The number 50007
50007 is a composite number with 8 divisors. Its prime factorisation is 3 × 79 × 211. Divisors (8): 1, 3, 79, 211, 237, 633, 16669, 50007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50007 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50007 is composite. Its prime factorisation is
- 3
The divisors add up to 67840; without 50007 itself that is 17833, so 50007 is deficient (17833 is less than 50007). Euler's totient φ(50007) = 32760 numbers up to 50007 share no factor with it.
- 4
The digits of 50007 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50007 = 3 \times 79 \times 211 \]
50007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 67840 |
| Euler totient φ(n) | 32760 |
| Square | 2500700049 |
| Cube | 125052507350343 |
| Square root | 223.622450 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 88 |
| Scientific notation | 5.0007 × |
50007 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and seven |
| Binary (base 2) | 1100001101010111 |
| Octal (base 8) | 141527 |
| Hexadecimal (base 16) | C357 |
| Base 3 | 2112121010 |
| As time | 50007 seconds = 13 h 53 min 27 s |
Is 50007 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50007 ÷ 3 = 16669) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50007 a prime number?
No. 50007 = 3 × 79 × 211, so it is divisible by 3.
What are the factors of 50007?
1, 3, 79, 211, 237, 633, 16669, 50007.
What is 50007 in binary?
1100001101010111 (hexadecimal C357, octal 141527).
What is the square root of 50007?
About 223.6224.
Is 50007 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 50007?
It is a composite number with 8 divisors.