The number 32484
32484 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2707. Divisors (12): 1, 2, 3, 4, 6, 12, 2707, 5414, 8121, 10828, 16242, 32484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32484: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32484 is composite. Its prime factorisation is
- 3
The divisors add up to 75824; without 32484 itself that is 43340, so 32484 is abundant (43340 is more than 32484). Euler's totient φ(32484) = 10824 numbers up to 32484 share no factor with it.
- 4
The digits of 32484 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32484 = 2^{2} \times 3 \times 2707 \]32484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 75824 |
| Euler totient φ(n) | 10824 |
| Square | 1055210256 |
| Cube | 34277449955904 |
| Square root | 180.233182 (= 2√8121) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.2484 × |
32484 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and eighty-four |
| Binary (base 2) | 111111011100100 |
| Octal (base 8) | 77344 |
| Hexadecimal (base 16) | 7EE4 |
| Base 3 | 1122120010 |
| As time | 32484 seconds = 9 h 1 min 24 s |
Is 32484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32484 ÷ 2 = 16242) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32484 ÷ 3 = 10828) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32484 ÷ 4 = 8121) | 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 (32484 ÷ 6 = 5414) | 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 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (32484 ÷ 12 = 2707) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32484 a prime number?
No. 32484 = × 3 × 2707, so it is divisible by 2.
What are the factors of 32484?
1, 2, 3, 4, 6, 12, 2707, 5414, 8121, 10828, 16242, 32484.
What is 32484 in binary?
111111011100100 (hexadecimal 7EE4, octal 77344).
What is the square root of 32484?
About 180.2332, exactly 2√8121.
Is 32484 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 32484?
32484 is a happy number: repeatedly adding the squares of its digits reaches 1.