The number 18210
18210 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 607. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 607, 1214, 1821, 3035, 3642, 6070, 9105, 18210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18210: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18210 is composite. Its prime factorisation is
- 3
The divisors add up to 43776; without 18210 itself that is 25566, so 18210 is abundant (25566 is more than 18210). Euler's totient φ(18210) = 4848 numbers up to 18210 share no factor with it.
- 4
The digits of 18210 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 154 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18210 = 2 \times 3 \times 5 \times 607 \]
18210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 43776 |
| Euler totient φ(n) | 4848 |
| Square | 331604100 |
| Cube | 6038510661000 |
| Square root | 134.944433 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 154 |
| Scientific notation | 1.821 × |
18210 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand two hundred and ten |
| Binary (base 2) | 100011100100010 |
| Octal (base 8) | 43442 |
| Hexadecimal (base 16) | 4722 |
| Base 3 | 220222110 |
| As time | 18210 seconds = 5 h 3 min 30 s |
Is 18210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18210 ÷ 2 = 9105) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18210 ÷ 3 = 6070) | 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 | Yes (18210 ÷ 5 = 3642) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18210 ÷ 6 = 3035) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18210 ÷ 10 = 1821) | 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 18210 a prime number?
No. 18210 = 2 × 3 × 5 × 607, so it is divisible by 2.
What are the factors of 18210?
1, 2, 3, 5, 6, 10, 15, 30, 607, 1214, 1821, 3035, 3642, 6070, 9105, 18210.
What is 18210 in binary?
100011100100010 (hexadecimal 4722, octal 43442).
What is the square root of 18210?
About 134.9444.
Is 18210 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 18210?
18210 is a happy number: repeatedly adding the squares of its digits reaches 1.