The number 18183
18183 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 19 × 29. Divisors (16): 1, 3, 11, 19, 29, 33, 57, 87, 209, 319, 551, 627, 957, 1653, 6061, 18183.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18183: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18183 is composite. Its prime factorisation is
- 3
The divisors add up to 28800; without 18183 itself that is 10617, so 18183 is deficient (10617 is less than 18183). Euler's totient φ(18183) = 10080 numbers up to 18183 share no factor with it.
- 4
The digits of 18183 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 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18183 = 3 \times 11 \times 19 \times 29 \]
18183 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 28800 |
| Euler totient φ(n) | 10080 |
| Square | 330621489 |
| Cube | 6011690534487 |
| Square root | 134.844355 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.8183 × |
18183 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and eighty-three |
| Binary (base 2) | 100011100000111 |
| Octal (base 8) | 43407 |
| Hexadecimal (base 16) | 4707 |
| Base 3 | 220221110 |
| As time | 18183 seconds = 5 h 3 min 3 s |
Is 18183 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18183 ÷ 3 = 6061) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (18183 ÷ 11 = 1653) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18183 a prime number?
No. 18183 = 3 × 11 × 19 × 29, so it is divisible by 3.
What are the factors of 18183?
1, 3, 11, 19, 29, 33, 57, 87, 209, 319, 551, 627, 957, 1653, 6061, 18183.
What is 18183 in binary?
100011100000111 (hexadecimal 4707, octal 43407).
What is the square root of 18183?
About 134.8444.
Is 18183 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 18183?
18183 is a happy number: repeatedly adding the squares of its digits reaches 1.