The number 18849
18849 is a composite number with 8 divisors. Its prime factorisation is 3 × 61 × 103. Divisors (8): 1, 3, 61, 103, 183, 309, 6283, 18849.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18849: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18849 is composite. Its prime factorisation is
- 3
The divisors add up to 25792; without 18849 itself that is 6943, so 18849 is deficient (6943 is less than 18849). Euler's totient φ(18849) = 12240 numbers up to 18849 share no factor with it.
- 4
The digits of 18849 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18849 = 3 \times 61 \times 103 \]
18849 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 25792 |
| Euler totient φ(n) | 12240 |
| Square | 355284801 |
| Cube | 6696763214049 |
| Square root | 137.291660 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.8849 × |
18849 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand eight hundred and forty-nine |
| Binary (base 2) | 100100110100001 |
| Octal (base 8) | 44641 |
| Hexadecimal (base 16) | 49A1 |
| Base 3 | 221212010 |
| As time | 18849 seconds = 5 h 14 min 9 s |
Is 18849 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 (18849 ÷ 3 = 6283) | 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 | No (remainder 5) | 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 3) | 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 | No (remainder 6) | 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 18849 a prime number?
No. 18849 = 3 × 61 × 103, so it is divisible by 3.
What are the factors of 18849?
1, 3, 61, 103, 183, 309, 6283, 18849.
What is 18849 in binary?
100100110100001 (hexadecimal 49A1, octal 44641).
What is the square root of 18849?
About 137.2917.
Is 18849 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 18849?
18849 is a happy number: repeatedly adding the squares of its digits reaches 1.