The number 32428
32428 is a composite number with 18 divisors. Its prime factorisation is × × 67. Divisors (18): 1, 2, 4, 11, 22, 44, 67, 121, 134, 242, 268, 484, 737, 1474, 2948, 8107 … 32428.
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How to work it out
- 1
What is special about 32428: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32428 is composite. Its prime factorisation is
- 3
The divisors add up to 63308; without 32428 itself that is 30880, so 32428 is deficient (30880 is less than 32428). Euler's totient φ(32428) = 14520 numbers up to 32428 share no factor with it.
- 4
The digits of 32428 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32428 = 2^{2} \times 11^{2} \times 67 \]32428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 63308 |
| Euler totient φ(n) | 14520 |
| Square | 1051575184 |
| Cube | 34100480066752 |
| Square root | 180.077761 (= 22√67) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2428 × |
32428 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and twenty-eight |
| Binary (base 2) | 111111010101100 |
| Octal (base 8) | 77254 |
| Hexadecimal (base 16) | 7EAC |
| Base 3 | 1122111001 |
| As time | 32428 seconds = 9 h 0 min 28 s |
Is 32428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32428 ÷ 2 = 16214) | 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 (32428 ÷ 4 = 8107) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (32428 ÷ 11 = 2948) | 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 32428 a prime number?
No. 32428 = × × 67, so it is divisible by 2.
What are the factors of 32428?
1, 2, 4, 11, 22, 44, 67, 121, 134, 242, 268, 484, 737, 1474, 2948, 8107, 16214, 32428.
What is 32428 in binary?
111111010101100 (hexadecimal 7EAC, octal 77254).
What is the square root of 32428?
About 180.0778, exactly 22√67.
Is 32428 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 32428?
32428 is a happy number: repeatedly adding the squares of its digits reaches 1.