The number 49996
49996 is a composite number with 12 divisors. Its prime factorisation is × 29 × 431. Divisors (12): 1, 2, 4, 29, 58, 116, 431, 862, 1724, 12499, 24998, 49996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49996 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 49996 itself that is 40724, so 49996 is deficient (40724 is less than 49996). Euler's totient φ(49996) = 24080 numbers up to 49996 share no factor with it.
- 4
The digits of 49996 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49996 = 2^{2} \times 29 \times 431 \]49996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 24080 |
| Square | 2499600016 |
| Cube | 124970002399936 |
| Square root | 223.597853 (= 2√12499) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9996 × |
49996 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and ninety-six |
| Binary (base 2) | 1100001101001100 |
| Octal (base 8) | 141514 |
| Hexadecimal (base 16) | C34C |
| Base 3 | 2112120201 |
| As time | 49996 seconds = 13 h 53 min 16 s |
Is 49996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49996 ÷ 2 = 24998) | 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 (49996 ÷ 4 = 12499) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | 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 49996 a prime number?
No. 49996 = × 29 × 431, so it is divisible by 2.
What are the factors of 49996?
1, 2, 4, 29, 58, 116, 431, 862, 1724, 12499, 24998, 49996.
What is 49996 in binary?
1100001101001100 (hexadecimal C34C, octal 141514).
What is the square root of 49996?
About 223.5979, exactly 2√12499.
Is 49996 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 49996?
It is a composite number with 12 divisors.