The number 36200
36200 is a composite number with 24 divisors. Its prime factorisation is × × 181. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 181, 200, 362, 724, 905 … 36200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36200: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36200 is composite. Its prime factorisation is
- 3
The divisors add up to 84630; without 36200 itself that is 48430, so 36200 is abundant (48430 is more than 36200). Euler's totient φ(36200) = 14400 numbers up to 36200 share no factor with it.
- 4
The digits of 36200 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36200 = 2^{3} \times 5^{2} \times 181 \]36200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 84630 |
| Euler totient φ(n) | 14400 |
| Square | 1310440000 |
| Cube | 47437928000000 |
| Square root | 190.262976 (= 10√362) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.62 × |
36200 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand two hundred |
| Binary (base 2) | 1000110101101000 |
| Octal (base 8) | 106550 |
| Hexadecimal (base 16) | 8D68 |
| Base 3 | 1211122202 |
| As time | 36200 seconds = 10 h 3 min 20 s |
Is 36200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36200 ÷ 2 = 18100) | 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 (36200 ÷ 4 = 9050) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36200 ÷ 5 = 7240) | 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 | No (remainder 3) | 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 (36200 ÷ 8 = 4525) | 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 (36200 ÷ 10 = 3620) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 36200 a prime number?
No. 36200 = × × 181, so it is divisible by 2.
What are the factors of 36200?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 181, 200, 362, 724, 905, 1448, 1810, 3620, 4525, 7240, 9050, 18100, 36200.
What is 36200 in binary?
1000110101101000 (hexadecimal 8D68, octal 106550).
What is the square root of 36200?
About 190.2630, exactly 10√362.
Is 36200 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 36200?
36200 is a happy number: repeatedly adding the squares of its digits reaches 1.