The number 49983
49983 is a composite number with 4 divisors. Its prime factorisation is 3 × 16661. Divisors (4): 1, 3, 16661, 49983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49983: a semiprime: 3 × 16661, the product of two primes.
- 2
49983 is composite. Its prime factorisation is
- 3
The divisors add up to 66648; without 49983 itself that is 16665, so 49983 is deficient (16665 is less than 49983). Euler's totient φ(49983) = 33320 numbers up to 49983 share no factor with it.
- 4
The digits of 49983 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49983 = 3 \times 16661 \]
49983 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 66648 |
| Euler totient φ(n) | 33320 |
| Square | 2498300289 |
| Cube | 124872543345087 |
| Square root | 223.568781 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.9983 × |
49983 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and eighty-three |
| Binary (base 2) | 1100001100111111 |
| Octal (base 8) | 141477 |
| Hexadecimal (base 16) | C33F |
| Base 3 | 2112120020 |
| As time | 49983 seconds = 13 h 53 min 3 s |
Is 49983 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 (49983 ÷ 3 = 16661) | 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 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 49983 a prime number?
No. 49983 = 3 × 16661, so it is divisible by 3.
What are the factors of 49983?
1, 3, 16661, 49983.
What is 49983 in binary?
1100001100111111 (hexadecimal C33F, octal 141477).
What is the square root of 49983?
About 223.5688.
Is 49983 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 49983?
49983 is a semiprime: 3 × 16661, the product of two primes.