The number 32964
32964 is a composite number with 24 divisors. Its prime factorisation is × 3 × 41 × 67. Divisors (24): 1, 2, 3, 4, 6, 12, 41, 67, 82, 123, 134, 164, 201, 246, 268, 402 … 32964.
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How to work it out
- 1
32964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32964 is composite. Its prime factorisation is
- 3
The divisors add up to 79968; without 32964 itself that is 47004, so 32964 is abundant (47004 is more than 32964). Euler's totient φ(32964) = 10560 numbers up to 32964 share no factor with it.
- 4
The digits of 32964 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32964 = 2^{2} \times 3 \times 41 \times 67 \]32964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 79968 |
| Euler totient φ(n) | 10560 |
| Square | 1086625296 |
| Cube | 35819516257344 |
| Square root | 181.559907 (= 2√8241) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2964 × |
32964 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and sixty-four |
| Binary (base 2) | 1000000011000100 |
| Octal (base 8) | 100304 |
| Hexadecimal (base 16) | 80C4 |
| Base 3 | 1200012220 |
| As time | 32964 seconds = 9 h 9 min 24 s |
Is 32964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32964 ÷ 2 = 16482) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32964 ÷ 3 = 10988) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32964 ÷ 4 = 8241) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32964 ÷ 6 = 5494) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (32964 ÷ 12 = 2747) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32964 a prime number?
No. 32964 = × 3 × 41 × 67, so it is divisible by 2.
What are the factors of 32964?
1, 2, 3, 4, 6, 12, 41, 67, 82, 123, 134, 164, 201, 246, 268, 402, 492, 804, 2747, 5494, 8241, 10988, 16482, 32964.
What is 32964 in binary?
1000000011000100 (hexadecimal 80C4, octal 100304).
What is the square root of 32964?
About 181.5599, exactly 2√8241.
Is 32964 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 32964?
It is a composite number with 24 divisors.