The number 35820
35820 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 199. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 35820.
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How to work it out
- 1
What is special about 35820: a Harshad number: divisible by its digit sum 18.
- 2
35820 is composite. Its prime factorisation is
- 3
The divisors add up to 109200; without 35820 itself that is 73380, so 35820 is abundant (73380 is more than 35820). Euler's totient φ(35820) = 9504 numbers up to 35820 share no factor with it.
- 4
The digits of 35820 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35820 = 2^{2} \times 3^{2} \times 5 \times 199 \]35820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 109200 |
| Euler totient φ(n) | 9504 |
| Square | 1283072400 |
| Cube | 45959653368000 |
| Square root | 189.261724 (= 6√995) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.582 × |
35820 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand eight hundred and twenty |
| Binary (base 2) | 1000101111101100 |
| Octal (base 8) | 105754 |
| Hexadecimal (base 16) | 8BEC |
| Base 3 | 1211010200 |
| As time | 35820 seconds = 9 h 57 min 0 s |
Is 35820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35820 ÷ 2 = 17910) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35820 ÷ 3 = 11940) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35820 ÷ 4 = 8955) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35820 ÷ 5 = 7164) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35820 ÷ 6 = 5970) | 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 | Yes (35820 ÷ 9 = 3980) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (35820 ÷ 10 = 3582) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35820 ÷ 12 = 2985) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35820 a prime number?
No. 35820 = × × 5 × 199, so it is divisible by 2.
What are the factors of 35820?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 199, 398, 597, 796, 995, 1194, 1791, 1990, 2388, 2985, 3582, 3980, 5970, 7164, 8955, 11940, 17910, 35820.
What is 35820 in binary?
1000101111101100 (hexadecimal 8BEC, octal 105754).
What is the square root of 35820?
About 189.2617, exactly 6√995.
Is 35820 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 35820?
35820 is a Harshad number: divisible by its digit sum 18.