The number 18010
18010 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 1801. Divisors (8): 1, 2, 5, 10, 1801, 3602, 9005, 18010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18010: a Harshad number: divisible by its digit sum 10.
- 2
18010 is composite. Its prime factorisation is
- 3
The divisors add up to 32436; without 18010 itself that is 14426, so 18010 is deficient (14426 is less than 18010). Euler's totient φ(18010) = 7200 numbers up to 18010 share no factor with it.
- 4
The digits of 18010 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18010 = 2 \times 5 \times 1801 \]
18010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32436 |
| Euler totient φ(n) | 7200 |
| Square | 324360100 |
| Cube | 5841725401000 |
| Square root | 134.201341 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.801 × |
18010 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and ten |
| Binary (base 2) | 100011001011010 |
| Octal (base 8) | 43132 |
| Hexadecimal (base 16) | 465A |
| Base 3 | 220201001 |
| As time | 18010 seconds = 5 h 0 min 10 s |
Is 18010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18010 ÷ 2 = 9005) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (18010 ÷ 5 = 3602) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18010 ÷ 10 = 1801) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18010 a prime number?
No. 18010 = 2 × 5 × 1801, so it is divisible by 2.
What are the factors of 18010?
1, 2, 5, 10, 1801, 3602, 9005, 18010.
What is 18010 in binary?
100011001011010 (hexadecimal 465A, octal 43132).
What is the square root of 18010?
About 134.2013.
Is 18010 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 18010?
18010 is a Harshad number: divisible by its digit sum 10.