The number 50900
50900 is a composite number with 18 divisors. Its prime factorisation is × × 509. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 509, 1018, 2036, 2545, 5090, 10180, 12725 … 50900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
50900 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
50900 is composite. Its prime factorisation is
- 3
The divisors add up to 110670; without 50900 itself that is 59770, so 50900 is abundant (59770 is more than 50900). Euler's totient φ(50900) = 20320 numbers up to 50900 share no factor with it.
- 4
The digits of 50900 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50900 = 2^{2} \times 5^{2} \times 509 \]50900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 110670 |
| Euler totient φ(n) | 20320 |
| Square | 2590810000 |
| Cube | 131872229000000 |
| Square root | 225.610283 (= 10√509) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.09 × |
50900 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand nine hundred |
| Binary (base 2) | 1100011011010100 |
| Octal (base 8) | 143324 |
| Hexadecimal (base 16) | C6D4 |
| Base 3 | 2120211012 |
| As time | 50900 seconds = 14 h 8 min 20 s |
Is 50900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50900 ÷ 2 = 25450) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50900 ÷ 4 = 12725) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50900 ÷ 5 = 10180) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (50900 ÷ 10 = 5090) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50900 a prime number?
No. 50900 = × × 509, so it is divisible by 2.
What are the factors of 50900?
1, 2, 4, 5, 10, 20, 25, 50, 100, 509, 1018, 2036, 2545, 5090, 10180, 12725, 25450, 50900.
What is 50900 in binary?
1100011011010100 (hexadecimal C6D4, octal 143324).
What is the square root of 50900?
About 225.6103, exactly 10√509.
Is 50900 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 50900?
It is a composite number with 18 divisors.