The number 27983
27983 is the 3054th prime number. Its only divisors are 1 and 27983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27983: the 3054th prime number.
- 2
27983 is prime, so its only factors are 1 and 27983. It is the 3054th prime; the next prime is 27997 and the one before is 27967.
- 3
The divisors add up to 27984; without 27983 itself that is 1, so 27983 is deficient (1 is less than 27983). Euler's totient φ(27983) = 27982 numbers up to 27983 share no factor with it.
- 4
The digits of 27983 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
27983 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27984 |
| Euler totient φ(n) | 27982 |
| Square | 783048289 |
| Cube | 21912040271087 |
| Square root | 167.281200 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7983 × |
27983 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and eighty-three |
| Binary (base 2) | 110110101001111 |
| Octal (base 8) | 66517 |
| Hexadecimal (base 16) | 6D4F |
| Base 3 | 1102101102 |
| As time | 27983 seconds = 7 h 46 min 23 s |
Is 27983 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 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 10) | 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 27983 a prime number?
Yes. 27983 is divisible only by 1 and itself.
What are the factors of 27983?
1, 27983.
What is 27983 in binary?
110110101001111 (hexadecimal 6D4F, octal 66517).
What is the square root of 27983?
About 167.2812.
Is 27983 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 27983?
27983 is the 3054th prime number.