The number 32424
32424 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 193. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 … 32424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32424: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32424 is composite. Its prime factorisation is
- 3
The divisors add up to 93120; without 32424 itself that is 60696, so 32424 is abundant (60696 is more than 32424). Euler's totient φ(32424) = 9216 numbers up to 32424 share no factor with it.
- 4
The digits of 32424 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32424 = 2^{3} \times 3 \times 7 \times 193 \]32424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 93120 |
| Euler totient φ(n) | 9216 |
| Square | 1051315776 |
| Cube | 34087862721024 |
| Square root | 180.066654 (= 2√8106) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.2424 × |
32424 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and twenty-four |
| Binary (base 2) | 111111010101000 |
| Octal (base 8) | 77250 |
| Hexadecimal (base 16) | 7EA8 |
| Base 3 | 1122110220 |
| As time | 32424 seconds = 9 h 0 min 24 s |
Is 32424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32424 ÷ 2 = 16212) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32424 ÷ 3 = 10808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32424 ÷ 4 = 8106) | 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 (32424 ÷ 6 = 5404) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32424 ÷ 7 = 4632) | 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 (32424 ÷ 8 = 4053) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (32424 ÷ 12 = 2702) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32424 a prime number?
No. 32424 = × 3 × 7 × 193, so it is divisible by 2.
What are the factors of 32424?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 193, 386, 579, 772, 1158, 1351, 1544, 2316, 2702, 4053, 4632, 5404, 8106, 10808, 16212, 32424.
What is 32424 in binary?
111111010101000 (hexadecimal 7EA8, octal 77250).
What is the square root of 32424?
About 180.0667, exactly 2√8106.
Is 32424 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 32424?
32424 is a happy number: repeatedly adding the squares of its digits reaches 1.