The number 35428
35428 is a composite number with 12 divisors. Its prime factorisation is × 17 × 521. Divisors (12): 1, 2, 4, 17, 34, 68, 521, 1042, 2084, 8857, 17714, 35428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35428 is composite. Its prime factorisation is
- 3
The divisors add up to 65772; without 35428 itself that is 30344, so 35428 is deficient (30344 is less than 35428). Euler's totient φ(35428) = 16640 numbers up to 35428 share no factor with it.
- 4
The digits of 35428 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 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35428 = 2^{2} \times 17 \times 521 \]35428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 65772 |
| Euler totient φ(n) | 16640 |
| Square | 1255143184 |
| Cube | 44467212722752 |
| Square root | 188.223272 (= 2√8857) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.5428 × |
35428 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand four hundred and twenty-eight |
| Binary (base 2) | 1000101001100100 |
| Octal (base 8) | 105144 |
| Hexadecimal (base 16) | 8A64 |
| Base 3 | 1210121011 |
| As time | 35428 seconds = 9 h 50 min 28 s |
Is 35428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35428 ÷ 2 = 17714) | 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 (35428 ÷ 4 = 8857) | 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 1) | 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 4) | 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 | No (remainder 8) | 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 35428 a prime number?
No. 35428 = × 17 × 521, so it is divisible by 2.
What are the factors of 35428?
1, 2, 4, 17, 34, 68, 521, 1042, 2084, 8857, 17714, 35428.
What is 35428 in binary?
1000101001100100 (hexadecimal 8A64, octal 105144).
What is the square root of 35428?
About 188.2233, exactly 2√8857.
Is 35428 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 35428?
It is a composite number with 12 divisors.