The number 36788
36788 is a composite number with 12 divisors. Its prime factorisation is × 17 × 541. Divisors (12): 1, 2, 4, 17, 34, 68, 541, 1082, 2164, 9197, 18394, 36788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36788 is composite. Its prime factorisation is
- 3
The divisors add up to 68292; without 36788 itself that is 31504, so 36788 is deficient (31504 is less than 36788). Euler's totient φ(36788) = 17280 numbers up to 36788 share no factor with it.
- 4
The digits of 36788 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36788 = 2^{2} \times 17 \times 541 \]36788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 68292 |
| Euler totient φ(n) | 17280 |
| Square | 1353356944 |
| Cube | 49787295255872 |
| Square root | 191.801981 (= 2√9197) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.6788 × |
36788 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and eighty-eight |
| Binary (base 2) | 1000111110110100 |
| Octal (base 8) | 107664 |
| Hexadecimal (base 16) | 8FB4 |
| Base 3 | 1212110112 |
| As time | 36788 seconds = 10 h 13 min 8 s |
Is 36788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36788 ÷ 2 = 18394) | 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 | Yes (36788 ÷ 4 = 9197) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | No (remainder 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36788 a prime number?
No. 36788 = × 17 × 541, so it is divisible by 2.
What are the factors of 36788?
1, 2, 4, 17, 34, 68, 541, 1082, 2164, 9197, 18394, 36788.
What is 36788 in binary?
1000111110110100 (hexadecimal 8FB4, octal 107664).
What is the square root of 36788?
About 191.8020, exactly 2√9197.
Is 36788 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 36788?
It is a composite number with 12 divisors.