The number 32968
32968 is a composite number with 16 divisors. Its prime factorisation is × 13 × 317. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 317, 634, 1268, 2536, 4121, 8242, 16484, 32968.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32968 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32968 is composite. Its prime factorisation is
- 3
The divisors add up to 66780; without 32968 itself that is 33812, so 32968 is abundant (33812 is more than 32968). Euler's totient φ(32968) = 15168 numbers up to 32968 share no factor with it.
- 4
The digits of 32968 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32968 = 2^{3} \times 13 \times 317 \]32968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 66780 |
| Euler totient φ(n) | 15168 |
| Square | 1086889024 |
| Cube | 35832557343232 |
| Square root | 181.570923 (= 2√8242) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2968 × |
32968 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and sixty-eight |
| Binary (base 2) | 1000000011001000 |
| Octal (base 8) | 100310 |
| Hexadecimal (base 16) | 80C8 |
| Base 3 | 1200020001 |
| As time | 32968 seconds = 9 h 9 min 28 s |
Is 32968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32968 ÷ 2 = 16484) | 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 | Yes (32968 ÷ 4 = 8242) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (32968 ÷ 8 = 4121) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32968 a prime number?
No. 32968 = × 13 × 317, so it is divisible by 2.
What are the factors of 32968?
1, 2, 4, 8, 13, 26, 52, 104, 317, 634, 1268, 2536, 4121, 8242, 16484, 32968.
What is 32968 in binary?
1000000011001000 (hexadecimal 80C8, octal 100310).
What is the square root of 32968?
About 181.5709, exactly 2√8242.
Is 32968 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 32968?
It is a composite number with 16 divisors.