The number 36201
36201 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1097. Divisors (8): 1, 3, 11, 33, 1097, 3291, 12067, 36201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36201 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36201 is composite. Its prime factorisation is
- 3
The divisors add up to 52704; without 36201 itself that is 16503, so 36201 is deficient (16503 is less than 36201). Euler's totient φ(36201) = 21920 numbers up to 36201 share no factor with it.
- 4
The digits of 36201 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36201 = 3 \times 11 \times 1097 \]
36201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 52704 |
| Euler totient φ(n) | 21920 |
| Square | 1310512401 |
| Cube | 47441859428601 |
| Square root | 190.265604 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.6201 × |
36201 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand two hundred and one |
| Binary (base 2) | 1000110101101001 |
| Octal (base 8) | 106551 |
| Hexadecimal (base 16) | 8D69 |
| Base 3 | 1211122210 |
| As time | 36201 seconds = 10 h 3 min 21 s |
Is 36201 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36201 ÷ 3 = 12067) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (36201 ÷ 11 = 3291) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36201 a prime number?
No. 36201 = 3 × 11 × 1097, so it is divisible by 3.
What are the factors of 36201?
1, 3, 11, 33, 1097, 3291, 12067, 36201.
What is 36201 in binary?
1000110101101001 (hexadecimal 8D69, octal 106551).
What is the square root of 36201?
About 190.2656.
Is 36201 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 36201?
It is a composite number with 8 divisors.