The number 32761
32761 is a perfect square (181²). Its prime factorisation is . Divisors (3): 1, 181, 32761.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32761: a perfect square (181²); the square of a prime (181²).
- 2
32761 is composite. Its prime factorisation is
- 3
The divisors add up to 32943; without 32761 itself that is 182, so 32761 is deficient (182 is less than 32761). Euler's totient φ(32761) = 32580 numbers up to 32761 share no factor with it.
- 4
The digits of 32761 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 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32761 = 181^{2} \]32761 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 32943 |
| Euler totient φ(n) | 32580 |
| Square | 1073283121 |
| Cube | 35161828327081 |
| Square root | 181 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.2761 × |
| Perfect power |
32761 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and sixty-one |
| Binary (base 2) | 111111111111001 |
| Octal (base 8) | 77771 |
| Hexadecimal (base 16) | 7FF9 |
| Base 3 | 1122221101 |
| As time | 32761 seconds = 9 h 6 min 1 s |
Is 32761 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 | No (remainder 1) | 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 | No (remainder 1) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 32761 a prime number?
No. 32761 = , so it is divisible by 181.
What are the factors of 32761?
1, 181, 32761.
What is 32761 in binary?
111111111111001 (hexadecimal 7FF9, octal 77771).
What is the square root of 32761?
181, because 181 × 181 = 32761.
Is 32761 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 32761?
32761 is a perfect square (181²); the square of a prime (181²).