The number 13816
13816 is a composite number with 16 divisors. Its prime factorisation is × 11 × 157. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 157, 314, 628, 1256, 1727, 3454, 6908, 13816.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13816 is composite. Its prime factorisation is
- 3
The divisors add up to 28440; without 13816 itself that is 14624, so 13816 is abundant (14624 is more than 13816). Euler's totient φ(13816) = 6240 numbers up to 13816 share no factor with it.
- 4
The digits of 13816 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13816 = 2^{3} \times 11 \times 157 \]13816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 28440 |
| Euler totient φ(n) | 6240 |
| Square | 190881856 |
| Cube | 2637223722496 |
| Square root | 117.541482 (= 2√3454) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3816 × |
13816 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and sixteen |
| Binary (base 2) | 11010111111000 |
| Octal (base 8) | 32770 |
| Hexadecimal (base 16) | 35F8 |
| Base 3 | 200221201 |
| As time | 13816 seconds = 3 h 50 min 16 s |
Is 13816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13816 ÷ 2 = 6908) | 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 (13816 ÷ 4 = 3454) | 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 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 | Yes (13816 ÷ 8 = 1727) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 (13816 ÷ 11 = 1256) | 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 13816 a prime number?
No. 13816 = × 11 × 157, so it is divisible by 2.
What are the factors of 13816?
1, 2, 4, 8, 11, 22, 44, 88, 157, 314, 628, 1256, 1727, 3454, 6908, 13816.
What is 13816 in binary?
11010111111000 (hexadecimal 35F8, octal 32770).
What is the square root of 13816?
About 117.5415, exactly 2√3454.
Is 13816 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13816?
It is a composite number with 16 divisors.