The number 50100
50100 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 167. Divisors (36): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100 … 50100.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50100: a Harshad number: divisible by its digit sum 6.
- 2
50100 is composite. Its prime factorisation is
- 3
The divisors add up to 145824; without 50100 itself that is 95724, so 50100 is abundant (95724 is more than 50100). Euler's totient φ(50100) = 13280 numbers up to 50100 share no factor with it.
- 4
The digits of 50100 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50100 = 2^{2} \times 3 \times 5^{2} \times 167 \]50100 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 145824 |
| Euler totient φ(n) | 13280 |
| Square | 2510010000 |
| Cube | 125751501000000 |
| Square root | 223.830293 (= 10√501) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 114 |
| Scientific notation | 5.01 × |
50100 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand one hundred |
| Binary (base 2) | 1100001110110100 |
| Octal (base 8) | 141664 |
| Hexadecimal (base 16) | C3B4 |
| Base 3 | 2112201120 |
| As time | 50100 seconds = 13 h 55 min 0 s |
Is 50100 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50100 ÷ 2 = 25050) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50100 ÷ 3 = 16700) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50100 ÷ 4 = 12525) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50100 ÷ 5 = 10020) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50100 ÷ 6 = 8350) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (50100 ÷ 10 = 5010) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50100 ÷ 12 = 4175) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50100 a prime number?
No. 50100 = × 3 × × 167, so it is divisible by 2.
What are the factors of 50100?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 167, 300, 334, 501, 668, 835, 1002, 1670, 2004, 2505, 3340, 4175, 5010, 8350, 10020, 12525, 16700, 25050, 50100.
What is 50100 in binary?
1100001110110100 (hexadecimal C3B4, octal 141664).
What is the square root of 50100?
About 223.8303, exactly 10√501.
Is 50100 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 50100?
50100 is a Harshad number: divisible by its digit sum 6.