The number 13932
13932 is a composite number with 30 divisors. Its prime factorisation is × × 43. Divisors (30): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 81, 86, 108, 129 … 13932.
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How to work it out
- 1
What is special about 13932: a Harshad number: divisible by its digit sum 18.
- 2
13932 is composite. Its prime factorisation is
- 3
The divisors add up to 37268; without 13932 itself that is 23336, so 13932 is abundant (23336 is more than 13932). Euler's totient φ(13932) = 4536 numbers up to 13932 share no factor with it.
- 4
The digits of 13932 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13932 = 2^{2} \times 3^{4} \times 43 \]13932 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 37268 |
| Euler totient φ(n) | 4536 |
| Square | 194100624 |
| Cube | 2704209893568 |
| Square root | 118.033893 (= 18√43) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3932 × |
13932 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and thirty-two |
| Binary (base 2) | 11011001101100 |
| Octal (base 8) | 33154 |
| Hexadecimal (base 16) | 366C |
| Base 3 | 201010000 |
| As time | 13932 seconds = 3 h 52 min 12 s |
Is 13932 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13932 ÷ 2 = 6966) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13932 ÷ 3 = 4644) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13932 ÷ 4 = 3483) | 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 | Yes (13932 ÷ 6 = 2322) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (13932 ÷ 9 = 1548) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13932 ÷ 12 = 1161) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13932 a prime number?
No. 13932 = × × 43, so it is divisible by 2.
What are the factors of 13932?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 81, 86, 108, 129, 162, 172, 258, 324, 387, 516, 774, 1161, 1548, 2322, 3483, 4644, 6966, 13932.
What is 13932 in binary?
11011001101100 (hexadecimal 366C, octal 33154).
What is the square root of 13932?
About 118.0339, exactly 18√43.
Is 13932 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13932?
13932 is a Harshad number: divisible by its digit sum 18.