The number 2118
2118 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 353. Divisors (8): 1, 2, 3, 6, 353, 706, 1059, 2118.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2118: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
2118 is composite. Its prime factorisation is
- 3
The divisors add up to 4248; without 2118 itself that is 2130, so 2118 is abundant (2130 is more than 2118). Euler's totient φ(2118) = 704 numbers up to 2118 share no factor with it.
- 4
The digits of 2118 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2118 = 2 \times 3 \times 353 \]
2118 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4248 |
| Euler totient φ(n) | 704 |
| Square | 4485924 |
| Cube | 9501187032 |
| Square root | 46.021734 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 32 |
| Scientific notation | 2.118 × |
2118 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and eighteen |
| Roman numerals | MMCXVIII |
| Binary (base 2) | 100001000110 |
| Octal (base 8) | 4106 |
| Hexadecimal (base 16) | 846 |
| Base 3 | 2220110 |
| As time | 2118 seconds = 35 min 18 s |
Is 2118 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2118 ÷ 2 = 1059) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2118 ÷ 3 = 706) | 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 (2118 ÷ 6 = 353) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2118 a prime number?
No. 2118 = 2 × 3 × 353, so it is divisible by 2.
What are the factors of 2118?
1, 2, 3, 6, 353, 706, 1059, 2118.
What is 2118 in binary?
100001000110 (hexadecimal 846, octal 4106).
What is the square root of 2118?
About 46.0217.
What is 2118 in Roman numerals?
MMCXVIII.
Is 2118 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 2118?
2118 is a happy number: repeatedly adding the squares of its digits reaches 1.