The number 3696
3696 is a composite number with 40 divisors. Its prime factorisation is × 3 × 7 × 11. Divisors (40): 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33 … 3696.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3696: a Harshad number: divisible by its digit sum 24.
- 2
3696 is composite. Its prime factorisation is
- 3
The divisors add up to 11904; without 3696 itself that is 8208, so 3696 is abundant (8208 is more than 3696). Euler's totient φ(3696) = 960 numbers up to 3696 share no factor with it.
- 4
The digits of 3696 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3696 = 2^{4} \times 3 \times 7 \times 11 \]3696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 11904 |
| Euler totient φ(n) | 960 |
| Square | 13660416 |
| Cube | 50488897536 |
| Square root | 60.794737 (= 4√231) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.696 × |
3696 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and ninety-six |
| Roman numerals | MMMDCXCVI |
| Binary (base 2) | 111001110000 |
| Octal (base 8) | 7160 |
| Hexadecimal (base 16) | E70 |
| Base 3 | 12001220 |
| As time | 3696 seconds = 1 h 1 min 36 s |
Is 3696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3696 ÷ 2 = 1848) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3696 ÷ 3 = 1232) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3696 ÷ 4 = 924) | 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 | Yes (3696 ÷ 6 = 616) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3696 ÷ 7 = 528) | 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 | Yes (3696 ÷ 8 = 462) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (3696 ÷ 11 = 336) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3696 ÷ 12 = 308) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3696 a prime number?
No. 3696 = × 3 × 7 × 11, so it is divisible by 2.
What are the factors of 3696?
1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848, 3696.
What is 3696 in binary?
111001110000 (hexadecimal E70, octal 7160).
What is the square root of 3696?
About 60.7947, exactly 4√231.
What is 3696 in Roman numerals?
MMMDCXCVI.
Is 3696 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 3696?
3696 is a Harshad number: divisible by its digit sum 24.