The number 50436
50436 is a composite number with 24 divisors. Its prime factorisation is × × 467. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 467, 934, 1401, 1868 … 50436.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50436: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
50436 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 50436 itself that is 80604, so 50436 is abundant (80604 is more than 50436). Euler's totient φ(50436) = 16776 numbers up to 50436 share no factor with it.
- 4
The digits of 50436 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50436 = 2^{2} \times 3^{3} \times 467 \]50436 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 16776 |
| Square | 2543790096 |
| Cube | 128298597281856 |
| Square root | 224.579607 (= 6√1401) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0436 × |
50436 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand four hundred and thirty-six |
| Binary (base 2) | 1100010100000100 |
| Octal (base 8) | 142404 |
| Hexadecimal (base 16) | C504 |
| Base 3 | 2120012000 |
| As time | 50436 seconds = 14 h 0 min 36 s |
Is 50436 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50436 ÷ 2 = 25218) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50436 ÷ 3 = 16812) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50436 ÷ 4 = 12609) | 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 (50436 ÷ 6 = 8406) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (50436 ÷ 9 = 5604) | 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 | Yes (50436 ÷ 12 = 4203) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50436 a prime number?
No. 50436 = × × 467, so it is divisible by 2.
What are the factors of 50436?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 467, 934, 1401, 1868, 2802, 4203, 5604, 8406, 12609, 16812, 25218, 50436.
What is 50436 in binary?
1100010100000100 (hexadecimal C504, octal 142404).
What is the square root of 50436?
About 224.5796, exactly 6√1401.
Is 50436 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50436?
50436 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.