The number 18138
18138 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 3023. Divisors (8): 1, 2, 3, 6, 3023, 6046, 9069, 18138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18138: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18138 is composite. Its prime factorisation is
- 3
The divisors add up to 36288; without 18138 itself that is 18150, so 18138 is abundant (18150 is more than 18138). Euler's totient φ(18138) = 6044 numbers up to 18138 share no factor with it.
- 4
The digits of 18138 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18138 = 2 \times 3 \times 3023 \]
18138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 36288 |
| Euler totient φ(n) | 6044 |
| Square | 328987044 |
| Cube | 5967167004072 |
| Square root | 134.677392 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 92 |
| Scientific notation | 1.8138 × |
18138 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and thirty-eight |
| Binary (base 2) | 100011011011010 |
| Octal (base 8) | 43332 |
| Hexadecimal (base 16) | 46DA |
| Base 3 | 220212210 |
| As time | 18138 seconds = 5 h 2 min 18 s |
Is 18138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18138 ÷ 2 = 9069) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18138 ÷ 3 = 6046) | 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 (18138 ÷ 6 = 3023) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 18138 a prime number?
No. 18138 = 2 × 3 × 3023, so it is divisible by 2.
What are the factors of 18138?
1, 2, 3, 6, 3023, 6046, 9069, 18138.
What is 18138 in binary?
100011011011010 (hexadecimal 46DA, octal 43332).
What is the square root of 18138?
About 134.6774.
Is 18138 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 18138?
18138 is a happy number: repeatedly adding the squares of its digits reaches 1.