The number 50002
50002 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 1087. Divisors (8): 1, 2, 23, 46, 1087, 2174, 25001, 50002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50002 is composite. Its prime factorisation is
- 3
The divisors add up to 78336; without 50002 itself that is 28334, so 50002 is deficient (28334 is less than 50002). Euler's totient φ(50002) = 23892 numbers up to 50002 share no factor with it.
- 4
The digits of 50002 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50002 = 2 \times 23 \times 1087 \]
50002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 78336 |
| Euler totient φ(n) | 23892 |
| Square | 2500200004 |
| Cube | 125015000600008 |
| Square root | 223.611270 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.0002 × |
50002 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand and two |
| Binary (base 2) | 1100001101010010 |
| Octal (base 8) | 141522 |
| Hexadecimal (base 16) | C352 |
| Base 3 | 2112120221 |
| As time | 50002 seconds = 13 h 53 min 22 s |
Is 50002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50002 ÷ 2 = 25001) | 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 | No (remainder 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50002 a prime number?
No. 50002 = 2 × 23 × 1087, so it is divisible by 2.
What are the factors of 50002?
1, 2, 23, 46, 1087, 2174, 25001, 50002.
What is 50002 in binary?
1100001101010010 (hexadecimal C352, octal 141522).
What is the square root of 50002?
About 223.6113.
Is 50002 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 50002?
It is a composite number with 8 divisors.