The number 3796
3796 is a composite number with 12 divisors. Its prime factorisation is × 13 × 73. Divisors (12): 1, 2, 4, 13, 26, 52, 73, 146, 292, 949, 1898, 3796.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3796 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3796 is composite. Its prime factorisation is
- 3
The divisors add up to 7252; without 3796 itself that is 3456, so 3796 is deficient (3456 is less than 3796). Euler's totient φ(3796) = 1728 numbers up to 3796 share no factor with it.
- 4
The digits of 3796 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3796 = 2^{2} \times 13 \times 73 \]3796 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7252 |
| Euler totient φ(n) | 1728 |
| Square | 14409616 |
| Cube | 54698902336 |
| Square root | 61.611687 (= 2√949) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.796 × |
3796 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and ninety-six |
| Roman numerals | MMMDCCXCVI |
| Binary (base 2) | 111011010100 |
| Octal (base 8) | 7324 |
| Hexadecimal (base 16) | ED4 |
| Base 3 | 12012121 |
| As time | 3796 seconds = 1 h 3 min 16 s |
Is 3796 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3796 ÷ 2 = 1898) | 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 (3796 ÷ 4 = 949) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 3796 a prime number?
No. 3796 = × 13 × 73, so it is divisible by 2.
What are the factors of 3796?
1, 2, 4, 13, 26, 52, 73, 146, 292, 949, 1898, 3796.
What is 3796 in binary?
111011010100 (hexadecimal ED4, octal 7324).
What is the square root of 3796?
About 61.6117, exactly 2√949.
What is 3796 in Roman numerals?
MMMDCCXCVI.
Is 3796 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 3796?
It is a composite number with 12 divisors.