The number 13529
13529 is a composite number with 4 divisors. Its prime factorisation is 83 × 163. Divisors (4): 1, 83, 163, 13529.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13529: a semiprime: 83 × 163, the product of two primes.
- 2
13529 is composite. Its prime factorisation is
- 3
The divisors add up to 13776; without 13529 itself that is 247, so 13529 is deficient (247 is less than 13529). Euler's totient φ(13529) = 13284 numbers up to 13529 share no factor with it.
- 4
The digits of 13529 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13529 = 83 \times 163 \]
13529 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13776 |
| Euler totient φ(n) | 13284 |
| Square | 183033841 |
| Cube | 2476264834889 |
| Square root | 116.314230 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.3529 × |
13529 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and twenty-nine |
| Binary (base 2) | 11010011011001 |
| Octal (base 8) | 32331 |
| Hexadecimal (base 16) | 34D9 |
| Base 3 | 200120002 |
| As time | 13529 seconds = 3 h 45 min 29 s |
Is 13529 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 1) | 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 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13529 a prime number?
No. 13529 = 83 × 163, so it is divisible by 83.
What are the factors of 13529?
1, 83, 163, 13529.
What is 13529 in binary?
11010011011001 (hexadecimal 34D9, octal 32331).
What is the square root of 13529?
About 116.3142.
Is 13529 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13529?
13529 is a semiprime: 83 × 163, the product of two primes.