The number 18130
18130 is a composite number with 24 divisors. Its prime factorisation is 2 × 5 × × 37. Divisors (24): 1, 2, 5, 7, 10, 14, 35, 37, 49, 70, 74, 98, 185, 245, 259, 370 … 18130.
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How to work it out
- 1
18130 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18130 is composite. Its prime factorisation is
- 3
The divisors add up to 38988; without 18130 itself that is 20858, so 18130 is abundant (20858 is more than 18130). Euler's totient φ(18130) = 6048 numbers up to 18130 share no factor with it.
- 4
The digits of 18130 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18130 = 2 \times 5 \times 7^{2} \times 37 \]18130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 38988 |
| Euler totient φ(n) | 6048 |
| Square | 328696900 |
| Cube | 5959274797000 |
| Square root | 134.647688 (= 7√370) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 123 |
| Scientific notation | 1.813 × |
18130 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and thirty |
| Binary (base 2) | 100011011010010 |
| Octal (base 8) | 43322 |
| Hexadecimal (base 16) | 46D2 |
| Base 3 | 220212111 |
| As time | 18130 seconds = 5 h 2 min 10 s |
Is 18130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18130 ÷ 2 = 9065) | 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 (18130 ÷ 5 = 3626) | 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 | Yes (18130 ÷ 7 = 2590) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18130 ÷ 10 = 1813) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 18130 a prime number?
No. 18130 = 2 × 5 × × 37, so it is divisible by 2.
What are the factors of 18130?
1, 2, 5, 7, 10, 14, 35, 37, 49, 70, 74, 98, 185, 245, 259, 370, 490, 518, 1295, 1813, 2590, 3626, 9065, 18130.
What is 18130 in binary?
100011011010010 (hexadecimal 46D2, octal 43322).
What is the square root of 18130?
About 134.6477, exactly 7√370.
Is 18130 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 18130?
It is a composite number with 24 divisors.