The number 32844
32844 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7 × 17 × 23. Divisors (48): 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 23, 28, 34, 42, 46, 51 … 32844.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32844: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
32844 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 32844 itself that is 63924, so 32844 is abundant (63924 is more than 32844). Euler's totient φ(32844) = 8448 numbers up to 32844 share no factor with it.
- 4
The digits of 32844 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32844 = 2^{2} \times 3 \times 7 \times 17 \times 23 \]32844 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 8448 |
| Square | 1078728336 |
| Cube | 35429753467584 |
| Square root | 181.229137 (= 2√8211) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.2844 × |
32844 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and forty-four |
| Binary (base 2) | 1000000001001100 |
| Octal (base 8) | 100114 |
| Hexadecimal (base 16) | 804C |
| Base 3 | 1200001110 |
| As time | 32844 seconds = 9 h 7 min 24 s |
Is 32844 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32844 ÷ 2 = 16422) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32844 ÷ 3 = 10948) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32844 ÷ 4 = 8211) | 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 (32844 ÷ 6 = 5474) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32844 ÷ 7 = 4692) | 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 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (32844 ÷ 12 = 2737) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32844 a prime number?
No. 32844 = × 3 × 7 × 17 × 23, so it is divisible by 2.
What are the factors of 32844?
1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 23, 28, 34, 42, 46, 51, 68, 69, 84, 92, 102, 119, 138, 161, 204, 238, 276, 322, 357, 391, 476, 483, 644, 714, 782, 966, 1173, 1428, 1564, 1932, 2346, 2737, 4692, 5474, 8211, 10948, 16422, 32844.
What is 32844 in binary?
1000000001001100 (hexadecimal 804C, octal 100114).
What is the square root of 32844?
About 181.2291, exactly 2√8211.
Is 32844 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 32844?
32844 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.