The number 32741
32741 is a composite number with 4 divisors. Its prime factorisation is 29 × 1129. Divisors (4): 1, 29, 1129, 32741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32741: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 1129, the product of two primes.
- 2
32741 is composite. Its prime factorisation is
- 3
The divisors add up to 33900; without 32741 itself that is 1159, so 32741 is deficient (1159 is less than 32741). Euler's totient φ(32741) = 31584 numbers up to 32741 share no factor with it.
- 4
The digits of 32741 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32741 = 29 \times 1129 \]
32741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 33900 |
| Euler totient φ(n) | 31584 |
| Square | 1071973081 |
| Cube | 35097470645021 |
| Square root | 180.944743 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.2741 × |
32741 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and forty-one |
| Binary (base 2) | 111111111100101 |
| Octal (base 8) | 77745 |
| Hexadecimal (base 16) | 7FE5 |
| Base 3 | 1122220122 |
| As time | 32741 seconds = 9 h 5 min 41 s |
Is 32741 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 8) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32741 a prime number?
No. 32741 = 29 × 1129, so it is divisible by 29.
What are the factors of 32741?
1, 29, 1129, 32741.
What is 32741 in binary?
111111111100101 (hexadecimal 7FE5, octal 77745).
What is the square root of 32741?
About 180.9447.
Is 32741 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 32741?
32741 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 1129, the product of two primes.