The number 32708
32708 is a composite number with 24 divisors. Its prime factorisation is × 13 × 17 × 37. Divisors (24): 1, 2, 4, 13, 17, 26, 34, 37, 52, 68, 74, 148, 221, 442, 481, 629 … 32708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32708 is composite. Its prime factorisation is
- 3
The divisors add up to 67032; without 32708 itself that is 34324, so 32708 is abundant (34324 is more than 32708). Euler's totient φ(32708) = 13824 numbers up to 32708 share no factor with it.
- 4
The digits of 32708 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32708 = 2^{2} \times 13 \times 17 \times 37 \]32708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 67032 |
| Euler totient φ(n) | 13824 |
| Square | 1069813264 |
| Cube | 34991452238912 |
| Square root | 180.853532 (= 2√8177) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.2708 × |
32708 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and eight |
| Binary (base 2) | 111111111000100 |
| Octal (base 8) | 77704 |
| Hexadecimal (base 16) | 7FC4 |
| Base 3 | 1122212102 |
| As time | 32708 seconds = 9 h 5 min 8 s |
Is 32708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32708 ÷ 2 = 16354) | 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 | Yes (32708 ÷ 4 = 8177) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32708 a prime number?
No. 32708 = × 13 × 17 × 37, so it is divisible by 2.
What are the factors of 32708?
1, 2, 4, 13, 17, 26, 34, 37, 52, 68, 74, 148, 221, 442, 481, 629, 884, 962, 1258, 1924, 2516, 8177, 16354, 32708.
What is 32708 in binary?
111111111000100 (hexadecimal 7FC4, octal 77704).
What is the square root of 32708?
About 180.8535, exactly 2√8177.
Is 32708 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 32708?
It is a composite number with 24 divisors.