The number 18249
18249 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 11 × 79. Divisors (16): 1, 3, 7, 11, 21, 33, 77, 79, 231, 237, 553, 869, 1659, 2607, 6083, 18249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18249 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18249 is composite. Its prime factorisation is
- 3
The divisors add up to 30720; without 18249 itself that is 12471, so 18249 is deficient (12471 is less than 18249). Euler's totient φ(18249) = 9360 numbers up to 18249 share no factor with it.
- 4
The digits of 18249 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18249 = 3 \times 7 \times 11 \times 79 \]
18249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 30720 |
| Euler totient φ(n) | 9360 |
| Square | 333026001 |
| Cube | 6077391492249 |
| Square root | 135.088860 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.8249 × |
18249 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand two hundred and forty-nine |
| Binary (base 2) | 100011101001001 |
| Octal (base 8) | 43511 |
| Hexadecimal (base 16) | 4749 |
| Base 3 | 221000220 |
| As time | 18249 seconds = 5 h 4 min 9 s |
Is 18249 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 (18249 ÷ 3 = 6083) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (18249 ÷ 7 = 2607) | 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (18249 ÷ 11 = 1659) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18249 a prime number?
No. 18249 = 3 × 7 × 11 × 79, so it is divisible by 3.
What are the factors of 18249?
1, 3, 7, 11, 21, 33, 77, 79, 231, 237, 553, 869, 1659, 2607, 6083, 18249.
What is 18249 in binary?
100011101001001 (hexadecimal 4749, octal 43511).
What is the square root of 18249?
About 135.0889.
Is 18249 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 18249?
It is a composite number with 16 divisors.