The number 13532
13532 is a composite number with 12 divisors. Its prime factorisation is × 17 × 199. Divisors (12): 1, 2, 4, 17, 34, 68, 199, 398, 796, 3383, 6766, 13532.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13532 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13532 is composite. Its prime factorisation is
- 3
The divisors add up to 25200; without 13532 itself that is 11668, so 13532 is deficient (11668 is less than 13532). Euler's totient φ(13532) = 6336 numbers up to 13532 share no factor with it.
- 4
The digits of 13532 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13532 = 2^{2} \times 17 \times 199 \]13532 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25200 |
| Euler totient φ(n) | 6336 |
| Square | 183115024 |
| Cube | 2477912504768 |
| Square root | 116.327125 (= 2√3383) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3532 × |
13532 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and thirty-two |
| Binary (base 2) | 11010011011100 |
| Octal (base 8) | 32334 |
| Hexadecimal (base 16) | 34DC |
| Base 3 | 200120012 |
| As time | 13532 seconds = 3 h 45 min 32 s |
Is 13532 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13532 ÷ 2 = 6766) | 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 | Yes (13532 ÷ 4 = 3383) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13532 a prime number?
No. 13532 = × 17 × 199, so it is divisible by 2.
What are the factors of 13532?
1, 2, 4, 17, 34, 68, 199, 398, 796, 3383, 6766, 13532.
What is 13532 in binary?
11010011011100 (hexadecimal 34DC, octal 32334).
What is the square root of 13532?
About 116.3271, exactly 2√3383.
Is 13532 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13532?
It is a composite number with 12 divisors.