The number 11713
11713 is a composite number with 8 divisors. Its prime factorisation is 13 × 17 × 53. Divisors (8): 1, 13, 17, 53, 221, 689, 901, 11713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11713: a Harshad number: divisible by its digit sum 13.
- 2
11713 is composite. Its prime factorisation is
- 3
The divisors add up to 13608; without 11713 itself that is 1895, so 11713 is deficient (1895 is less than 11713). Euler's totient φ(11713) = 9984 numbers up to 11713 share no factor with it.
- 4
The digits of 11713 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11713 = 13 \times 17 \times 53 \]
11713 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13608 |
| Euler totient φ(n) | 9984 |
| Square | 137194369 |
| Cube | 1606957644097 |
| Square root | 108.226614 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 143 |
| Scientific notation | 1.1713 × |
11713 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred and thirteen |
| Binary (base 2) | 10110111000001 |
| Octal (base 8) | 26701 |
| Hexadecimal (base 16) | 2DC1 |
| Base 3 | 121001211 |
| As time | 11713 seconds = 3 h 15 min 13 s |
Is 11713 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 1) | 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 1) | 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 | No (remainder 1) | 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 3) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11713 a prime number?
No. 11713 = 13 × 17 × 53, so it is divisible by 13.
What are the factors of 11713?
1, 13, 17, 53, 221, 689, 901, 11713.
What is 11713 in binary?
10110111000001 (hexadecimal 2DC1, octal 26701).
What is the square root of 11713?
About 108.2266.
Is 11713 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 11713?
11713 is a Harshad number: divisible by its digit sum 13.