The number 6983
6983 is the 898th prime number. Its only divisors are 1 and 6983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6983: the 898th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6983 is prime, so its only factors are 1 and 6983. It is the 898th prime; the next prime is 6991 and the one before is 6977.
- 3
The divisors add up to 6984; without 6983 itself that is 1, so 6983 is deficient (1 is less than 6983). Euler's totient φ(6983) = 6982 numbers up to 6983 share no factor with it.
- 4
The digits of 6983 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
6983 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6984 |
| Euler totient φ(n) | 6982 |
| Square | 48762289 |
| Cube | 340507064087 |
| Square root | 83.564346 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 88 |
| Scientific notation | 6.983 × |
6983 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and eighty-three |
| Binary (base 2) | 1101101000111 |
| Octal (base 8) | 15507 |
| Hexadecimal (base 16) | 1B47 |
| Base 3 | 100120122 |
| As time | 6983 seconds = 1 h 56 min 23 s |
Is 6983 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | 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 5) | 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 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6983 a prime number?
Yes. 6983 is divisible only by 1 and itself.
What are the factors of 6983?
1, 6983.
What is 6983 in binary?
1101101000111 (hexadecimal 1B47, octal 15507).
What is the square root of 6983?
About 83.5643.
Is 6983 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 6983?
6983 is the 898th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.