The number 18231
18231 is a composite number with 8 divisors. Its prime factorisation is 3 × 59 × 103. Divisors (8): 1, 3, 59, 103, 177, 309, 6077, 18231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18231: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18231 is composite. Its prime factorisation is
- 3
The divisors add up to 24960; without 18231 itself that is 6729, so 18231 is deficient (6729 is less than 18231). Euler's totient φ(18231) = 11832 numbers up to 18231 share no factor with it.
- 4
The digits of 18231 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 154 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18231 = 3 \times 59 \times 103 \]
18231 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24960 |
| Euler totient φ(n) | 11832 |
| Square | 332369361 |
| Cube | 6059425820391 |
| Square root | 135.022220 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 154 |
| Scientific notation | 1.8231 × |
18231 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand two hundred and thirty-one |
| Binary (base 2) | 100011100110111 |
| Octal (base 8) | 43467 |
| Hexadecimal (base 16) | 4737 |
| Base 3 | 221000020 |
| As time | 18231 seconds = 5 h 3 min 51 s |
Is 18231 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 (18231 ÷ 3 = 6077) | 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 1) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 18231 a prime number?
No. 18231 = 3 × 59 × 103, so it is divisible by 3.
What are the factors of 18231?
1, 3, 59, 103, 177, 309, 6077, 18231.
What is 18231 in binary?
100011100110111 (hexadecimal 4737, octal 43467).
What is the square root of 18231?
About 135.0222.
Is 18231 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 18231?
18231 is a happy number: repeatedly adding the squares of its digits reaches 1.