The number 20118
20118 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 479. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 479, 958, 1437, 2874, 3353, 6706, 10059, 20118.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20118: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
20118 is composite. Its prime factorisation is
- 3
The divisors add up to 46080; without 20118 itself that is 25962, so 20118 is abundant (25962 is more than 20118). Euler's totient φ(20118) = 5736 numbers up to 20118 share no factor with it.
- 4
The digits of 20118 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 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20118 = 2 \times 3 \times 7 \times 479 \]
20118 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 46080 |
| Euler totient φ(n) | 5736 |
| Square | 404733924 |
| Cube | 8142437083032 |
| Square root | 141.837936 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 136 |
| Scientific notation | 2.0118 × |
20118 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand one hundred and eighteen |
| Binary (base 2) | 100111010010110 |
| Octal (base 8) | 47226 |
| Hexadecimal (base 16) | 4E96 |
| Base 3 | 1000121010 |
| As time | 20118 seconds = 5 h 35 min 18 s |
Is 20118 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20118 ÷ 2 = 10059) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20118 ÷ 3 = 6706) | 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 (20118 ÷ 6 = 3353) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (20118 ÷ 7 = 2874) | 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 10) | 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 20118 a prime number?
No. 20118 = 2 × 3 × 7 × 479, so it is divisible by 2.
What are the factors of 20118?
1, 2, 3, 6, 7, 14, 21, 42, 479, 958, 1437, 2874, 3353, 6706, 10059, 20118.
What is 20118 in binary?
100111010010110 (hexadecimal 4E96, octal 47226).
What is the square root of 20118?
About 141.8379.
Is 20118 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 20118?
20118 is a happy number: repeatedly adding the squares of its digits reaches 1.