The number 36701
36701 is a composite number with 8 divisors. Its prime factorisation is Ć 107. Divisors (8): 1, 7, 49, 107, 343, 749, 5243, 36701.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36701 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36701 is composite. Its prime factorisation is
- 3
The divisors add up to 43200; without 36701 itself that is 6499, so 36701 is deficient (6499 is less than 36701). Euler's totient Ļ(36701) = 31164 numbers up to 36701 share no factor with it.
- 4
The digits of 36701 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36701 = 7^{3} \times 107 \]36701 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 43200 |
| Euler totient Ļ(n) | 31164 |
| Square | 1346963401 |
| Cube | 49434903780101 |
| Square root | 191.575051 (= 7ā749) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.6701 Ć |
36701 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and one |
| Binary (base 2) | 1000111101011101 |
| Octal (base 8) | 107535 |
| Hexadecimal (base 16) | 8F5D |
| Base 3 | 1212100022 |
| As time | 36701 seconds = 10 h 11 min 41 s |
Is 36701 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (36701 Ć· 7 = 5243) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36701 a prime number?
No. 36701 = Ć 107, so it is divisible by 7.
What are the factors of 36701?
1, 7, 49, 107, 343, 749, 5243, 36701.
What is 36701 in binary?
1000111101011101 (hexadecimal 8F5D, octal 107535).
What is the square root of 36701?
About 191.5751, exactly 7ā749.
Is 36701 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 36701?
It is a composite number with 8 divisors.