The number 13732
13732 is a composite number with 6 divisors. Its prime factorisation is × 3433. Divisors (6): 1, 2, 4, 3433, 6866, 13732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13732 is composite. Its prime factorisation is
- 3
The divisors add up to 24038; without 13732 itself that is 10306, so 13732 is deficient (10306 is less than 13732). Euler's totient φ(13732) = 6864 numbers up to 13732 share no factor with it.
- 4
The digits of 13732 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13732 = 2^{2} \times 3433 \]13732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 24038 |
| Euler totient φ(n) | 6864 |
| Square | 188567824 |
| Cube | 2589413359168 |
| Square root | 117.183617 (= 2√3433) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3732 × |
13732 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and thirty-two |
| Binary (base 2) | 11010110100100 |
| Octal (base 8) | 32644 |
| Hexadecimal (base 16) | 35A4 |
| Base 3 | 200211121 |
| As time | 13732 seconds = 3 h 48 min 52 s |
Is 13732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13732 ÷ 2 = 6866) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13732 ÷ 4 = 3433) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13732 a prime number?
No. 13732 = × 3433, so it is divisible by 2.
What are the factors of 13732?
1, 2, 4, 3433, 6866, 13732.
What is 13732 in binary?
11010110100100 (hexadecimal 35A4, octal 32644).
What is the square root of 13732?
About 117.1836, exactly 2√3433.
Is 13732 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13732?
It is a composite number with 6 divisors.