorisation is × × 71. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 71, 98, 142, 196, 284, 497, 994, 1988, 3479 … 13916.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13916 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13916 is composite. Its prime factorisation is
- 3
The divisors add up to 28728; without 13916 itself that is 14812, so 13916 is abundant (14812 is more than 13916). Euler's totient φ(13916) = 5880 numbers up to 13916 share no factor with it.
- 4
The digits of 13916 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13916 = 2^{2} \times 7^{2} \times 71 \]13916 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 28728 |
| Euler totient φ(n) | 5880 |
| Square | 193655056 |
| Cube | 2694903759296 |
| Square root | 117.966097 (= 14√71) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3916 × |
13916 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and sixteen |
| Binary (base 2) | 11011001011100 |
| Octal (base 8) | 33134 |
| Hexadecimal (base 16) | 365C |
| Base 3 | 201002102 |
| As time | 13916 seconds = 3 h 51 min 56 s |
Is 13916 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13916 ÷ 2 = 6958) | 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 | Yes (13916 ÷ 4 = 3479) | 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 | Yes (13916 ÷ 7 = 1988) | 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 4) | 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 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13916 a prime number?
No. 13916 = × × 71, so it is divisible by 2.
What are the factors of 13916?
1, 2, 4, 7, 14, 28, 49, 71, 98, 142, 196, 284, 497, 994, 1988, 3479, 6958, 13916.
What is 13916 in binary?
11011001011100 (hexadecimal 365C, octal 33134).
What is the square root of 13916?
About 117.9661, exactly 14√71.
Is 13916 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13916?
It is a composite number with 18 divisors.