The number 32850
32850 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 73. Divisors (36): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 73, 75, 90 … 32850.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32850: a Harshad number: divisible by its digit sum 18.
- 2
32850 is composite. Its prime factorisation is
- 3
The divisors add up to 89466; without 32850 itself that is 56616, so 32850 is abundant (56616 is more than 32850). Euler's totient φ(32850) = 8640 numbers up to 32850 share no factor with it.
- 4
The digits of 32850 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32850 = 2 \times 3^{2} \times 5^{2} \times 73 \]32850 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 89466 |
| Euler totient φ(n) | 8640 |
| Square | 1079122500 |
| Cube | 35449174125000 |
| Square root | 181.245690 (= 15√146) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.285 × |
32850 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and fifty |
| Binary (base 2) | 1000000001010010 |
| Octal (base 8) | 100122 |
| Hexadecimal (base 16) | 8052 |
| Base 3 | 1200001200 |
| As time | 32850 seconds = 9 h 7 min 30 s |
Is 32850 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32850 ÷ 2 = 16425) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32850 ÷ 3 = 10950) | 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 (32850 ÷ 5 = 6570) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32850 ÷ 6 = 5475) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (32850 ÷ 9 = 3650) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32850 ÷ 10 = 3285) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 32850 a prime number?
No. 32850 = 2 × × × 73, so it is divisible by 2.
What are the factors of 32850?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 73, 75, 90, 146, 150, 219, 225, 365, 438, 450, 657, 730, 1095, 1314, 1825, 2190, 3285, 3650, 5475, 6570, 10950, 16425, 32850.
What is 32850 in binary?
1000000001010010 (hexadecimal 8052, octal 100122).
What is the square root of 32850?
About 181.2457, exactly 15√146.
Is 32850 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 32850?
32850 is a Harshad number: divisible by its digit sum 18.