The number 6988
6988 is a composite number with 6 divisors. Its prime factorisation is × 1747. Divisors (6): 1, 2, 4, 1747, 3494, 6988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6988 is composite. Its prime factorisation is
- 3
The divisors add up to 12236; without 6988 itself that is 5248, so 6988 is deficient (5248 is less than 6988). Euler's totient φ(6988) = 3492 numbers up to 6988 share no factor with it.
- 4
The digits of 6988 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6988 = 2^{2} \times 1747 \]6988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 12236 |
| Euler totient φ(n) | 3492 |
| Square | 48832144 |
| Cube | 341239022272 |
| Square root | 83.594258 (= 2√1747) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 150 |
| Scientific notation | 6.988 × |
6988 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and eighty-eight |
| Binary (base 2) | 1101101001100 |
| Octal (base 8) | 15514 |
| Hexadecimal (base 16) | 1B4C |
| Base 3 | 100120211 |
| As time | 6988 seconds = 1 h 56 min 28 s |
Is 6988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6988 ÷ 2 = 3494) | 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 | Yes (6988 ÷ 4 = 1747) | 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 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 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6988 a prime number?
No. 6988 = × 1747, so it is divisible by 2.
What are the factors of 6988?
1, 2, 4, 1747, 3494, 6988.
What is 6988 in binary?
1101101001100 (hexadecimal 1B4C, octal 15514).
What is the square root of 6988?
About 83.5943, exactly 2√1747.
Is 6988 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 6988?
It is a composite number with 6 divisors.