The number 32747
32747 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 229. Divisors (8): 1, 11, 13, 143, 229, 2519, 2977, 32747.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32747 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32747 is composite. Its prime factorisation is
- 3
The divisors add up to 38640; without 32747 itself that is 5893, so 32747 is deficient (5893 is less than 32747). Euler's totient φ(32747) = 27360 numbers up to 32747 share no factor with it.
- 4
The digits of 32747 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32747 = 11 \times 13 \times 229 \]
32747 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 38640 |
| Euler totient φ(n) | 27360 |
| Square | 1072366009 |
| Cube | 35116769696723 |
| Square root | 180.961322 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.2747 × |
32747 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and forty-seven |
| Binary (base 2) | 111111111101011 |
| Octal (base 8) | 77753 |
| Hexadecimal (base 16) | 7FEB |
| Base 3 | 1122220212 |
| As time | 32747 seconds = 9 h 5 min 47 s |
Is 32747 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (32747 ÷ 11 = 2977) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32747 a prime number?
No. 32747 = 11 × 13 × 229, so it is divisible by 11.
What are the factors of 32747?
1, 11, 13, 143, 229, 2519, 2977, 32747.
What is 32747 in binary?
111111111101011 (hexadecimal 7FEB, octal 77753).
What is the square root of 32747?
About 180.9613.
Is 32747 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 32747?
It is a composite number with 8 divisors.