The number 50904
50904 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 101. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42 … 50904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50904: a Harshad number: divisible by its digit sum 18.
- 2
50904 is composite. Its prime factorisation is
- 3
The divisors add up to 159120; without 50904 itself that is 108216, so 50904 is abundant (108216 is more than 50904). Euler's totient φ(50904) = 14400 numbers up to 50904 share no factor with it.
- 4
The digits of 50904 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50904 = 2^{3} \times 3^{2} \times 7 \times 101 \]50904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 159120 |
| Euler totient φ(n) | 14400 |
| Square | 2591217216 |
| Cube | 131903321163264 |
| Square root | 225.619148 (= 6√1414) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.0904 × |
50904 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand nine hundred and four |
| Binary (base 2) | 1100011011011000 |
| Octal (base 8) | 143330 |
| Hexadecimal (base 16) | C6D8 |
| Base 3 | 2120211100 |
| As time | 50904 seconds = 14 h 8 min 24 s |
Is 50904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50904 ÷ 2 = 25452) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50904 ÷ 3 = 16968) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50904 ÷ 4 = 12726) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50904 ÷ 6 = 8484) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (50904 ÷ 7 = 7272) | 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 (50904 ÷ 8 = 6363) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (50904 ÷ 9 = 5656) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (50904 ÷ 12 = 4242) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50904 a prime number?
No. 50904 = × × 7 × 101, so it is divisible by 2.
What are the factors of 50904?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 101, 126, 168, 202, 252, 303, 404, 504, 606, 707, 808, 909, 1212, 1414, 1818, 2121, 2424, 2828, 3636, 4242, 5656, 6363, 7272, 8484, 12726, 16968, 25452, 50904.
What is 50904 in binary?
1100011011011000 (hexadecimal C6D8, octal 143330).
What is the square root of 50904?
About 225.6191, exactly 6√1414.
Is 50904 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50904?
50904 is a Harshad number: divisible by its digit sum 18.