The number 18116
18116 is a composite number with 12 divisors. Its prime factorisation is × 7 × 647. Divisors (12): 1, 2, 4, 7, 14, 28, 647, 1294, 2588, 4529, 9058, 18116.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18116: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18116 is composite. Its prime factorisation is
- 3
The divisors add up to 36288; without 18116 itself that is 18172, so 18116 is abundant (18172 is more than 18116). Euler's totient φ(18116) = 7752 numbers up to 18116 share no factor with it.
- 4
The digits of 18116 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18116 = 2^{2} \times 7 \times 647 \]18116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 36288 |
| Euler totient φ(n) | 7752 |
| Square | 328189456 |
| Cube | 5945480184896 |
| Square root | 134.595691 (= 2√4529) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.8116 × |
18116 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and sixteen |
| Binary (base 2) | 100011011000100 |
| Octal (base 8) | 43304 |
| Hexadecimal (base 16) | 46C4 |
| Base 3 | 220211222 |
| As time | 18116 seconds = 5 h 1 min 56 s |
Is 18116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18116 ÷ 2 = 9058) | 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 | Yes (18116 ÷ 4 = 4529) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (18116 ÷ 7 = 2588) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18116 a prime number?
No. 18116 = × 7 × 647, so it is divisible by 2.
What are the factors of 18116?
1, 2, 4, 7, 14, 28, 647, 1294, 2588, 4529, 9058, 18116.
What is 18116 in binary?
100011011000100 (hexadecimal 46C4, octal 43304).
What is the square root of 18116?
About 134.5957, exactly 2√4529.
Is 18116 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 18116?
18116 is a happy number: repeatedly adding the squares of its digits reaches 1.