The number 983
983 is the 166th prime number. Its only divisors are 1 and 983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 983: the 166th prime number.
- 2
983 is prime, so its only factors are 1 and 983. It is the 166th prime; the next prime is 991 and the one before is 977.
- 3
The divisors add up to 984; without 983 itself that is 1, so 983 is deficient (1 is less than 983). Euler's totient φ(983) = 982 numbers up to 983 share no factor with it.
- 4
The digits of 983 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
983 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 984 |
| Euler totient φ(n) | 982 |
| Square | 966289 |
| Cube | 949862087 |
| Square root | 31.352831 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 142 |
| Scientific notation | 9.83 × |
983 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and eighty-three |
| Roman numerals | CMLXXXIII |
| Binary (base 2) | 1111010111 |
| Octal (base 8) | 1727 |
| Hexadecimal (base 16) | 3D7 |
| Base 3 | 1100102 |
| As time | 983 seconds = 16 min 23 s |
Is 983 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 3) | 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 2) | 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 4) | 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 983 a prime number?
Yes. 983 is divisible only by 1 and itself.
What are the factors of 983?
1, 983.
What is 983 in binary?
1111010111 (hexadecimal 3D7, octal 1727).
What is the square root of 983?
About 31.3528.
What is 983 in Roman numerals?
CMLXXXIII.
Is 983 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 983?
983 is the 166th prime number.