The number 13527
13527 is a composite number with 10 divisors. Its prime factorisation is × 167. Divisors (10): 1, 3, 9, 27, 81, 167, 501, 1503, 4509, 13527.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13527 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13527 is composite. Its prime factorisation is
- 3
The divisors add up to 20328; without 13527 itself that is 6801, so 13527 is deficient (6801 is less than 13527). Euler's totient φ(13527) = 8964 numbers up to 13527 share no factor with it.
- 4
The digits of 13527 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13527 = 3^{4} \times 167 \]13527 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 20328 |
| Euler totient φ(n) | 8964 |
| Square | 182979729 |
| Cube | 2475166794183 |
| Square root | 116.305632 (= 9√167) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.3527 × |
13527 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and twenty-seven |
| Binary (base 2) | 11010011010111 |
| Octal (base 8) | 32327 |
| Hexadecimal (base 16) | 34D7 |
| Base 3 | 200120000 |
| As time | 13527 seconds = 3 h 45 min 27 s |
Is 13527 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 (13527 ÷ 3 = 4509) | 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 | No (remainder 2) | 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 3) | 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 | Yes (13527 ÷ 9 = 1503) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 13527 a prime number?
No. 13527 = × 167, so it is divisible by 3.
What are the factors of 13527?
1, 3, 9, 27, 81, 167, 501, 1503, 4509, 13527.
What is 13527 in binary?
11010011010111 (hexadecimal 34D7, octal 32327).
What is the square root of 13527?
About 116.3056, exactly 9√167.
Is 13527 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13527?
It is a composite number with 10 divisors.