The number 13791
13791 is a composite number with 4 divisors. Its prime factorisation is 3 × 4597. Divisors (4): 1, 3, 4597, 13791.
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How to work it out
- 1
What is special about 13791: a semiprime: 3 × 4597, the product of two primes.
- 2
13791 is composite. Its prime factorisation is
- 3
The divisors add up to 18392; without 13791 itself that is 4601, so 13791 is deficient (4601 is less than 13791). Euler's totient φ(13791) = 9192 numbers up to 13791 share no factor with it.
- 4
The digits of 13791 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13791 = 3 \times 4597 \]
13791 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 18392 |
| Euler totient φ(n) | 9192 |
| Square | 190191681 |
| Cube | 2622933472671 |
| Square root | 117.435088 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3791 × |
13791 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and ninety-one |
| Binary (base 2) | 11010111011111 |
| Octal (base 8) | 32737 |
| Hexadecimal (base 16) | 35DF |
| Base 3 | 200220210 |
| As time | 13791 seconds = 3 h 49 min 51 s |
Is 13791 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13791 ÷ 3 = 4597) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 1) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13791 a prime number?
No. 13791 = 3 × 4597, so it is divisible by 3.
What are the factors of 13791?
1, 3, 4597, 13791.
What is 13791 in binary?
11010111011111 (hexadecimal 35DF, octal 32737).
What is the square root of 13791?
About 117.4351.
Is 13791 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13791?
13791 is a semiprime: 3 × 4597, the product of two primes.