The number 83
83 is the 23rd prime number. Its only divisors are 1 and 83.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83: the 23rd prime number.
- 2
83 is prime, so its only factors are 1 and 83. It is the 23rd prime; the next prime is 89 and the one before is 79.
- 3
The divisors add up to 84; without 83 itself that is 1, so 83 is deficient (1 is less than 83). Euler's totient φ(83) = 82 numbers up to 83 share no factor with it.
- 4
The digits of 83 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
83 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 84 |
| Euler totient φ(n) | 82 |
| Square | 6889 |
| Cube | 571787 |
| Square root | 9.110434 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 110 |
| Scientific notation | 8.3 × |
83 in other forms
| Form | Value |
|---|---|
| In words | eighty-three |
| Roman numerals | LXXXIII |
| Binary (base 2) | 1010011 |
| Octal (base 8) | 123 |
| Hexadecimal (base 16) | 53 |
| Base 3 | 10002 |
| As time | 83 seconds = 1 min 23 s |
Is 83 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 6) | 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 3) | 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 6) | 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 83 a prime number?
Yes. 83 is divisible only by 1 and itself.
What are the factors of 83?
1, 83.
What is 83 in binary?
1010011 (hexadecimal 53, octal 123).
What is the square root of 83?
About 9.1104.
What is 83 in Roman numerals?
LXXXIII.
Is 83 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 83?
83 is the 23rd prime number.