The number 13793
13793 is a composite number with 4 divisors. Its prime factorisation is 13 × 1061. Divisors (4): 1, 13, 1061, 13793.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13793: a semiprime: 13 × 1061, the product of two primes.
- 2
13793 is composite. Its prime factorisation is
- 3
The divisors add up to 14868; without 13793 itself that is 1075, so 13793 is deficient (1075 is less than 13793). Euler's totient φ(13793) = 12720 numbers up to 13793 share no factor with it.
- 4
The digits of 13793 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13793 = 13 \times 1061 \]
13793 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14868 |
| Euler totient φ(n) | 12720 |
| Square | 190246849 |
| Cube | 2624074788257 |
| Square root | 117.443603 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3793 × |
13793 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and ninety-three |
| Binary (base 2) | 11010111100001 |
| Octal (base 8) | 32741 |
| Hexadecimal (base 16) | 35E1 |
| Base 3 | 200220212 |
| As time | 13793 seconds = 3 h 49 min 53 s |
Is 13793 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13793 a prime number?
No. 13793 = 13 × 1061, so it is divisible by 13.
What are the factors of 13793?
1, 13, 1061, 13793.
What is 13793 in binary?
11010111100001 (hexadecimal 35E1, octal 32741).
What is the square root of 13793?
About 117.4436.
Is 13793 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13793?
13793 is a semiprime: 13 × 1061, the product of two primes.