The number 13792
13792 is a composite number with 12 divisors. Its prime factorisation is × 431. Divisors (12): 1, 2, 4, 8, 16, 32, 431, 862, 1724, 3448, 6896, 13792.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13792 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13792 is composite. Its prime factorisation is
- 3
The divisors add up to 27216; without 13792 itself that is 13424, so 13792 is deficient (13424 is less than 13792). Euler's totient φ(13792) = 6880 numbers up to 13792 share no factor with it.
- 4
The digits of 13792 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13792 = 2^{5} \times 431 \]13792 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 27216 |
| Euler totient φ(n) | 6880 |
| Square | 190219264 |
| Cube | 2623504089088 |
| Square root | 117.439346 (= 4√862) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3792 × |
13792 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and ninety-two |
| Binary (base 2) | 11010111100000 |
| Octal (base 8) | 32740 |
| Hexadecimal (base 16) | 35E0 |
| Base 3 | 200220211 |
| As time | 13792 seconds = 3 h 49 min 52 s |
Is 13792 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13792 ÷ 2 = 6896) | 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 (13792 ÷ 4 = 3448) | 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 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 | Yes (13792 ÷ 8 = 1724) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 9) | 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 13792 a prime number?
No. 13792 = × 431, so it is divisible by 2.
What are the factors of 13792?
1, 2, 4, 8, 16, 32, 431, 862, 1724, 3448, 6896, 13792.
What is 13792 in binary?
11010111100000 (hexadecimal 35E0, octal 32740).
What is the square root of 13792?
About 117.4393, exactly 4√862.
Is 13792 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13792?
It is a composite number with 12 divisors.