The number 5992
5992 is a composite number with 16 divisors. Its prime factorisation is × 7 × 107. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 107, 214, 428, 749, 856, 1498, 2996, 5992.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5992 is composite. Its prime factorisation is
- 3
The divisors add up to 12960; without 5992 itself that is 6968, so 5992 is abundant (6968 is more than 5992). Euler's totient φ(5992) = 2544 numbers up to 5992 share no factor with it.
- 4
The digits of 5992 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5992 = 2^{3} \times 7 \times 107 \]5992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 12960 |
| Euler totient φ(n) | 2544 |
| Square | 35904064 |
| Cube | 215137151488 |
| Square root | 77.408010 (= 2√1498) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.992 × |
5992 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and ninety-two |
| Binary (base 2) | 1011101101000 |
| Octal (base 8) | 13550 |
| Hexadecimal (base 16) | 1768 |
| Base 3 | 22012221 |
| As time | 5992 seconds = 1 h 39 min 52 s |
Is 5992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5992 ÷ 2 = 2996) | 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 (5992 ÷ 4 = 1498) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (5992 ÷ 7 = 856) | 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 (5992 ÷ 8 = 749) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 5992 a prime number?
No. 5992 = × 7 × 107, so it is divisible by 2.
What are the factors of 5992?
1, 2, 4, 7, 8, 14, 28, 56, 107, 214, 428, 749, 856, 1498, 2996, 5992.
What is 5992 in binary?
1011101101000 (hexadecimal 1768, octal 13550).
What is the square root of 5992?
About 77.4080, exactly 2√1498.
Is 5992 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 5992?
It is a composite number with 16 divisors.