The number 10218
10218 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 131. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 131, 262, 393, 786, 1703, 3406, 5109, 10218.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10218: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
10218 is composite. Its prime factorisation is
- 3
The divisors add up to 22176; without 10218 itself that is 11958, so 10218 is abundant (11958 is more than 10218). Euler's totient φ(10218) = 3120 numbers up to 10218 share no factor with it.
- 4
The digits of 10218 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10218 = 2 \times 3 \times 13 \times 131 \]
10218 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 22176 |
| Euler totient φ(n) | 3120 |
| Square | 104407524 |
| Cube | 1066836080232 |
| Square root | 101.084123 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 1.0218 × |
10218 in other forms
| Form | Value |
|---|---|
| In words | ten thousand two hundred and eighteen |
| Binary (base 2) | 10011111101010 |
| Octal (base 8) | 23752 |
| Hexadecimal (base 16) | 27EA |
| Base 3 | 112000110 |
| As time | 10218 seconds = 2 h 50 min 18 s |
Is 10218 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10218 ÷ 2 = 5109) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10218 ÷ 3 = 3406) | 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 (10218 ÷ 6 = 1703) | 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 2) | 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 10218 a prime number?
No. 10218 = 2 × 3 × 13 × 131, so it is divisible by 2.
What are the factors of 10218?
1, 2, 3, 6, 13, 26, 39, 78, 131, 262, 393, 786, 1703, 3406, 5109, 10218.
What is 10218 in binary?
10011111101010 (hexadecimal 27EA, octal 23752).
What is the square root of 10218?
About 101.0841.
Is 10218 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 10218?
10218 is a happy number: repeatedly adding the squares of its digits reaches 1.