The number 13638
13638 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2273. Divisors (8): 1, 2, 3, 6, 2273, 4546, 6819, 13638.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13638 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13638 is composite. Its prime factorisation is
- 3
The divisors add up to 27288; without 13638 itself that is 13650, so 13638 is abundant (13650 is more than 13638). Euler's totient φ(13638) = 4544 numbers up to 13638 share no factor with it.
- 4
The digits of 13638 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13638 = 2 \times 3 \times 2273 \]
13638 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 27288 |
| Euler totient φ(n) | 4544 |
| Square | 185995044 |
| Cube | 2536600410072 |
| Square root | 116.781848 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3638 × |
13638 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and thirty-eight |
| Binary (base 2) | 11010101000110 |
| Octal (base 8) | 32506 |
| Hexadecimal (base 16) | 3546 |
| Base 3 | 200201010 |
| As time | 13638 seconds = 3 h 47 min 18 s |
Is 13638 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13638 ÷ 2 = 6819) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13638 ÷ 3 = 4546) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13638 ÷ 6 = 2273) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13638 a prime number?
No. 13638 = 2 × 3 × 2273, so it is divisible by 2.
What are the factors of 13638?
1, 2, 3, 6, 2273, 4546, 6819, 13638.
What is 13638 in binary?
11010101000110 (hexadecimal 3546, octal 32506).
What is the square root of 13638?
About 116.7818.
Is 13638 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13638?
It is a composite number with 8 divisors.