The number 35728
35728 is a composite number with 40 divisors. Its prime factorisation is × 7 × 11 × 29. Divisors (40): 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 29, 44, 56, 58, 77, 88 … 35728.
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How to work it out
- 1
35728 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35728 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 35728 itself that is 53552, so 35728 is abundant (53552 is more than 35728). Euler's totient φ(35728) = 13440 numbers up to 35728 share no factor with it.
- 4
The digits of 35728 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35728 = 2^{4} \times 7 \times 11 \times 29 \]35728 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 13440 |
| Square | 1276489984 |
| Cube | 45606434148352 |
| Square root | 189.018518 (= 4√2233) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5728 × |
35728 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand seven hundred and twenty-eight |
| Binary (base 2) | 1000101110010000 |
| Octal (base 8) | 105620 |
| Hexadecimal (base 16) | 8B90 |
| Base 3 | 1211000021 |
| As time | 35728 seconds = 9 h 55 min 28 s |
Is 35728 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35728 ÷ 2 = 17864) | 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 (35728 ÷ 4 = 8932) | 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 | Yes (35728 ÷ 7 = 5104) | 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 (35728 ÷ 8 = 4466) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 (35728 ÷ 11 = 3248) | 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 35728 a prime number?
No. 35728 = × 7 × 11 × 29, so it is divisible by 2.
What are the factors of 35728?
1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 29, 44, 56, 58, 77, 88, 112, 116, 154, 176, 203, 232, 308, 319, 406, 464, 616, 638, 812, 1232, 1276, 1624, 2233, 2552, 3248, 4466, 5104, 8932, 17864, 35728.
What is 35728 in binary?
1000101110010000 (hexadecimal 8B90, octal 105620).
What is the square root of 35728?
About 189.0185, exactly 4√2233.
Is 35728 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 35728?
It is a composite number with 40 divisors.