The number 36801
36801 is a composite number with 16 divisors. Its prime factorisation is × 29 × 47. Divisors (16): 1, 3, 9, 27, 29, 47, 87, 141, 261, 423, 783, 1269, 1363, 4089, 12267, 36801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36801 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36801 is composite. Its prime factorisation is
- 3
The divisors add up to 57600; without 36801 itself that is 20799, so 36801 is deficient (20799 is less than 36801). Euler's totient φ(36801) = 23184 numbers up to 36801 share no factor with it.
- 4
The digits of 36801 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 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36801 = 3^{3} \times 29 \times 47 \]36801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 57600 |
| Euler totient φ(n) | 23184 |
| Square | 1354313601 |
| Cube | 49840094830401 |
| Square root | 191.835867 (= 3√4089) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.6801 × |
36801 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand eight hundred and one |
| Binary (base 2) | 1000111111000001 |
| Octal (base 8) | 107701 |
| Hexadecimal (base 16) | 8FC1 |
| Base 3 | 1212111000 |
| As time | 36801 seconds = 10 h 13 min 21 s |
Is 36801 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 (36801 ÷ 3 = 12267) | 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 2) | 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 | Yes (36801 ÷ 9 = 4089) | 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 | No (remainder 6) | 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 36801 a prime number?
No. 36801 = × 29 × 47, so it is divisible by 3.
What are the factors of 36801?
1, 3, 9, 27, 29, 47, 87, 141, 261, 423, 783, 1269, 1363, 4089, 12267, 36801.
What is 36801 in binary?
1000111111000001 (hexadecimal 8FC1, octal 107701).
What is the square root of 36801?
About 191.8359, exactly 3√4089.
Is 36801 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 36801?
It is a composite number with 16 divisors.