The number 36722
36722 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 43 × 61. Divisors (16): 1, 2, 7, 14, 43, 61, 86, 122, 301, 427, 602, 854, 2623, 5246, 18361, 36722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36722 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36722 is composite. Its prime factorisation is
- 3
The divisors add up to 65472; without 36722 itself that is 28750, so 36722 is deficient (28750 is less than 36722). Euler's totient φ(36722) = 15120 numbers up to 36722 share no factor with it.
- 4
The digits of 36722 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36722 = 2 \times 7 \times 43 \times 61 \]
36722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 65472 |
| Euler totient φ(n) | 15120 |
| Square | 1348505284 |
| Cube | 49519811039048 |
| Square root | 191.629852 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.6722 × |
36722 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and twenty-two |
| Binary (base 2) | 1000111101110010 |
| Octal (base 8) | 107562 |
| Hexadecimal (base 16) | 8F72 |
| Base 3 | 1212101002 |
| As time | 36722 seconds = 10 h 12 min 2 s |
Is 36722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36722 ÷ 2 = 18361) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (36722 ÷ 7 = 5246) | 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 2) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36722 a prime number?
No. 36722 = 2 × 7 × 43 × 61, so it is divisible by 2.
What are the factors of 36722?
1, 2, 7, 14, 43, 61, 86, 122, 301, 427, 602, 854, 2623, 5246, 18361, 36722.
What is 36722 in binary?
1000111101110010 (hexadecimal 8F72, octal 107562).
What is the square root of 36722?
About 191.6299.
Is 36722 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 36722?
It is a composite number with 16 divisors.