The number 32550
32550 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × × 7 × 31. Divisors (48): 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 31, 35, 42, 50 … 32550.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32550: a Harshad number: divisible by its digit sum 15.
- 2
32550 is composite. Its prime factorisation is
- 3
The divisors add up to 95232; without 32550 itself that is 62682, so 32550 is abundant (62682 is more than 32550). Euler's totient φ(32550) = 7200 numbers up to 32550 share no factor with it.
- 4
The digits of 32550 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 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32550 = 2 \times 3 \times 5^{2} \times 7 \times 31 \]32550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 95232 |
| Euler totient φ(n) | 7200 |
| Square | 1059502500 |
| Cube | 34486806375000 |
| Square root | 180.416186 (= 5√1302) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.255 × |
32550 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand five hundred and fifty |
| Binary (base 2) | 111111100100110 |
| Octal (base 8) | 77446 |
| Hexadecimal (base 16) | 7F26 |
| Base 3 | 1122122120 |
| As time | 32550 seconds = 9 h 2 min 30 s |
Is 32550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32550 ÷ 2 = 16275) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32550 ÷ 3 = 10850) | 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 (32550 ÷ 5 = 6510) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32550 ÷ 6 = 5425) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32550 ÷ 7 = 4650) | 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 6) | 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 (32550 ÷ 10 = 3255) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 32550 a prime number?
No. 32550 = 2 × 3 × × 7 × 31, so it is divisible by 2.
What are the factors of 32550?
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 31, 35, 42, 50, 62, 70, 75, 93, 105, 150, 155, 175, 186, 210, 217, 310, 350, 434, 465, 525, 651, 775, 930, 1050, 1085, 1302, 1550, 2170, 2325, 3255, 4650, 5425, 6510, 10850, 16275, 32550.
What is 32550 in binary?
111111100100110 (hexadecimal 7F26, octal 77446).
What is the square root of 32550?
About 180.4162, exactly 5√1302.
Is 32550 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 32550?
32550 is a Harshad number: divisible by its digit sum 15.