The number 50004
50004 is a composite number with 24 divisors. Its prime factorisation is × × 463. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 463, 926, 1389, 1852 … 50004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50004: a Harshad number: divisible by its digit sum 9.
- 2
50004 is composite. Its prime factorisation is
- 3
The divisors add up to 129920; without 50004 itself that is 79916, so 50004 is abundant (79916 is more than 50004). Euler's totient φ(50004) = 16632 numbers up to 50004 share no factor with it.
- 4
The digits of 50004 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50004 = 2^{2} \times 3^{3} \times 463 \]50004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 129920 |
| Euler totient φ(n) | 16632 |
| Square | 2500400016 |
| Cube | 125030002400064 |
| Square root | 223.615742 (= 6√1389) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.0004 × |
50004 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and four |
| Binary (base 2) | 1100001101010100 |
| Octal (base 8) | 141524 |
| Hexadecimal (base 16) | C354 |
| Base 3 | 2112121000 |
| As time | 50004 seconds = 13 h 53 min 24 s |
Is 50004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50004 ÷ 2 = 25002) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50004 ÷ 3 = 16668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50004 ÷ 4 = 12501) | 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 (50004 ÷ 6 = 8334) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (50004 ÷ 9 = 5556) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50004 ÷ 12 = 4167) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50004 a prime number?
No. 50004 = × × 463, so it is divisible by 2.
What are the factors of 50004?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 463, 926, 1389, 1852, 2778, 4167, 5556, 8334, 12501, 16668, 25002, 50004.
What is 50004 in binary?
1100001101010100 (hexadecimal C354, octal 141524).
What is the square root of 50004?
About 223.6157, exactly 6√1389.
Is 50004 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 50004?
50004 is a Harshad number: divisible by its digit sum 9.