The number 13535
13535 is a composite number with 4 divisors. Its prime factorisation is 5 × 2707. Divisors (4): 1, 5, 2707, 13535.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13535: a semiprime: 5 × 2707, the product of two primes.
- 2
13535 is composite. Its prime factorisation is
- 3
The divisors add up to 16248; without 13535 itself that is 2713, so 13535 is deficient (2713 is less than 13535). Euler's totient φ(13535) = 10824 numbers up to 13535 share no factor with it.
- 4
The digits of 13535 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13535 = 5 \times 2707 \]
13535 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 16248 |
| Euler totient φ(n) | 10824 |
| Square | 183196225 |
| Cube | 2479560905375 |
| Square root | 116.340019 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3535 × |
13535 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and thirty-five |
| Binary (base 2) | 11010011011111 |
| Octal (base 8) | 32337 |
| Hexadecimal (base 16) | 34DF |
| Base 3 | 200120022 |
| As time | 13535 seconds = 3 h 45 min 35 s |
Is 13535 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 | No (remainder 2) | 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 (13535 ÷ 5 = 2707) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13535 a prime number?
No. 13535 = 5 × 2707, so it is divisible by 5.
What are the factors of 13535?
1, 5, 2707, 13535.
What is 13535 in binary?
11010011011111 (hexadecimal 34DF, octal 32337).
What is the square root of 13535?
About 116.3400.
Is 13535 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13535?
13535 is a semiprime: 5 × 2707, the product of two primes.