The number 35802
35802 is a composite number with 40 divisors. Its prime factorisation is 2 × × 13 × 17. Divisors (40): 1, 2, 3, 6, 9, 13, 17, 18, 26, 27, 34, 39, 51, 54, 78, 81 … 35802.
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How to work it out
- 1
What is special about 35802: a Harshad number: divisible by its digit sum 18.
- 2
35802 is composite. Its prime factorisation is
- 3
The divisors add up to 91476; without 35802 itself that is 55674, so 35802 is abundant (55674 is more than 35802). Euler's totient φ(35802) = 10368 numbers up to 35802 share no factor with it.
- 4
The digits of 35802 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35802 = 2 \times 3^{4} \times 13 \times 17 \]35802 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 91476 |
| Euler totient φ(n) | 10368 |
| Square | 1281783204 |
| Cube | 45890402269608 |
| Square root | 189.214164 (= 9√442) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5802 × |
35802 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand eight hundred and two |
| Binary (base 2) | 1000101111011010 |
| Octal (base 8) | 105732 |
| Hexadecimal (base 16) | 8BDA |
| Base 3 | 1211010000 |
| As time | 35802 seconds = 9 h 56 min 42 s |
Is 35802 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35802 ÷ 2 = 17901) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35802 ÷ 3 = 11934) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35802 ÷ 6 = 5967) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (35802 ÷ 9 = 3978) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35802 a prime number?
No. 35802 = 2 × × 13 × 17, so it is divisible by 2.
What are the factors of 35802?
1, 2, 3, 6, 9, 13, 17, 18, 26, 27, 34, 39, 51, 54, 78, 81, 102, 117, 153, 162, 221, 234, 306, 351, 442, 459, 663, 702, 918, 1053, 1326, 1377, 1989, 2106, 2754, 3978, 5967, 11934, 17901, 35802.
What is 35802 in binary?
1000101111011010 (hexadecimal 8BDA, octal 105732).
What is the square root of 35802?
About 189.2142, exactly 9√442.
Is 35802 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 35802?
35802 is a Harshad number: divisible by its digit sum 18.