The number 13782
13782 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2297. Divisors (8): 1, 2, 3, 6, 2297, 4594, 6891, 13782.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13782 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13782 is composite. Its prime factorisation is
- 3
The divisors add up to 27576; without 13782 itself that is 13794, so 13782 is abundant (13794 is more than 13782). Euler's totient φ(13782) = 4592 numbers up to 13782 share no factor with it.
- 4
The digits of 13782 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13782 = 2 \times 3 \times 2297 \]
13782 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 27576 |
| Euler totient φ(n) | 4592 |
| Square | 189943524 |
| Cube | 2617801647768 |
| Square root | 117.396763 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3782 × |
13782 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and eighty-two |
| Binary (base 2) | 11010111010110 |
| Octal (base 8) | 32726 |
| Hexadecimal (base 16) | 35D6 |
| Base 3 | 200220110 |
| As time | 13782 seconds = 3 h 49 min 42 s |
Is 13782 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13782 ÷ 2 = 6891) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13782 ÷ 3 = 4594) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (13782 ÷ 6 = 2297) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13782 a prime number?
No. 13782 = 2 × 3 × 2297, so it is divisible by 2.
What are the factors of 13782?
1, 2, 3, 6, 2297, 4594, 6891, 13782.
What is 13782 in binary?
11010111010110 (hexadecimal 35D6, octal 32726).
What is the square root of 13782?
About 117.3968.
Is 13782 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13782?
It is a composite number with 8 divisors.