The number 35808
35808 is a composite number with 24 divisors. Its prime factorisation is × 3 × 373. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 373, 746, 1119, 1492 … 35808.
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How to work it out
- 1
What is special about 35808: a Harshad number: divisible by its digit sum 24.
- 2
35808 is composite. Its prime factorisation is
- 3
The divisors add up to 94248; without 35808 itself that is 58440, so 35808 is abundant (58440 is more than 35808). Euler's totient φ(35808) = 11904 numbers up to 35808 share no factor with it.
- 4
The digits of 35808 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35808 = 2^{5} \times 3 \times 373 \]35808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 94248 |
| Euler totient φ(n) | 11904 |
| Square | 1282212864 |
| Cube | 45913478234112 |
| Square root | 189.230019 (= 4√2238) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.5808 × |
35808 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand eight hundred and eight |
| Binary (base 2) | 1000101111100000 |
| Octal (base 8) | 105740 |
| Hexadecimal (base 16) | 8BE0 |
| Base 3 | 1211010020 |
| As time | 35808 seconds = 9 h 56 min 48 s |
Is 35808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35808 ÷ 2 = 17904) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35808 ÷ 3 = 11936) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35808 ÷ 4 = 8952) | 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 | Yes (35808 ÷ 6 = 5968) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (35808 ÷ 8 = 4476) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35808 ÷ 12 = 2984) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35808 a prime number?
No. 35808 = × 3 × 373, so it is divisible by 2.
What are the factors of 35808?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 373, 746, 1119, 1492, 2238, 2984, 4476, 5968, 8952, 11936, 17904, 35808.
What is 35808 in binary?
1000101111100000 (hexadecimal 8BE0, octal 105740).
What is the square root of 35808?
About 189.2300, exactly 4√2238.
Is 35808 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 35808?
35808 is a Harshad number: divisible by its digit sum 24.