The number 5850
5850 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 13. Divisors (36): 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50 … 5850.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5850: a Harshad number: divisible by its digit sum 18.
- 2
5850 is composite. Its prime factorisation is
- 3
The divisors add up to 16926; without 5850 itself that is 11076, so 5850 is abundant (11076 is more than 5850). Euler's totient φ(5850) = 1440 numbers up to 5850 share no factor with it.
- 4
The digits of 5850 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5850 = 2 \times 3^{2} \times 5^{2} \times 13 \]5850 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 16926 |
| Euler totient φ(n) | 1440 |
| Square | 34222500 |
| Cube | 200201625000 |
| Square root | 76.485293 (= 15√26) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 142 |
| Scientific notation | 5.85 × |
5850 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and fifty |
| Binary (base 2) | 1011011011010 |
| Octal (base 8) | 13332 |
| Hexadecimal (base 16) | 16DA |
| Base 3 | 22000200 |
| As time | 5850 seconds = 1 h 37 min 30 s |
Is 5850 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5850 ÷ 2 = 2925) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5850 ÷ 3 = 1950) | 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 (5850 ÷ 5 = 1170) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5850 ÷ 6 = 975) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (5850 ÷ 9 = 650) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5850 ÷ 10 = 585) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 5850 a prime number?
No. 5850 = 2 × × × 13, so it is divisible by 2.
What are the factors of 5850?
1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 195, 225, 234, 325, 390, 450, 585, 650, 975, 1170, 1950, 2925, 5850.
What is 5850 in binary?
1011011011010 (hexadecimal 16DA, octal 13332).
What is the square root of 5850?
About 76.4853, exactly 15√26.
Is 5850 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5850?
5850 is a Harshad number: divisible by its digit sum 18.