The number 5796
5796 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 23. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 23, 28, 36, 42, 46 … 5796.
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How to work it out
- 1
5796 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5796 is composite. Its prime factorisation is
- 3
The divisors add up to 17472; without 5796 itself that is 11676, so 5796 is abundant (11676 is more than 5796). Euler's totient φ(5796) = 1584 numbers up to 5796 share no factor with it.
- 4
The digits of 5796 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5796 = 2^{2} \times 3^{2} \times 7 \times 23 \]5796 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 17472 |
| Euler totient φ(n) | 1584 |
| Square | 33593616 |
| Cube | 194708598336 |
| Square root | 76.131465 (= 6√161) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 142 |
| Scientific notation | 5.796 × |
5796 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and ninety-six |
| Binary (base 2) | 1011010100100 |
| Octal (base 8) | 13244 |
| Hexadecimal (base 16) | 16A4 |
| Base 3 | 21221200 |
| As time | 5796 seconds = 1 h 36 min 36 s |
Is 5796 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5796 ÷ 2 = 2898) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5796 ÷ 3 = 1932) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5796 ÷ 4 = 1449) | 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 (5796 ÷ 6 = 966) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5796 ÷ 7 = 828) | 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 | Yes (5796 ÷ 9 = 644) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5796 ÷ 12 = 483) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5796 a prime number?
No. 5796 = × × 7 × 23, so it is divisible by 2.
What are the factors of 5796?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 23, 28, 36, 42, 46, 63, 69, 84, 92, 126, 138, 161, 207, 252, 276, 322, 414, 483, 644, 828, 966, 1449, 1932, 2898, 5796.
What is 5796 in binary?
1011010100100 (hexadecimal 16A4, octal 13244).
What is the square root of 5796?
About 76.1315, exactly 6√161.
Is 5796 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 5796?
It is a composite number with 36 divisors.