The number 50008
50008 is a composite number with 32 divisors. Its prime factorisation is × 7 × 19 × 47. Divisors (32): 1, 2, 4, 7, 8, 14, 19, 28, 38, 47, 56, 76, 94, 133, 152, 188 … 50008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50008 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 50008 itself that is 65192, so 50008 is abundant (65192 is more than 50008). Euler's totient φ(50008) = 19872 numbers up to 50008 share no factor with it.
- 4
The digits of 50008 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50008 = 2^{3} \times 7 \times 19 \times 47 \]50008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 19872 |
| Square | 2500800064 |
| Cube | 125060009600512 |
| Square root | 223.624686 (= 2√12502) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 114 |
| Scientific notation | 5.0008 × |
50008 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and eight |
| Binary (base 2) | 1100001101011000 |
| Octal (base 8) | 141530 |
| Hexadecimal (base 16) | C358 |
| Base 3 | 2112121011 |
| As time | 50008 seconds = 13 h 53 min 28 s |
Is 50008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50008 ÷ 2 = 25004) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50008 ÷ 4 = 12502) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (50008 ÷ 7 = 7144) | 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 (50008 ÷ 8 = 6251) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50008 a prime number?
No. 50008 = × 7 × 19 × 47, so it is divisible by 2.
What are the factors of 50008?
1, 2, 4, 7, 8, 14, 19, 28, 38, 47, 56, 76, 94, 133, 152, 188, 266, 329, 376, 532, 658, 893, 1064, 1316, 1786, 2632, 3572, 6251, 7144, 12502, 25004, 50008.
What is 50008 in binary?
1100001101011000 (hexadecimal C358, octal 141530).
What is the square root of 50008?
About 223.6247, exactly 2√12502.
Is 50008 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 50008?
It is a composite number with 32 divisors.