The number 10818
10818 is a composite number with 12 divisors. Its prime factorisation is 2 × × 601. Divisors (12): 1, 2, 3, 6, 9, 18, 601, 1202, 1803, 3606, 5409, 10818.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10818: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
10818 is composite. Its prime factorisation is
- 3
The divisors add up to 23478; without 10818 itself that is 12660, so 10818 is abundant (12660 is more than 10818). Euler's totient φ(10818) = 3600 numbers up to 10818 share no factor with it.
- 4
The digits of 10818 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 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10818 = 2 \times 3^{2} \times 601 \]10818 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 23478 |
| Euler totient φ(n) | 3600 |
| Square | 117029124 |
| Cube | 1266021063432 |
| Square root | 104.009615 (= 3√1202) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 117 |
| Scientific notation | 1.0818 × |
10818 in other forms
| Form | Value |
|---|---|
| In words | ten thousand eight hundred and eighteen |
| Binary (base 2) | 10101001000010 |
| Octal (base 8) | 25102 |
| Hexadecimal (base 16) | 2A42 |
| Base 3 | 112211200 |
| As time | 10818 seconds = 3 h 0 min 18 s |
Is 10818 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10818 ÷ 2 = 5409) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10818 ÷ 3 = 3606) | 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 (10818 ÷ 6 = 1803) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (10818 ÷ 9 = 1202) | 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 5) | 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 10818 a prime number?
No. 10818 = 2 × × 601, so it is divisible by 2.
What are the factors of 10818?
1, 2, 3, 6, 9, 18, 601, 1202, 1803, 3606, 5409, 10818.
What is 10818 in binary?
10101001000010 (hexadecimal 2A42, octal 25102).
What is the square root of 10818?
About 104.0096, exactly 3√1202.
Is 10818 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 10818?
10818 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.