The number 6990
6990 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 233. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6990 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6990 is composite. Its prime factorisation is
- 3
The divisors add up to 16848; without 6990 itself that is 9858, so 6990 is abundant (9858 is more than 6990). Euler's totient φ(6990) = 1856 numbers up to 6990 share no factor with it.
- 4
The digits of 6990 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6990 = 2 \times 3 \times 5 \times 233 \]
6990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 16848 |
| Euler totient φ(n) | 1856 |
| Square | 48860100 |
| Cube | 341532099000 |
| Square root | 83.606220 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 6.99 × |
6990 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and ninety |
| Binary (base 2) | 1101101001110 |
| Octal (base 8) | 15516 |
| Hexadecimal (base 16) | 1B4E |
| Base 3 | 100120220 |
| As time | 6990 seconds = 1 h 56 min 30 s |
Is 6990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6990 ÷ 2 = 3495) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6990 ÷ 3 = 2330) | 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 | Yes (6990 ÷ 5 = 1398) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6990 ÷ 6 = 1165) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6990 ÷ 10 = 699) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6990 a prime number?
No. 6990 = 2 × 3 × 5 × 233, so it is divisible by 2.
What are the factors of 6990?
1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990.
What is 6990 in binary?
1101101001110 (hexadecimal 1B4E, octal 15516).
What is the square root of 6990?
About 83.6062.
Is 6990 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 6990?
It is a composite number with 16 divisors.