The number 5996
5996 is a composite number with 6 divisors. Its prime factorisation is × 1499. Divisors (6): 1, 2, 4, 1499, 2998, 5996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5996 is composite. Its prime factorisation is
- 3
The divisors add up to 10500; without 5996 itself that is 4504, so 5996 is deficient (4504 is less than 5996). Euler's totient φ(5996) = 2996 numbers up to 5996 share no factor with it.
- 4
The digits of 5996 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5996 = 2^{2} \times 1499 \]5996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 10500 |
| Euler totient φ(n) | 2996 |
| Square | 35952016 |
| Cube | 215568287936 |
| Square root | 77.433843 (= 2√1499) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.996 × |
5996 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and ninety-six |
| Binary (base 2) | 1011101101100 |
| Octal (base 8) | 13554 |
| Hexadecimal (base 16) | 176C |
| Base 3 | 22020002 |
| As time | 5996 seconds = 1 h 39 min 56 s |
Is 5996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5996 ÷ 2 = 2998) | 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 (5996 ÷ 4 = 1499) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5996 a prime number?
No. 5996 = × 1499, so it is divisible by 2.
What are the factors of 5996?
1, 2, 4, 1499, 2998, 5996.
What is 5996 in binary?
1011101101100 (hexadecimal 176C, octal 13554).
What is the square root of 5996?
About 77.4338, exactly 2√1499.
Is 5996 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 5996?
It is a composite number with 6 divisors.