The number 5994
5994 is a composite number with 20 divisors. Its prime factorisation is 2 × × 37. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 333, 666 … 5994.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5994: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
5994 is composite. Its prime factorisation is
- 3
The divisors add up to 13794; without 5994 itself that is 7800, so 5994 is abundant (7800 is more than 5994). Euler's totient φ(5994) = 1944 numbers up to 5994 share no factor with it.
- 4
The digits of 5994 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5994 = 2 \times 3^{4} \times 37 \]5994 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 13794 |
| Euler totient φ(n) | 1944 |
| Square | 35928036 |
| Cube | 215352647784 |
| Square root | 77.420927 (= 9√74) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.994 × |
5994 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and ninety-four |
| Binary (base 2) | 1011101101010 |
| Octal (base 8) | 13552 |
| Hexadecimal (base 16) | 176A |
| Base 3 | 22020000 |
| As time | 5994 seconds = 1 h 39 min 54 s |
Is 5994 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5994 ÷ 2 = 2997) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5994 ÷ 3 = 1998) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5994 ÷ 6 = 999) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5994 ÷ 9 = 666) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5994 a prime number?
No. 5994 = 2 × × 37, so it is divisible by 2.
What are the factors of 5994?
1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 333, 666, 999, 1998, 2997, 5994.
What is 5994 in binary?
1011101101010 (hexadecimal 176A, octal 13552).
What is the square root of 5994?
About 77.4209, exactly 9√74.
Is 5994 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 5994?
5994 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.