The number 27998
27998 is a composite number with 4 divisors. Its prime factorisation is 2 × 13999. Divisors (4): 1, 2, 13999, 27998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27998: a semiprime: 2 × 13999, the product of two primes.
- 2
27998 is composite. Its prime factorisation is
- 3
The divisors add up to 42000; without 27998 itself that is 14002, so 27998 is deficient (14002 is less than 27998). Euler's totient φ(27998) = 13998 numbers up to 27998 share no factor with it.
- 4
The digits of 27998 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27998 = 2 \times 13999 \]
27998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 42000 |
| Euler totient φ(n) | 13998 |
| Square | 783888004 |
| Cube | 21947296335992 |
| Square root | 167.326029 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7998 × |
27998 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and ninety-eight |
| Binary (base 2) | 110110101011110 |
| Octal (base 8) | 66536 |
| Hexadecimal (base 16) | 6D5E |
| Base 3 | 1102101222 |
| As time | 27998 seconds = 7 h 46 min 38 s |
Is 27998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27998 ÷ 2 = 13999) | 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 | 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 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27998 a prime number?
No. 27998 = 2 × 13999, so it is divisible by 2.
What are the factors of 27998?
1, 2, 13999, 27998.
What is 27998 in binary?
110110101011110 (hexadecimal 6D5E, octal 66536).
What is the square root of 27998?
About 167.3260.
Is 27998 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 27998?
27998 is a semiprime: 2 × 13999, the product of two primes.