The number 13117
13117 is a composite number with 4 divisors. Its prime factorisation is 13 × 1009. Divisors (4): 1, 13, 1009, 13117.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13117: a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 1009, the product of two primes.
- 2
13117 is composite. Its prime factorisation is
- 3
The divisors add up to 14140; without 13117 itself that is 1023, so 13117 is deficient (1023 is less than 13117). Euler's totient φ(13117) = 12096 numbers up to 13117 share no factor with it.
- 4
The digits of 13117 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13117 = 13 \times 1009 \]
13117 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14140 |
| Euler totient φ(n) | 12096 |
| Square | 172055689 |
| Cube | 2256854472613 |
| Square root | 114.529472 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3117 × |
13117 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and seventeen |
| Binary (base 2) | 11001100111101 |
| Octal (base 8) | 31475 |
| Hexadecimal (base 16) | 333D |
| Base 3 | 122222211 |
| As time | 13117 seconds = 3 h 38 min 37 s |
Is 13117 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 2) | 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 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 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 13117 a prime number?
No. 13117 = 13 × 1009, so it is divisible by 13.
What are the factors of 13117?
1, 13, 1009, 13117.
What is 13117 in binary?
11001100111101 (hexadecimal 333D, octal 31475).
What is the square root of 13117?
About 114.5295.
Is 13117 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13117?
13117 is a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 1009, the product of two primes.