The number 13118
13118 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 937. Divisors (8): 1, 2, 7, 14, 937, 1874, 6559, 13118.
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How to work it out
- 1
What is special about 13118: a Harshad number: divisible by its digit sum 14.
- 2
13118 is composite. Its prime factorisation is
- 3
The divisors add up to 22512; without 13118 itself that is 9394, so 13118 is deficient (9394 is less than 13118). Euler's totient φ(13118) = 5616 numbers up to 13118 share no factor with it.
- 4
The digits of 13118 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13118 = 2 \times 7 \times 937 \]
13118 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 22512 |
| Euler totient φ(n) | 5616 |
| Square | 172081924 |
| Cube | 2257370679032 |
| Square root | 114.533838 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.3118 × |
13118 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and eighteen |
| Binary (base 2) | 11001100111110 |
| Octal (base 8) | 31476 |
| Hexadecimal (base 16) | 333E |
| Base 3 | 122222212 |
| As time | 13118 seconds = 3 h 38 min 38 s |
Is 13118 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13118 ÷ 2 = 6559) | 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 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13118 ÷ 7 = 1874) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13118 a prime number?
No. 13118 = 2 × 7 × 937, so it is divisible by 2.
What are the factors of 13118?
1, 2, 7, 14, 937, 1874, 6559, 13118.
What is 13118 in binary?
11001100111110 (hexadecimal 333E, octal 31476).
What is the square root of 13118?
About 114.5338.
Is 13118 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13118?
13118 is a Harshad number: divisible by its digit sum 14.