The number 5997
5997 is a composite number with 4 divisors. Its prime factorisation is 3 × 1999. Divisors (4): 1, 3, 1999, 5997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5997: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 1999, the product of two primes.
- 2
5997 is composite. Its prime factorisation is
- 3
The divisors add up to 8000; without 5997 itself that is 2003, so 5997 is deficient (2003 is less than 5997). Euler's totient φ(5997) = 3996 numbers up to 5997 share no factor with it.
- 4
The digits of 5997 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5997 = 3 \times 1999 \]
5997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8000 |
| Euler totient φ(n) | 3996 |
| Square | 35964009 |
| Cube | 215676161973 |
| Square root | 77.440300 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.997 × |
5997 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and ninety-seven |
| Binary (base 2) | 1011101101101 |
| Octal (base 8) | 13555 |
| Hexadecimal (base 16) | 176D |
| Base 3 | 22020010 |
| As time | 5997 seconds = 1 h 39 min 57 s |
Is 5997 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5997 ÷ 3 = 1999) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5997 a prime number?
No. 5997 = 3 × 1999, so it is divisible by 3.
What are the factors of 5997?
1, 3, 1999, 5997.
What is 5997 in binary?
1011101101101 (hexadecimal 176D, octal 13555).
What is the square root of 5997?
About 77.4403.
Is 5997 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 5997?
5997 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 1999, the product of two primes.