The number 36790
36790 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 283. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 130, 283, 566, 1415, 2830, 3679, 7358, 18395, 36790.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36790 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36790 is composite. Its prime factorisation is
- 3
The divisors add up to 71568; without 36790 itself that is 34778, so 36790 is deficient (34778 is less than 36790). Euler's totient φ(36790) = 13536 numbers up to 36790 share no factor with it.
- 4
The digits of 36790 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36790 = 2 \times 5 \times 13 \times 283 \]
36790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 71568 |
| Euler totient φ(n) | 13536 |
| Square | 1353504100 |
| Cube | 49795415839000 |
| Square root | 191.807195 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.679 × |
36790 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and ninety |
| Binary (base 2) | 1000111110110110 |
| Octal (base 8) | 107666 |
| Hexadecimal (base 16) | 8FB6 |
| Base 3 | 1212110121 |
| As time | 36790 seconds = 10 h 13 min 10 s |
Is 36790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36790 ÷ 2 = 18395) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36790 ÷ 5 = 7358) | 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 5) | 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 6) | 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 | Yes (36790 ÷ 10 = 3679) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36790 a prime number?
No. 36790 = 2 × 5 × 13 × 283, so it is divisible by 2.
What are the factors of 36790?
1, 2, 5, 10, 13, 26, 65, 130, 283, 566, 1415, 2830, 3679, 7358, 18395, 36790.
What is 36790 in binary?
1000111110110110 (hexadecimal 8FB6, octal 107666).
What is the square root of 36790?
About 191.8072.
Is 36790 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 36790?
It is a composite number with 16 divisors.