The number 36642
36642 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 31 × 197. Divisors (16): 1, 2, 3, 6, 31, 62, 93, 186, 197, 394, 591, 1182, 6107, 12214, 18321, 36642.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36642 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36642 is composite. Its prime factorisation is
- 3
The divisors add up to 76032; without 36642 itself that is 39390, so 36642 is abundant (39390 is more than 36642). Euler's totient φ(36642) = 11760 numbers up to 36642 share no factor with it.
- 4
The digits of 36642 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36642 = 2 \times 3 \times 31 \times 197 \]
36642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76032 |
| Euler totient φ(n) | 11760 |
| Square | 1342636164 |
| Cube | 49196874321288 |
| Square root | 191.421002 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.6642 × |
36642 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand six hundred and forty-two |
| Binary (base 2) | 1000111100100010 |
| Octal (base 8) | 107442 |
| Hexadecimal (base 16) | 8F22 |
| Base 3 | 1212021010 |
| As time | 36642 seconds = 10 h 10 min 42 s |
Is 36642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36642 ÷ 2 = 18321) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36642 ÷ 3 = 12214) | 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 (36642 ÷ 6 = 6107) | 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 | No (remainder 3) | 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 1) | 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 36642 a prime number?
No. 36642 = 2 × 3 × 31 × 197, so it is divisible by 2.
What are the factors of 36642?
1, 2, 3, 6, 31, 62, 93, 186, 197, 394, 591, 1182, 6107, 12214, 18321, 36642.
What is 36642 in binary?
1000111100100010 (hexadecimal 8F22, octal 107442).
What is the square root of 36642?
About 191.4210.
Is 36642 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 36642?
It is a composite number with 16 divisors.