The number 50076
50076 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 107. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 107, 117 … 50076.
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How to work it out
- 1
What is special about 50076: a Harshad number: divisible by its digit sum 18.
- 2
50076 is composite. Its prime factorisation is
- 3
The divisors add up to 137592; without 50076 itself that is 87516, so 50076 is abundant (87516 is more than 50076). Euler's totient φ(50076) = 15264 numbers up to 50076 share no factor with it.
- 4
The digits of 50076 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
\[ 50076 = 2^{2} \times 3^{2} \times 13 \times 107 \]50076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 137592 |
| Euler totient φ(n) | 15264 |
| Square | 2507605776 |
| Cube | 125570866838976 |
| Square root | 223.776674 (= 6√1391) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.0076 × |
50076 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and seventy-six |
| Binary (base 2) | 1100001110011100 |
| Octal (base 8) | 141634 |
| Hexadecimal (base 16) | C39C |
| Base 3 | 2112200200 |
| As time | 50076 seconds = 13 h 54 min 36 s |
Is 50076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50076 ÷ 2 = 25038) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50076 ÷ 3 = 16692) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50076 ÷ 4 = 12519) | 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 (50076 ÷ 6 = 8346) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50076 ÷ 9 = 5564) | 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 (50076 ÷ 12 = 4173) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50076 a prime number?
No. 50076 = × × 13 × 107, so it is divisible by 2.
What are the factors of 50076?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 107, 117, 156, 214, 234, 321, 428, 468, 642, 963, 1284, 1391, 1926, 2782, 3852, 4173, 5564, 8346, 12519, 16692, 25038, 50076.
What is 50076 in binary?
1100001110011100 (hexadecimal C39C, octal 141634).
What is the square root of 50076?
About 223.7767, exactly 6√1391.
Is 50076 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50076?
50076 is a Harshad number: divisible by its digit sum 18.