The number 6998
6998 is a composite number with 4 divisors. Its prime factorisation is 2 × 3499. Divisors (4): 1, 2, 3499, 6998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6998: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 3499, the product of two primes.
- 2
6998 is composite. Its prime factorisation is
- 3
The divisors add up to 10500; without 6998 itself that is 3502, so 6998 is deficient (3502 is less than 6998). Euler's totient φ(6998) = 3498 numbers up to 6998 share no factor with it.
- 4
The digits of 6998 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6998 = 2 \times 3499 \]
6998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10500 |
| Euler totient φ(n) | 3498 |
| Square | 48972004 |
| Cube | 342706083992 |
| Square root | 83.654050 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 132 |
| Scientific notation | 6.998 × |
6998 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and ninety-eight |
| Binary (base 2) | 1101101010110 |
| Octal (base 8) | 15526 |
| Hexadecimal (base 16) | 1B56 |
| Base 3 | 100121012 |
| As time | 6998 seconds = 1 h 56 min 38 s |
Is 6998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6998 ÷ 2 = 3499) | 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 5) | 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 2) | 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 6998 a prime number?
No. 6998 = 2 × 3499, so it is divisible by 2.
What are the factors of 6998?
1, 2, 3499, 6998.
What is 6998 in binary?
1101101010110 (hexadecimal 1B56, octal 15526).
What is the square root of 6998?
About 83.6540.
Is 6998 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 6998?
6998 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 3499, the product of two primes.