The number 36162
36162 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 41. Divisors (36): 1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 49, 63, 82, 98, 123 … 36162.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36162: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
36162 is composite. Its prime factorisation is
- 3
The divisors add up to 93366; without 36162 itself that is 57204, so 36162 is abundant (57204 is more than 36162). Euler's totient φ(36162) = 10080 numbers up to 36162 share no factor with it.
- 4
The digits of 36162 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 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36162 = 2 \times 3^{2} \times 7^{2} \times 41 \]36162 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 93366 |
| Euler totient φ(n) | 10080 |
| Square | 1307690244 |
| Cube | 47288694603528 |
| Square root | 190.163088 (= 21√82) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.6162 × |
36162 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand one hundred and sixty-two |
| Binary (base 2) | 1000110101000010 |
| Octal (base 8) | 106502 |
| Hexadecimal (base 16) | 8D42 |
| Base 3 | 1211121100 |
| As time | 36162 seconds = 10 h 2 min 42 s |
Is 36162 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36162 ÷ 2 = 18081) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36162 ÷ 3 = 12054) | 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 (36162 ÷ 6 = 6027) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (36162 ÷ 7 = 5166) | 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 (36162 ÷ 9 = 4018) | 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 5) | 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 36162 a prime number?
No. 36162 = 2 × × × 41, so it is divisible by 2.
What are the factors of 36162?
1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 49, 63, 82, 98, 123, 126, 147, 246, 287, 294, 369, 441, 574, 738, 861, 882, 1722, 2009, 2583, 4018, 5166, 6027, 12054, 18081, 36162.
What is 36162 in binary?
1000110101000010 (hexadecimal 8D42, octal 106502).
What is the square root of 36162?
About 190.1631, exactly 21√82.
Is 36162 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 36162?
36162 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.