The number 13616
13616 is a composite number with 20 divisors. Its prime factorisation is × 23 × 37. Divisors (20): 1, 2, 4, 8, 16, 23, 37, 46, 74, 92, 148, 184, 296, 368, 592, 851 … 13616.
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How to work it out
- 1
13616 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13616 is composite. Its prime factorisation is
- 3
The divisors add up to 28272; without 13616 itself that is 14656, so 13616 is abundant (14656 is more than 13616). Euler's totient φ(13616) = 6336 numbers up to 13616 share no factor with it.
- 4
The digits of 13616 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13616 = 2^{4} \times 23 \times 37 \]13616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 28272 |
| Euler totient φ(n) | 6336 |
| Square | 185395456 |
| Cube | 2524344528896 |
| Square root | 116.687617 (= 4√851) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3616 × |
13616 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and sixteen |
| Binary (base 2) | 11010100110000 |
| Octal (base 8) | 32460 |
| Hexadecimal (base 16) | 3530 |
| Base 3 | 200200022 |
| As time | 13616 seconds = 3 h 46 min 56 s |
Is 13616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13616 ÷ 2 = 6808) | 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 (13616 ÷ 4 = 3404) | 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 | No (remainder 1) | 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 (13616 ÷ 8 = 1702) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 9) | 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 13616 a prime number?
No. 13616 = × 23 × 37, so it is divisible by 2.
What are the factors of 13616?
1, 2, 4, 8, 16, 23, 37, 46, 74, 92, 148, 184, 296, 368, 592, 851, 1702, 3404, 6808, 13616.
What is 13616 in binary?
11010100110000 (hexadecimal 3530, octal 32460).
What is the square root of 13616?
About 116.6876, exactly 4√851.
Is 13616 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13616?
It is a composite number with 20 divisors.