The number 32661
32661 is a composite number with 12 divisors. Its prime factorisation is × 19 × 191. Divisors (12): 1, 3, 9, 19, 57, 171, 191, 573, 1719, 3629, 10887, 32661.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32661: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32661 is composite. Its prime factorisation is
- 3
The divisors add up to 49920; without 32661 itself that is 17259, so 32661 is deficient (17259 is less than 32661). Euler's totient φ(32661) = 20520 numbers up to 32661 share no factor with it.
- 4
The digits of 32661 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32661 = 3^{2} \times 19 \times 191 \]32661 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 49920 |
| Euler totient φ(n) | 20520 |
| Square | 1066740921 |
| Cube | 34840825220781 |
| Square root | 180.723546 (= 3√3629) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2661 × |
32661 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand six hundred and sixty-one |
| Binary (base 2) | 111111110010101 |
| Octal (base 8) | 77625 |
| Hexadecimal (base 16) | 7F95 |
| Base 3 | 1122210200 |
| As time | 32661 seconds = 9 h 4 min 21 s |
Is 32661 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 | Yes (32661 ÷ 3 = 10887) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (32661 ÷ 9 = 3629) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32661 a prime number?
No. 32661 = × 19 × 191, so it is divisible by 3.
What are the factors of 32661?
1, 3, 9, 19, 57, 171, 191, 573, 1719, 3629, 10887, 32661.
What is 32661 in binary?
111111110010101 (hexadecimal 7F95, octal 77625).
What is the square root of 32661?
About 180.7235, exactly 3√3629.
Is 32661 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 32661?
32661 is a happy number: repeatedly adding the squares of its digits reaches 1.