The number 35840
35840 is a composite number with 44 divisors. Its prime factorisation is × 5 × 7. Divisors (44): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64 … 35840.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35840: a Harshad number: divisible by its digit sum 20.
- 2
35840 is composite. Its prime factorisation is
- 3
The divisors add up to 98256; without 35840 itself that is 62416, so 35840 is abundant (62416 is more than 35840). Euler's totient φ(35840) = 12288 numbers up to 35840 share no factor with it.
- 4
The digits of 35840 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35840 = 2^{10} \times 5 \times 7 \]35840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 44 |
| Sum of divisors | 98256 |
| Euler totient φ(n) | 12288 |
| Square | 1284505600 |
| Cube | 46036680704000 |
| Square root | 189.314553 (= 32√35) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 23 |
| Scientific notation | 3.584 × |
35840 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand eight hundred and forty |
| Binary (base 2) | 1000110000000000 |
| Octal (base 8) | 106000 |
| Hexadecimal (base 16) | 8C00 |
| Base 3 | 1211011102 |
| As time | 35840 seconds = 9 h 57 min 20 s |
Is 35840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35840 ÷ 2 = 17920) | 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 (35840 ÷ 4 = 8960) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35840 ÷ 5 = 7168) | 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 | Yes (35840 ÷ 7 = 5120) | 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 (35840 ÷ 8 = 4480) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (35840 ÷ 10 = 3584) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 35840 a prime number?
No. 35840 = × 5 × 7, so it is divisible by 2.
What are the factors of 35840?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 512, 560, 640, 896, 1024, 1120, 1280, 1792, 2240, 2560, 3584, 4480, 5120, 7168, 8960, 17920, 35840.
What is 35840 in binary?
1000110000000000 (hexadecimal 8C00, octal 106000).
What is the square root of 35840?
About 189.3146, exactly 32√35.
Is 35840 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 35840?
35840 is a Harshad number: divisible by its digit sum 20.