The number 14132
14132 is a composite number with 6 divisors. Its prime factorisation is × 3533. Divisors (6): 1, 2, 4, 3533, 7066, 14132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14132: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14132 is composite. Its prime factorisation is
- 3
The divisors add up to 24738; without 14132 itself that is 10606, so 14132 is deficient (10606 is less than 14132). Euler's totient φ(14132) = 7064 numbers up to 14132 share no factor with it.
- 4
The digits of 14132 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14132 = 2^{2} \times 3533 \]14132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 24738 |
| Euler totient φ(n) | 7064 |
| Square | 199713424 |
| Cube | 2822350107968 |
| Square root | 118.878089 (= 2√3533) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.4132 × |
14132 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand one hundred and thirty-two |
| Binary (base 2) | 11011100110100 |
| Octal (base 8) | 33464 |
| Hexadecimal (base 16) | 3734 |
| Base 3 | 201101102 |
| As time | 14132 seconds = 3 h 55 min 32 s |
Is 14132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14132 ÷ 2 = 7066) | 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 (14132 ÷ 4 = 3533) | 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 6) | 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 2) | 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 8) | 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 14132 a prime number?
No. 14132 = × 3533, so it is divisible by 2.
What are the factors of 14132?
1, 2, 4, 3533, 7066, 14132.
What is 14132 in binary?
11011100110100 (hexadecimal 3734, octal 33464).
What is the square root of 14132?
About 118.8781, exactly 2√3533.
Is 14132 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 14132?
14132 is a happy number: repeatedly adding the squares of its digits reaches 1.