The number 36001
36001 is a composite number with 8 divisors. Its prime factorisation is 7 × 37 × 139. Divisors (8): 1, 7, 37, 139, 259, 973, 5143, 36001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36001 is composite. Its prime factorisation is
- 3
The divisors add up to 42560; without 36001 itself that is 6559, so 36001 is deficient (6559 is less than 36001). Euler's totient φ(36001) = 29808 numbers up to 36001 share no factor with it.
- 4
The digits of 36001 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 217 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36001 = 7 \times 37 \times 139 \]
36001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 42560 |
| Euler totient φ(n) | 29808 |
| Square | 1296072001 |
| Cube | 46659888108001 |
| Square root | 189.739295 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 217 |
| Scientific notation | 3.6001 × |
36001 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and one |
| Binary (base 2) | 1000110010100001 |
| Octal (base 8) | 106241 |
| Hexadecimal (base 16) | 8CA1 |
| Base 3 | 1211101101 |
| As time | 36001 seconds = 10 h 0 min 1 s |
Is 36001 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (36001 ÷ 7 = 5143) | 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 1) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36001 a prime number?
No. 36001 = 7 × 37 × 139, so it is divisible by 7.
What are the factors of 36001?
1, 7, 37, 139, 259, 973, 5143, 36001.
What is 36001 in binary?
1000110010100001 (hexadecimal 8CA1, octal 106241).
What is the square root of 36001?
About 189.7393.
Is 36001 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 36001?
It is a composite number with 8 divisors.