The number 32725
32725 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 17. Divisors (24): 1, 5, 7, 11, 17, 25, 35, 55, 77, 85, 119, 175, 187, 275, 385, 425 … 32725.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32725: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32725 is composite. Its prime factorisation is
- 3
The divisors add up to 53568; without 32725 itself that is 20843, so 32725 is deficient (20843 is less than 32725). Euler's totient φ(32725) = 19200 numbers up to 32725 share no factor with it.
- 4
The digits of 32725 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32725 = 5^{2} \times 7 \times 11 \times 17 \]32725 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 53568 |
| Euler totient φ(n) | 19200 |
| Square | 1070925625 |
| Cube | 35046041078125 |
| Square root | 180.900525 (= 5√1309) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2725 × |
32725 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and twenty-five |
| Binary (base 2) | 111111111010101 |
| Octal (base 8) | 77725 |
| Hexadecimal (base 16) | 7FD5 |
| Base 3 | 1122220001 |
| As time | 32725 seconds = 9 h 5 min 25 s |
Is 32725 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32725 ÷ 5 = 6545) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32725 ÷ 7 = 4675) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (32725 ÷ 11 = 2975) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32725 a prime number?
No. 32725 = × 7 × 11 × 17, so it is divisible by 5.
What are the factors of 32725?
1, 5, 7, 11, 17, 25, 35, 55, 77, 85, 119, 175, 187, 275, 385, 425, 595, 935, 1309, 1925, 2975, 4675, 6545, 32725.
What is 32725 in binary?
111111111010101 (hexadecimal 7FD5, octal 77725).
What is the square root of 32725?
About 180.9005, exactly 5√1309.
Is 32725 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 32725?
32725 is a happy number: repeatedly adding the squares of its digits reaches 1.