The number 18126
18126 is a composite number with 24 divisors. Its prime factorisation is 2 × × 19 × 53. Divisors (24): 1, 2, 3, 6, 9, 18, 19, 38, 53, 57, 106, 114, 159, 171, 318, 342 … 18126.
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How to work it out
- 1
What is special about 18126: a Harshad number: divisible by its digit sum 18.
- 2
18126 is composite. Its prime factorisation is
- 3
The divisors add up to 42120; without 18126 itself that is 23994, so 18126 is abundant (23994 is more than 18126). Euler's totient φ(18126) = 5616 numbers up to 18126 share no factor with it.
- 4
The digits of 18126 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 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18126 = 2 \times 3^{2} \times 19 \times 53 \]18126 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 42120 |
| Euler totient φ(n) | 5616 |
| Square | 328551876 |
| Cube | 5955331304376 |
| Square root | 134.632834 (= 3√2014) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 92 |
| Scientific notation | 1.8126 × |
18126 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and twenty-six |
| Binary (base 2) | 100011011001110 |
| Octal (base 8) | 43316 |
| Hexadecimal (base 16) | 46CE |
| Base 3 | 220212100 |
| As time | 18126 seconds = 5 h 2 min 6 s |
Is 18126 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18126 ÷ 2 = 9063) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18126 ÷ 3 = 6042) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18126 ÷ 6 = 3021) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (18126 ÷ 9 = 2014) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 18126 a prime number?
No. 18126 = 2 × × 19 × 53, so it is divisible by 2.
What are the factors of 18126?
1, 2, 3, 6, 9, 18, 19, 38, 53, 57, 106, 114, 159, 171, 318, 342, 477, 954, 1007, 2014, 3021, 6042, 9063, 18126.
What is 18126 in binary?
100011011001110 (hexadecimal 46CE, octal 43316).
What is the square root of 18126?
About 134.6328, exactly 3√2014.
Is 18126 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 18126?
18126 is a Harshad number: divisible by its digit sum 18.