The number 32944
32944 is a composite number with 20 divisors. Its prime factorisation is × 29 × 71. Divisors (20): 1, 2, 4, 8, 16, 29, 58, 71, 116, 142, 232, 284, 464, 568, 1136, 2059 … 32944.
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How to work it out
- 1
32944 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32944 is composite. Its prime factorisation is
- 3
The divisors add up to 66960; without 32944 itself that is 34016, so 32944 is abundant (34016 is more than 32944). Euler's totient φ(32944) = 15680 numbers up to 32944 share no factor with it.
- 4
The digits of 32944 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32944 = 2^{4} \times 29 \times 71 \]32944 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 66960 |
| Euler totient φ(n) | 15680 |
| Square | 1085307136 |
| Cube | 35754358288384 |
| Square root | 181.504821 (= 4√2059) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.2944 × |
32944 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and forty-four |
| Binary (base 2) | 1000000010110000 |
| Octal (base 8) | 100260 |
| Hexadecimal (base 16) | 80B0 |
| Base 3 | 1200012011 |
| As time | 32944 seconds = 9 h 9 min 4 s |
Is 32944 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32944 ÷ 2 = 16472) | 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 (32944 ÷ 4 = 8236) | 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 | No (remainder 4) | 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 | Yes (32944 ÷ 8 = 4118) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 10) | 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 32944 a prime number?
No. 32944 = × 29 × 71, so it is divisible by 2.
What are the factors of 32944?
1, 2, 4, 8, 16, 29, 58, 71, 116, 142, 232, 284, 464, 568, 1136, 2059, 4118, 8236, 16472, 32944.
What is 32944 in binary?
1000000010110000 (hexadecimal 80B0, octal 100260).
What is the square root of 32944?
About 181.5048, exactly 4√2059.
Is 32944 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 32944?
It is a composite number with 20 divisors.