The number 13614
13614 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2269. Divisors (8): 1, 2, 3, 6, 2269, 4538, 6807, 13614.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13614 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13614 is composite. Its prime factorisation is
- 3
The divisors add up to 27240; without 13614 itself that is 13626, so 13614 is abundant (13626 is more than 13614). Euler's totient φ(13614) = 4536 numbers up to 13614 share no factor with it.
- 4
The digits of 13614 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13614 = 2 \times 3 \times 2269 \]
13614 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 27240 |
| Euler totient φ(n) | 4536 |
| Square | 185340996 |
| Cube | 2523232319544 |
| Square root | 116.679047 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3614 × |
13614 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and fourteen |
| Binary (base 2) | 11010100101110 |
| Octal (base 8) | 32456 |
| Hexadecimal (base 16) | 352E |
| Base 3 | 200200020 |
| As time | 13614 seconds = 3 h 46 min 54 s |
Is 13614 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13614 ÷ 2 = 6807) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13614 ÷ 3 = 4538) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13614 ÷ 6 = 2269) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 13614 a prime number?
No. 13614 = 2 × 3 × 2269, so it is divisible by 2.
What are the factors of 13614?
1, 2, 3, 6, 2269, 4538, 6807, 13614.
What is 13614 in binary?
11010100101110 (hexadecimal 352E, octal 32456).
What is the square root of 13614?
About 116.6790.
Is 13614 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13614?
It is a composite number with 8 divisors.