The number 49936
49936 is a composite number with 10 divisors. Its prime factorisation is × 3121. Divisors (10): 1, 2, 4, 8, 16, 3121, 6242, 12484, 24968, 49936.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49936 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49936 is composite. Its prime factorisation is
- 3
The divisors add up to 96782; without 49936 itself that is 46846, so 49936 is deficient (46846 is less than 49936). Euler's totient φ(49936) = 24960 numbers up to 49936 share no factor with it.
- 4
The digits of 49936 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49936 = 2^{4} \times 3121 \]49936 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 96782 |
| Euler totient φ(n) | 24960 |
| Square | 2493604096 |
| Cube | 124520614137856 |
| Square root | 223.463644 (= 4√3121) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9936 × |
49936 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and thirty-six |
| Binary (base 2) | 1100001100010000 |
| Octal (base 8) | 141420 |
| Hexadecimal (base 16) | C310 |
| Base 3 | 2112111111 |
| As time | 49936 seconds = 13 h 52 min 16 s |
Is 49936 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49936 ÷ 2 = 24968) | 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 | Yes (49936 ÷ 4 = 12484) | 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 | 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 | Yes (49936 ÷ 8 = 6242) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49936 a prime number?
No. 49936 = × 3121, so it is divisible by 2.
What are the factors of 49936?
1, 2, 4, 8, 16, 3121, 6242, 12484, 24968, 49936.
What is 49936 in binary?
1100001100010000 (hexadecimal C310, octal 141420).
What is the square root of 49936?
About 223.4636, exactly 4√3121.
Is 49936 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 49936?
It is a composite number with 10 divisors.