The number 36772
36772 is a composite number with 12 divisors. Its prime factorisation is × 29 × 317. Divisors (12): 1, 2, 4, 29, 58, 116, 317, 634, 1268, 9193, 18386, 36772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36772 is composite. Its prime factorisation is
- 3
The divisors add up to 66780; without 36772 itself that is 30008, so 36772 is deficient (30008 is less than 36772). Euler's totient φ(36772) = 17696 numbers up to 36772 share no factor with it.
- 4
The digits of 36772 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36772 = 2^{2} \times 29 \times 317 \]36772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 66780 |
| Euler totient φ(n) | 17696 |
| Square | 1352179984 |
| Cube | 49722362371648 |
| Square root | 191.760267 (= 2√9193) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.6772 × |
36772 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and seventy-two |
| Binary (base 2) | 1000111110100100 |
| Octal (base 8) | 107644 |
| Hexadecimal (base 16) | 8FA4 |
| Base 3 | 1212102221 |
| As time | 36772 seconds = 10 h 12 min 52 s |
Is 36772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36772 ÷ 2 = 18386) | 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 | Yes (36772 ÷ 4 = 9193) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36772 a prime number?
No. 36772 = × 29 × 317, so it is divisible by 2.
What are the factors of 36772?
1, 2, 4, 29, 58, 116, 317, 634, 1268, 9193, 18386, 36772.
What is 36772 in binary?
1000111110100100 (hexadecimal 8FA4, octal 107644).
What is the square root of 36772?
About 191.7603, exactly 2√9193.
Is 36772 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 36772?
It is a composite number with 12 divisors.