The number 20850
20850 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 139. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 139, 150, 278, 417, 695 … 20850.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20850: a Harshad number: divisible by its digit sum 15.
- 2
20850 is composite. Its prime factorisation is
- 3
The divisors add up to 52080; without 20850 itself that is 31230, so 20850 is abundant (31230 is more than 20850). Euler's totient φ(20850) = 5520 numbers up to 20850 share no factor with it.
- 4
The digits of 20850 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20850 = 2 \times 3 \times 5^{2} \times 139 \]20850 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 52080 |
| Euler totient φ(n) | 5520 |
| Square | 434722500 |
| Cube | 9063964125000 |
| Square root | 144.395291 (= 5√834) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.085 × |
20850 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand eight hundred and fifty |
| Binary (base 2) | 101000101110010 |
| Octal (base 8) | 50562 |
| Hexadecimal (base 16) | 5172 |
| Base 3 | 1001121020 |
| As time | 20850 seconds = 5 h 47 min 30 s |
Is 20850 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20850 ÷ 2 = 10425) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20850 ÷ 3 = 6950) | 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 | Yes (20850 ÷ 5 = 4170) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (20850 ÷ 6 = 3475) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20850 ÷ 10 = 2085) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20850 a prime number?
No. 20850 = 2 × 3 × × 139, so it is divisible by 2.
What are the factors of 20850?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 139, 150, 278, 417, 695, 834, 1390, 2085, 3475, 4170, 6950, 10425, 20850.
What is 20850 in binary?
101000101110010 (hexadecimal 5172, octal 50562).
What is the square root of 20850?
About 144.3953, exactly 5√834.
Is 20850 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 20850?
20850 is a Harshad number: divisible by its digit sum 15.