The number 50736
50736 is a composite number with 40 divisors. Its prime factorisation is × 3 × 7 × 151. Divisors (40): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56 … 50736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50736: a Harshad number: divisible by its digit sum 21.
- 2
50736 is composite. Its prime factorisation is
- 3
The divisors add up to 150784; without 50736 itself that is 100048, so 50736 is abundant (100048 is more than 50736). Euler's totient φ(50736) = 14400 numbers up to 50736 share no factor with it.
- 4
The digits of 50736 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50736 = 2^{4} \times 3 \times 7 \times 151 \]50736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 150784 |
| Euler totient φ(n) | 14400 |
| Square | 2574141696 |
| Cube | 130601653088256 |
| Square root | 225.246532 (= 4√3171) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.0736 × |
50736 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand seven hundred and thirty-six |
| Binary (base 2) | 1100011000110000 |
| Octal (base 8) | 143060 |
| Hexadecimal (base 16) | C630 |
| Base 3 | 2120121010 |
| As time | 50736 seconds = 14 h 5 min 36 s |
Is 50736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50736 ÷ 2 = 25368) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50736 ÷ 3 = 16912) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50736 ÷ 4 = 12684) | 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 | Yes (50736 ÷ 6 = 8456) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (50736 ÷ 7 = 7248) | 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 (50736 ÷ 8 = 6342) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (50736 ÷ 12 = 4228) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50736 a prime number?
No. 50736 = × 3 × 7 × 151, so it is divisible by 2.
What are the factors of 50736?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 151, 168, 302, 336, 453, 604, 906, 1057, 1208, 1812, 2114, 2416, 3171, 3624, 4228, 6342, 7248, 8456, 12684, 16912, 25368, 50736.
What is 50736 in binary?
1100011000110000 (hexadecimal C630, octal 143060).
What is the square root of 50736?
About 225.2465, exactly 4√3171.
Is 50736 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 50736?
50736 is a Harshad number: divisible by its digit sum 21.