The number 49966
49966 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 43 × 83. Divisors (16): 1, 2, 7, 14, 43, 83, 86, 166, 301, 581, 602, 1162, 3569, 7138, 24983, 49966.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49966 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49966 is composite. Its prime factorisation is
- 3
The divisors add up to 88704; without 49966 itself that is 38738, so 49966 is deficient (38738 is less than 49966). Euler's totient φ(49966) = 20664 numbers up to 49966 share no factor with it.
- 4
The digits of 49966 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49966 = 2 \times 7 \times 43 \times 83 \]
49966 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 88704 |
| Euler totient φ(n) | 20664 |
| Square | 2496601156 |
| Cube | 124745173360696 |
| Square root | 223.530759 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9966 × |
49966 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and sixty-six |
| Binary (base 2) | 1100001100101110 |
| Octal (base 8) | 141456 |
| Hexadecimal (base 16) | C32E |
| Base 3 | 2112112121 |
| As time | 49966 seconds = 13 h 52 min 46 s |
Is 49966 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49966 ÷ 2 = 24983) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49966 ÷ 7 = 7138) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49966 a prime number?
No. 49966 = 2 × 7 × 43 × 83, so it is divisible by 2.
What are the factors of 49966?
1, 2, 7, 14, 43, 83, 86, 166, 301, 581, 602, 1162, 3569, 7138, 24983, 49966.
What is 49966 in binary?
1100001100101110 (hexadecimal C32E, octal 141456).
What is the square root of 49966?
About 223.5308.
Is 49966 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 49966?
It is a composite number with 16 divisors.