The number 13635
13635 is a composite number with 16 divisors. Its prime factorisation is × 5 × 101. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 101, 135, 303, 505, 909, 1515, 2727, 4545, 13635.
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How to work it out
- 1
13635 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13635 is composite. Its prime factorisation is
- 3
The divisors add up to 24480; without 13635 itself that is 10845, so 13635 is deficient (10845 is less than 13635). Euler's totient φ(13635) = 7200 numbers up to 13635 share no factor with it.
- 4
The digits of 13635 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13635 = 3^{3} \times 5 \times 101 \]13635 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 24480 |
| Euler totient φ(n) | 7200 |
| Square | 185913225 |
| Cube | 2534926822875 |
| Square root | 116.769003 (= 3√1515) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3635 × |
13635 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and thirty-five |
| Binary (base 2) | 11010101000011 |
| Octal (base 8) | 32503 |
| Hexadecimal (base 16) | 3543 |
| Base 3 | 200201000 |
| As time | 13635 seconds = 3 h 47 min 15 s |
Is 13635 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13635 ÷ 3 = 4545) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13635 ÷ 5 = 2727) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13635 ÷ 9 = 1515) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13635 a prime number?
No. 13635 = × 5 × 101, so it is divisible by 3.
What are the factors of 13635?
1, 3, 5, 9, 15, 27, 45, 101, 135, 303, 505, 909, 1515, 2727, 4545, 13635.
What is 13635 in binary?
11010101000011 (hexadecimal 3543, octal 32503).
What is the square root of 13635?
About 116.7690, exactly 3√1515.
Is 13635 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13635?
It is a composite number with 16 divisors.