The number 5998
5998 is a composite number with 4 divisors. Its prime factorisation is 2 × 2999. Divisors (4): 1, 2, 2999, 5998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5998: a semiprime: 2 × 2999, the product of two primes.
- 2
5998 is composite. Its prime factorisation is
- 3
The divisors add up to 9000; without 5998 itself that is 3002, so 5998 is deficient (3002 is less than 5998). Euler's totient φ(5998) = 2998 numbers up to 5998 share no factor with it.
- 4
The digits of 5998 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5998 = 2 \times 2999 \]
5998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9000 |
| Euler totient φ(n) | 2998 |
| Square | 35976004 |
| Cube | 215784071992 |
| Square root | 77.446756 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.998 × |
5998 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and ninety-eight |
| Binary (base 2) | 1011101101110 |
| Octal (base 8) | 13556 |
| Hexadecimal (base 16) | 176E |
| Base 3 | 22020011 |
| As time | 5998 seconds = 1 h 39 min 58 s |
Is 5998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5998 ÷ 2 = 2999) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5998 a prime number?
No. 5998 = 2 × 2999, so it is divisible by 2.
What are the factors of 5998?
1, 2, 2999, 5998.
What is 5998 in binary?
1011101101110 (hexadecimal 176E, octal 13556).
What is the square root of 5998?
About 77.4468.
Is 5998 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 5998?
5998 is a semiprime: 2 × 2999, the product of two primes.