The number 8118
8118 is a palindrome: it reads 8118 backwards too. Its prime factorisation is 2 × × 11 × 41. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 22, 33, 41, 66, 82, 99, 123, 198, 246 … 8118.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8118: a palindrome: it reads 8118 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
8118 is composite. Its prime factorisation is
- 3
The divisors add up to 19656; without 8118 itself that is 11538, so 8118 is abundant (11538 is more than 8118). Euler's totient φ(8118) = 2400 numbers up to 8118 share no factor with it.
- 4
The digits of 8118 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8118 = 2 \times 3^{2} \times 11 \times 41 \]8118 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 19656 |
| Euler totient φ(n) | 2400 |
| Square | 65901924 |
| Cube | 534991819032 |
| Square root | 90.099945 (= 3√902) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.118 × |
8118 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and eighteen |
| Binary (base 2) | 1111110110110 |
| Octal (base 8) | 17666 |
| Hexadecimal (base 16) | 1FB6 |
| Base 3 | 102010200 |
| As time | 8118 seconds = 2 h 15 min 18 s |
Is 8118 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8118 ÷ 2 = 4059) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8118 ÷ 3 = 2706) | 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 | Yes (8118 ÷ 6 = 1353) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (8118 ÷ 9 = 902) | 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 | Yes (8118 ÷ 11 = 738) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8118 a prime number?
No. 8118 = 2 × × 11 × 41, so it is divisible by 2.
What are the factors of 8118?
1, 2, 3, 6, 9, 11, 18, 22, 33, 41, 66, 82, 99, 123, 198, 246, 369, 451, 738, 902, 1353, 2706, 4059, 8118.
What is 8118 in binary?
1111110110110 (hexadecimal 1FB6, octal 17666).
What is the square root of 8118?
About 90.0999, exactly 3√902.
Is 8118 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 8118?
8118 is a palindrome: it reads 8118 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.