The number 35828
35828 is a composite number with 18 divisors. Its prime factorisation is × × 53. Divisors (18): 1, 2, 4, 13, 26, 52, 53, 106, 169, 212, 338, 676, 689, 1378, 2756, 8957 … 35828.
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How to work it out
- 1
What is special about 35828: a Harshad number: divisible by its digit sum 26.
- 2
35828 is composite. Its prime factorisation is
- 3
The divisors add up to 69174; without 35828 itself that is 33346, so 35828 is deficient (33346 is less than 35828). Euler's totient φ(35828) = 16224 numbers up to 35828 share no factor with it.
- 4
The digits of 35828 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35828 = 2^{2} \times 13^{2} \times 53 \]35828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 69174 |
| Euler totient φ(n) | 16224 |
| Square | 1283645584 |
| Cube | 45990453983552 |
| Square root | 189.282857 (= 26√53) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5828 × |
35828 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand eight hundred and twenty-eight |
| Binary (base 2) | 1000101111110100 |
| Octal (base 8) | 105764 |
| Hexadecimal (base 16) | 8BF4 |
| Base 3 | 1211010222 |
| As time | 35828 seconds = 9 h 57 min 8 s |
Is 35828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35828 ÷ 2 = 17914) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35828 ÷ 4 = 8957) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 8) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35828 a prime number?
No. 35828 = × × 53, so it is divisible by 2.
What are the factors of 35828?
1, 2, 4, 13, 26, 52, 53, 106, 169, 212, 338, 676, 689, 1378, 2756, 8957, 17914, 35828.
What is 35828 in binary?
1000101111110100 (hexadecimal 8BF4, octal 105764).
What is the square root of 35828?
About 189.2829, exactly 26√53.
Is 35828 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 35828?
35828 is a Harshad number: divisible by its digit sum 26.