The number 49830
49830 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 11 × 151. Divisors (32): 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 151, 165 … 49830.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49830 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49830 is composite. Its prime factorisation is
- 3
The divisors add up to 131328; without 49830 itself that is 81498, so 49830 is abundant (81498 is more than 49830). Euler's totient φ(49830) = 12000 numbers up to 49830 share no factor with it.
- 4
The digits of 49830 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49830 = 2 \times 3 \times 5 \times 11 \times 151 \]
49830 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 131328 |
| Euler totient φ(n) | 12000 |
| Square | 2483028900 |
| Cube | 123729330087000 |
| Square root | 223.226343 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.983 × |
49830 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and thirty |
| Binary (base 2) | 1100001010100110 |
| Octal (base 8) | 141246 |
| Hexadecimal (base 16) | C2A6 |
| Base 3 | 2112100120 |
| As time | 49830 seconds = 13 h 50 min 30 s |
Is 49830 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49830 ÷ 2 = 24915) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49830 ÷ 3 = 16610) | 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 | Yes (49830 ÷ 5 = 9966) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49830 ÷ 6 = 8305) | 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 6) | 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 | Yes (49830 ÷ 10 = 4983) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (49830 ÷ 11 = 4530) | 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 49830 a prime number?
No. 49830 = 2 × 3 × 5 × 11 × 151, so it is divisible by 2.
What are the factors of 49830?
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 151, 165, 302, 330, 453, 755, 906, 1510, 1661, 2265, 3322, 4530, 4983, 8305, 9966, 16610, 24915, 49830.
What is 49830 in binary?
1100001010100110 (hexadecimal C2A6, octal 141246).
What is the square root of 49830?
About 223.2263.
Is 49830 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 49830?
It is a composite number with 32 divisors.